Feb. 4, 2014
•Download as PPTX, PDF•
0 likes•827 views
The document provides information about an upcoming math test on inequalities and systems of equations. It includes: - A review of topics to be covered on the test like inequalities, parallel and perpendicular lines, and solving systems of equations by graphing, substitution, and elimination. - Sample problems and step-by-step explanations for solving systems of equations using different methods. - A word problem about determining the price of gloves and hats by setting up and solving a system of two equations. The document reviews key concepts and provides practice problems to help students prepare for an upcoming test on inequalities and systems of equations.
Report
Share
Report
Share
Recommended
Systems of Equations - EDUU 551
The document discusses different methods for solving systems of linear equations:
1) Graphing both equations on the same coordinate plane and finding the point of intersection.
2) Using the substitution method, which involves replacing one variable with an equivalent expression containing the other variable.
3) Using the elimination method, which involves adding or subtracting equations to eliminate a variable and then solving for the remaining variable.
The document provides examples of using substitution and elimination methods and discusses the possible solutions when graphing systems of linear equations.
Solve systemsbygraphing
This document discusses solving systems of equations by graphing. It defines a system of equations as two or more equations using the same variables, where the solution satisfies all equations. There are three possibilities when graphing systems: intersecting lines, where the intersection point is the solution; parallel lines, where there is no solution; and coinciding lines, where there are infinitely many solutions. It provides examples of each type of system and guides the student through solving sample systems by graphing and checking solutions.
Solve systemsbygraphing
The document discusses solving systems of equations by graphing. It defines a system of equations as two or more equations using the same variables. When graphing systems, there can be three possibilities: intersecting lines which have a single solution where the lines cross; parallel lines which have no solution; or coinciding lines which have infinitely many solutions since the lines overlap. The document provides examples of solving systems by graphing and checking solutions by substituting point values back into the original equations.
Solving System of Equations by Substitution
1) The document discusses solving systems of equations using substitution. It provides 5 steps for solving a system by substitution: 1) solve one equation for a variable, 2) substitute into the other equation, 3) solve the new equation, 4) plug back in to find the other variable, and 5) check the solution.
2) It then works through examples, showing that substitution is easiest when one equation is already solved for a variable. It also notes that if the final step results in a false statement, there are no solutions, and if true, there are infinitely many solutions.
Solve systemsbygraphing
This document discusses solving systems of equations by graphing. A system of equations contains two or more equations with the same variables. When graphing systems, lines can intersect at a point, be parallel with no solution, or coincide with infinitely many solutions. The document provides examples of each case and instructs students to graph systems, identify the intersection point or lack thereof, and check their answer by substituting values back into the original equations.
Solve Systems By Elimination
1) Put the equations in standard form if needed
2) Determine that y can be eliminated by multiplying the top equation by 3
3) Multiply the top equation by 3 and add it to the bottom equation to eliminate y
4) Solve the resulting equation for the remaining variable
5) Substitute back into one of the original equations to find the other variable
The solution to the system is (1, -2).
Solving systems of equations
This document provides an overview of solving systems of equations and inequalities in three methods: graphing, substitution, and elimination. It defines key terms like systems of equations and inequalities. Examples are given to demonstrate each method, including a real-world example about water pitchers. The objectives are listed as solving systems by these three methods and solving systems of inequalities. Benefits of understanding this topic and resources for further information are also outlined.
Reasoning with equations and inequalities
1) The document discusses two methods for solving systems of equations: setting the two equations equal to each other (Method 1), or substituting values from one equation into the other (Method 2).
2) An example problem demonstrates Method 1 to find the intersection points of the equations x2+y=4 and y=2x+1. The solutions are x=-3, y=-5 and x=1, y=3.
3) Practice problems provide opportunities to use both Method 1 and Method 2 to solve systems of equations and find their intersection points.
Recommended
Systems of Equations - EDUU 551
The document discusses different methods for solving systems of linear equations:
1) Graphing both equations on the same coordinate plane and finding the point of intersection.
2) Using the substitution method, which involves replacing one variable with an equivalent expression containing the other variable.
3) Using the elimination method, which involves adding or subtracting equations to eliminate a variable and then solving for the remaining variable.
The document provides examples of using substitution and elimination methods and discusses the possible solutions when graphing systems of linear equations.
Solve systemsbygraphing
This document discusses solving systems of equations by graphing. It defines a system of equations as two or more equations using the same variables, where the solution satisfies all equations. There are three possibilities when graphing systems: intersecting lines, where the intersection point is the solution; parallel lines, where there is no solution; and coinciding lines, where there are infinitely many solutions. It provides examples of each type of system and guides the student through solving sample systems by graphing and checking solutions.
Solve systemsbygraphing
The document discusses solving systems of equations by graphing. It defines a system of equations as two or more equations using the same variables. When graphing systems, there can be three possibilities: intersecting lines which have a single solution where the lines cross; parallel lines which have no solution; or coinciding lines which have infinitely many solutions since the lines overlap. The document provides examples of solving systems by graphing and checking solutions by substituting point values back into the original equations.
Solving System of Equations by Substitution
1) The document discusses solving systems of equations using substitution. It provides 5 steps for solving a system by substitution: 1) solve one equation for a variable, 2) substitute into the other equation, 3) solve the new equation, 4) plug back in to find the other variable, and 5) check the solution.
2) It then works through examples, showing that substitution is easiest when one equation is already solved for a variable. It also notes that if the final step results in a false statement, there are no solutions, and if true, there are infinitely many solutions.
Solve systemsbygraphing
This document discusses solving systems of equations by graphing. A system of equations contains two or more equations with the same variables. When graphing systems, lines can intersect at a point, be parallel with no solution, or coincide with infinitely many solutions. The document provides examples of each case and instructs students to graph systems, identify the intersection point or lack thereof, and check their answer by substituting values back into the original equations.
Solve Systems By Elimination
1) Put the equations in standard form if needed
2) Determine that y can be eliminated by multiplying the top equation by 3
3) Multiply the top equation by 3 and add it to the bottom equation to eliminate y
4) Solve the resulting equation for the remaining variable
5) Substitute back into one of the original equations to find the other variable
The solution to the system is (1, -2).
Solving systems of equations
This document provides an overview of solving systems of equations and inequalities in three methods: graphing, substitution, and elimination. It defines key terms like systems of equations and inequalities. Examples are given to demonstrate each method, including a real-world example about water pitchers. The objectives are listed as solving systems by these three methods and solving systems of inequalities. Benefits of understanding this topic and resources for further information are also outlined.
Reasoning with equations and inequalities
1) The document discusses two methods for solving systems of equations: setting the two equations equal to each other (Method 1), or substituting values from one equation into the other (Method 2).
2) An example problem demonstrates Method 1 to find the intersection points of the equations x2+y=4 and y=2x+1. The solutions are x=-3, y=-5 and x=1, y=3.
3) Practice problems provide opportunities to use both Method 1 and Method 2 to solve systems of equations and find their intersection points.
Sept. 30, 2013
The document provides information about a math class including:
- Student activity levels for the previous weekend.
- Upcoming topics and a midterm exam schedule.
- Details about the midterm exam and grading breakdown.
- Sample equations and explanations of solving different types of equations.
- A warm-up problem for students to work on in class.
Solving Systems by Graphing and Substitution
The document discusses solving systems of linear equations by graphing and substitution. It provides examples of solving systems by graphing, including putting equations in slope-intercept form and finding the intersection point. It also gives examples of solving systems by substitution, including steps like isolating a variable, substituting one equation into the other, solving the resulting equation, and checking solutions. Special cases like no solution and infinitely many solutions are also addressed.
Integrated Math 2 Section 8-7
The document discusses systems of linear inequalities and includes examples of writing, graphing, and solving systems of linear inequalities. It provides step-by-step workings for graphing two linear inequalities on the same coordinate plane and interpreting their intersection as the solution set to the corresponding system of inequalities. It also gives an example of writing a system of inequalities to model a real-world situation involving costs and time constraints.
May 29, 2015
The document provides a review for a final exam, including the following:
1) It reviews rational expressions and equations, as well as radicals.
2) Sample exam questions are presented in various math topics.
3) Notes are provided about the schedule, including the date of the final exam on rational expressions and equations, due dates for Khan Academy topics and class work, and upcoming STAR math testing.
4) The final part states that all of the sample questions were taken from versions of the upcoming final exam.
Systems of Linear Equations
The document discusses methods for solving systems of linear equations in two variables, including graphing the lines defined by each equation to find their point of intersection, the elimination method of adding multiples of equations to remove a variable, and the substitution method of solving one equation for one variable and substituting it into the other equation. It provides examples of applying these different solution methods to solve systems of linear equations and determining if a solution exists.
System of linear equations
The document summarizes systems of linear equations. It discusses how a system determines a collection of planes or hyperplanes in space, with the intersection point being the solution. It describes how a system can have infinitely many solutions, a single unique solution, or no solution, depending on the number of equations and variables. It also covers key concepts like independence, consistency, and equivalence regarding linear systems.
9.1 Systems of Linear Equations
This document discusses systems of linear equations and methods for solving them. It defines a linear system as a set of equations where all variables have an exponent of 1. There are three possibilities for a system: 1) a single solution, 2) no solution (inconsistent), or 3) infinitely many solutions. Four methods are presented for solving systems: substitution, elimination, graphing, and matrices. Examples are provided to illustrate substitution and elimination. The document also discusses how to determine if a system is inconsistent or has infinitely many solutions based on the outcome of solving the system.
Johelbys campos1
This document contains exercises to classify different types of differential equations based on their order, degree, linearity, and to determine the independent and unknown functions. It also contains exercises to find the differential equation that a given function satisfies, and to verify if a given function satisfies a given differential equation. The exercises provide the step-by-step workings and solutions.
Solving Systems of Linear Equation using Substitution method
This document describes the substitution method for solving systems of linear equations in two variables. It involves solving one equation for one of the variables and substituting that expression into the other equation to find the value of the other variable. The example shows solving the system of equations x + 3y = -4 and x - y = 16 by first solving the first equation for x in terms of y, then substituting that expression into the second equation to solve for y, and finally substituting the value of y back into the original expression for x to find the solution set (-11, -5).
Graph of a linear equation in two variables
The document discusses plotting solutions to a linear equation on a coordinate plane to graph it. It notes that while there are an infinite number of solutions, plotting a few points can help predict the shape of the graph. It then plots 5 solutions to the equation x + y = 6, with points falling in a straight line. This suggests the graph of any linear equation will be a straight line rather than a curve, since all points satisfying the equation must lie on the same line.
Condition (linear algebra)
The document discusses linear systems of equations and their properties. It defines a linear system as a collection of linear equations involving the same variables. A linear system can have either no solution, exactly one solution, or infinitely many solutions. A system is considered consistent if it has one solution or infinitely many solutions, and inconsistent if it has no solution. The document provides examples of consistent and inconsistent systems, and shows how to use row reduction to determine if a system is consistent or inconsistent.
System of linear equation - SLE
This presentation summarizes key concepts about systems of linear equations. It defines linear equations as those with powers of unknowns equal to 1. Linear equations can have one or multiple unknown variables. Systems of linear equations are classified as consistent or inconsistent based on whether the augmented matrix and coefficient matrix have the same rank. If the ranks are equal, the system is consistent and has either a unique solution or is redundant. If the ranks are unequal, the system is inconsistent. Real-life applications of solving systems of linear equations include event planning, finding unknown quantities, and comparing costs or nutritional information.
Solutions of linear systems (2.1 old)
This document discusses solving systems of linear equations and their possible solutions. It defines a system of linear equations as having either a unique solution, no solution (inconsistent), or an infinite number of solutions (dependent). It describes various methods for solving systems, including graphing, substitution, elimination and using echelon form. Several examples are provided and solved to illustrate each type of solution.
February 5, 2014
This document appears to be notes from a math class covering systems of inequalities and equations. It includes examples of solving systems of equations by elimination and substitution. It provides step-by-step instructions for setting up and solving systems using both methods. It also shows examples of applying systems of equations to word problems involving tickets sales and math test points.
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari...
This lesson plan utilized 5As Method with a subject matter;
Solving Systems of Linear Equations in two Variables using Substitution Method.
Systems equations two varibles
The document discusses solving systems of linear equations graphically. It explains that systems can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, are parallel, or are the same line. Several examples are worked through showing how to graph the lines and determine the number of solutions. The key steps are: 1) write the equations in slope-intercept form, 2) graph them on the same plane, 3) find where they intersect, and 4) check the solution satisfies both equations.
System of equations
This document discusses different methods for solving systems of linear equations, including Cramer's rule, elimination methods, and Gaussian elimination. Cramer's rule uses determinants to find the values of variables by dividing the determinant of the coefficients by the primary determinant. Elimination methods remove one unknown using row operations like addition and subtraction. Gaussian elimination transforms the coefficient matrix into triangular form using row operations, then back substitution can find the unique solution.
Pregunta 5
The document describes solving a system of equations where x2 - x1 = 0, x3 - x2 = 0, etc up to xn - xn-1 = 0. It explains that the system can be represented by an augmented matrix with n variables and n-1 equations, indicating there is 1 free variable. Since there is 1 free variable, any value can be given to xn, and the other variables will all equal that value by working backwards through the equations.
Linear Equations and Inequalities in One Variable
The document discusses linear equations and inequalities in one variable. It defines linear equations and inequalities, and describes methods for solving them including: guess-and-check, cover-up, and working backwards. It also covers properties of equality and inequality, and provides examples of solving linear equations and inequalities using these properties and graphical representations of solution sets on number lines.
1.1 Linear Equations
Identify basic properties of equations
Solve linear equations
Identify identities, conditional equations, and contradictions
Solve for a specific variable (literal equations)
February 27, 2014
Scientific notation is a shorthand method for representing very large and very small numbers. It involves moving the decimal place in a number and adding a power of 10 as an exponent. The document provides examples of how to convert between standard form numbers and their scientific notation equivalents, whether the number is large or small. It also addresses how to handle numbers with decimals in scientific notation. The rules for scientific notation are straightforward and allow for easy representation of numbers across wide ranges of scale.
April 1, 2014
1) The document discusses factoring quadratic trinomials of the form ax^2 + bx + c and solving quadratic equations.
2) Key aspects of quadratics are reviewed, including that they produce parabolic graphs and always have two solutions.
3) Methods for solving quadratics by factoring and setting equal to 0 are presented along with examples.
4) Applications of quadratic equations to problems involving sums of integers and their squares and finding dimensions of triangles based on given areas are demonstrated.
More Related Content
What's hot
Sept. 30, 2013
The document provides information about a math class including:
- Student activity levels for the previous weekend.
- Upcoming topics and a midterm exam schedule.
- Details about the midterm exam and grading breakdown.
- Sample equations and explanations of solving different types of equations.
- A warm-up problem for students to work on in class.
Solving Systems by Graphing and Substitution
The document discusses solving systems of linear equations by graphing and substitution. It provides examples of solving systems by graphing, including putting equations in slope-intercept form and finding the intersection point. It also gives examples of solving systems by substitution, including steps like isolating a variable, substituting one equation into the other, solving the resulting equation, and checking solutions. Special cases like no solution and infinitely many solutions are also addressed.
Integrated Math 2 Section 8-7
The document discusses systems of linear inequalities and includes examples of writing, graphing, and solving systems of linear inequalities. It provides step-by-step workings for graphing two linear inequalities on the same coordinate plane and interpreting their intersection as the solution set to the corresponding system of inequalities. It also gives an example of writing a system of inequalities to model a real-world situation involving costs and time constraints.
May 29, 2015
The document provides a review for a final exam, including the following:
1) It reviews rational expressions and equations, as well as radicals.
2) Sample exam questions are presented in various math topics.
3) Notes are provided about the schedule, including the date of the final exam on rational expressions and equations, due dates for Khan Academy topics and class work, and upcoming STAR math testing.
4) The final part states that all of the sample questions were taken from versions of the upcoming final exam.
Systems of Linear Equations
The document discusses methods for solving systems of linear equations in two variables, including graphing the lines defined by each equation to find their point of intersection, the elimination method of adding multiples of equations to remove a variable, and the substitution method of solving one equation for one variable and substituting it into the other equation. It provides examples of applying these different solution methods to solve systems of linear equations and determining if a solution exists.
System of linear equations
The document summarizes systems of linear equations. It discusses how a system determines a collection of planes or hyperplanes in space, with the intersection point being the solution. It describes how a system can have infinitely many solutions, a single unique solution, or no solution, depending on the number of equations and variables. It also covers key concepts like independence, consistency, and equivalence regarding linear systems.
9.1 Systems of Linear Equations
This document discusses systems of linear equations and methods for solving them. It defines a linear system as a set of equations where all variables have an exponent of 1. There are three possibilities for a system: 1) a single solution, 2) no solution (inconsistent), or 3) infinitely many solutions. Four methods are presented for solving systems: substitution, elimination, graphing, and matrices. Examples are provided to illustrate substitution and elimination. The document also discusses how to determine if a system is inconsistent or has infinitely many solutions based on the outcome of solving the system.
Johelbys campos1
This document contains exercises to classify different types of differential equations based on their order, degree, linearity, and to determine the independent and unknown functions. It also contains exercises to find the differential equation that a given function satisfies, and to verify if a given function satisfies a given differential equation. The exercises provide the step-by-step workings and solutions.
Solving Systems of Linear Equation using Substitution method
This document describes the substitution method for solving systems of linear equations in two variables. It involves solving one equation for one of the variables and substituting that expression into the other equation to find the value of the other variable. The example shows solving the system of equations x + 3y = -4 and x - y = 16 by first solving the first equation for x in terms of y, then substituting that expression into the second equation to solve for y, and finally substituting the value of y back into the original expression for x to find the solution set (-11, -5).
Graph of a linear equation in two variables
The document discusses plotting solutions to a linear equation on a coordinate plane to graph it. It notes that while there are an infinite number of solutions, plotting a few points can help predict the shape of the graph. It then plots 5 solutions to the equation x + y = 6, with points falling in a straight line. This suggests the graph of any linear equation will be a straight line rather than a curve, since all points satisfying the equation must lie on the same line.
Condition (linear algebra)
The document discusses linear systems of equations and their properties. It defines a linear system as a collection of linear equations involving the same variables. A linear system can have either no solution, exactly one solution, or infinitely many solutions. A system is considered consistent if it has one solution or infinitely many solutions, and inconsistent if it has no solution. The document provides examples of consistent and inconsistent systems, and shows how to use row reduction to determine if a system is consistent or inconsistent.
System of linear equation - SLE
This presentation summarizes key concepts about systems of linear equations. It defines linear equations as those with powers of unknowns equal to 1. Linear equations can have one or multiple unknown variables. Systems of linear equations are classified as consistent or inconsistent based on whether the augmented matrix and coefficient matrix have the same rank. If the ranks are equal, the system is consistent and has either a unique solution or is redundant. If the ranks are unequal, the system is inconsistent. Real-life applications of solving systems of linear equations include event planning, finding unknown quantities, and comparing costs or nutritional information.
Solutions of linear systems (2.1 old)
This document discusses solving systems of linear equations and their possible solutions. It defines a system of linear equations as having either a unique solution, no solution (inconsistent), or an infinite number of solutions (dependent). It describes various methods for solving systems, including graphing, substitution, elimination and using echelon form. Several examples are provided and solved to illustrate each type of solution.
February 5, 2014
This document appears to be notes from a math class covering systems of inequalities and equations. It includes examples of solving systems of equations by elimination and substitution. It provides step-by-step instructions for setting up and solving systems using both methods. It also shows examples of applying systems of equations to word problems involving tickets sales and math test points.
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari...
This lesson plan utilized 5As Method with a subject matter;
Solving Systems of Linear Equations in two Variables using Substitution Method.
Systems equations two varibles
The document discusses solving systems of linear equations graphically. It explains that systems can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, are parallel, or are the same line. Several examples are worked through showing how to graph the lines and determine the number of solutions. The key steps are: 1) write the equations in slope-intercept form, 2) graph them on the same plane, 3) find where they intersect, and 4) check the solution satisfies both equations.
System of equations
This document discusses different methods for solving systems of linear equations, including Cramer's rule, elimination methods, and Gaussian elimination. Cramer's rule uses determinants to find the values of variables by dividing the determinant of the coefficients by the primary determinant. Elimination methods remove one unknown using row operations like addition and subtraction. Gaussian elimination transforms the coefficient matrix into triangular form using row operations, then back substitution can find the unique solution.
Pregunta 5
The document describes solving a system of equations where x2 - x1 = 0, x3 - x2 = 0, etc up to xn - xn-1 = 0. It explains that the system can be represented by an augmented matrix with n variables and n-1 equations, indicating there is 1 free variable. Since there is 1 free variable, any value can be given to xn, and the other variables will all equal that value by working backwards through the equations.
Linear Equations and Inequalities in One Variable
The document discusses linear equations and inequalities in one variable. It defines linear equations and inequalities, and describes methods for solving them including: guess-and-check, cover-up, and working backwards. It also covers properties of equality and inequality, and provides examples of solving linear equations and inequalities using these properties and graphical representations of solution sets on number lines.
1.1 Linear Equations
Identify basic properties of equations
Solve linear equations
Identify identities, conditional equations, and contradictions
Solve for a specific variable (literal equations)
What's hot (20)
Solving Systems of Linear Equation using Substitution method
Solving Systems of Linear Equation using Substitution method
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari...
5As Method of Lesson Plan on Ssolving systems of linear equations in two vari...
Viewers also liked
February 27, 2014
Scientific notation is a shorthand method for representing very large and very small numbers. It involves moving the decimal place in a number and adding a power of 10 as an exponent. The document provides examples of how to convert between standard form numbers and their scientific notation equivalents, whether the number is large or small. It also addresses how to handle numbers with decimals in scientific notation. The rules for scientific notation are straightforward and allow for easy representation of numbers across wide ranges of scale.
April 1, 2014
1) The document discusses factoring quadratic trinomials of the form ax^2 + bx + c and solving quadratic equations.
2) Key aspects of quadratics are reviewed, including that they produce parabolic graphs and always have two solutions.
3) Methods for solving quadratics by factoring and setting equal to 0 are presented along with examples.
4) Applications of quadratic equations to problems involving sums of integers and their squares and finding dimensions of triangles based on given areas are demonstrated.
October. 27, 2014
The document provides information about an upcoming math exam and homework assignments. It includes a schedule for the week which focuses on absolute value, inequalities, and beginning a review for the final exam. Topics to study this week include absolute value equations, linear equation word problems, and solving rational equations. The document also provides practice problems and examples for the final exam review involving order of operations, simplifying expressions, integers, and solving absolute value equations.
February 10, 2014
1) Today's math class focuses on graphing systems of inequalities, solving systems of equations by elimination and substitution, and applying systems of equations.
2) The class will review concepts from the previous test on parallel/perpendicular lines and inequalities in preparation for the next test on Wednesday.
3) Tonight's homework is to practice problem sections in notebooks in preparation for concepts covered on the previous test and next test.
May 20, 2014
The document provides an overview of concepts to be reviewed for an upcoming test on Thursday, including radical equations, the Pythagorean theorem, distance and midpoint formulas. It then presents several example problems involving finding distances, midpoints, and missing coordinates using these concepts.
May 5, 2014
This document contains notes and examples related to reviewing concepts involving quadratics and radical operations:
- There is a review scheduled for the quadratic formula tomorrow and examples are provided of using the formula to solve quadratic equations.
- Examples are also given of simplifying radical expressions through combining like terms, rationalizing denominators containing radicals, and adding/subtracting radical expressions.
- Notes cover properties of square roots, simplifying radicals with variables, rationalizing binomial denominators, and solving word problems involving areas of squares using radicals.
September 23, 2013
This document provides steps for solving equations with fractions. It gives examples of solving single-term fractional equations by clearing fractions through multiplying terms by the least common denominator. It also works through an example of solving a multi-term fractional equation by first combining like terms, then finding the least common denominator and clearing fractions. Additional examples are provided for clearing decimals from equations and solving equations with fractions in parentheses. The document concludes with examples of other equation types and an announcement that the current week's class work will focus on equations.
December 16, 2013
The document provides a review for a test on ratios, rates, and proportional relationships. It includes the following topics:
1. Ratio and rate word problems
2. Unit rates
3. Converting between measurement units using ratios
4. Setting up and solving proportions to solve measurement problems
It notes that all Khan Academy assignments are due by Friday and too many students have a grade of zero on the homework, which counts for 20% of the overall grade. Students are encouraged to complete any outstanding work by December 20.
January 6, 2014 intro to functions
1. Mental Math: What is 5% of 80? 4
2. A ring has a SALE price of $540. This was 30% off. What is the ORIGINAL price? $780
3. A bike is on sale for $150. This is 25% off the regular price. What was the original price? $200
4. Write 3.4% as a fraction and as a decimal number. 3.4% = 17/500 = 0.034
5. Write one-tenth of ten percent as a fraction, decimal, and percent. One-tenth of ten percent = 1/100 = 0.1 = 10%
April 16, 2014
This document is a review of solving quadratic equations through factoring, taking the square root, and completing the square. It discusses the discriminant and how it determines the number of real solutions. Students are reminded that all Khan Academy work is due by April 23. It provides examples of finding the number of solutions, the axis of symmetry using the quadratic formula, and solving a quadratic equation by taking the square root.
April 7, 2014
1) The document outlines a class agenda that includes reviewing quadratics and new solving methods in preparation for a Friday test. It also notes a third quarter exam on Friday covering quadratics, factoring, exponents, and polynomials.
2) The class will begin with warm-up problems reviewing graphing quadratics and finding axes of symmetry. Steps for graphing the equation y + 6x = x^2 + 9 are provided.
3) Additional examples are given for graphing a quadratic function modeling the height of a basketball after being shot, finding the maximum height and time to reach it by using the vertex of the parabola.
January 10, 2014
The document discusses the point-slope formula for writing linear equations in point-slope form. It provides examples of writing linear equations in point-slope and slope-intercept form given a point and slope, or two points. It also discusses identifying when two lines are parallel or perpendicular based on their slopes. Students are asked to complete all assignments from this week.
Feb. 24, 2014
The document provides notes and a review for an upcoming math test on multiplying and dividing monomials. It includes the following key points:
- Students should review Khan Academy notes, scientific notation notes, and classwork notes to prepare for the test.
- The warm-up and classwork for the day will review topics that will be on the test, and students should ask questions if unsure how to solve problems.
- The test review covers simplifying expressions with negative exponents, multiplying and dividing monomials, and examples of problems that may appear from previous tests.
March 13, 2014
1. The document provides a warm-up, review, and homework schedule for a math class. It includes 5 practice problems for an upcoming test similar to the test questions.
2. It also reviews binomial sign rules and special binomial products that will be important for factoring, including examples of perfect square trinomials and differences of squares.
3. Students are instructed to write down the special products information for future use and told they will need to recognize the products in both factored and expanded forms.
October. 23, 2014
The document contains math problems involving opposites, reciprocals, solving equations, and multiplying and dividing numbers. It asks the reader to identify two numbers with different signs but the same distance from zero, translate and solve an equation for a variable where a number plus seven is multiplied by four and equals eighty, take the opposite of a fraction and multiply the reciprocal of a negative fraction, and solve an equation for a variable where three times a times x minus b equals d minus four times c times x. It also contains problems involving writing a decimal as a reciprocal, dividing a fraction by an integer, and multiplying integers.
May 14, 2014
The document provides an agenda for a math class that includes reviewing for an upcoming test on radical operations, learning about distance and midpoint formulas, working on Khan Academy lessons on radical equations and the Pythagorean theorem, and reviewing graphing concepts like quadrants, the origin, and ordering of x- and y-coordinates. Examples are given for using the distance formula to find the distance between points on a graph.
March 12, 2014
This document provides an agenda for a math class that includes reviewing polynomial operations such as adding, subtracting, multiplying and dividing polynomials. It includes examples of simplifying polynomial expressions using these operations and identifying terms and degrees. Students are reminded of the Khan Academy for additional practice. The class work will involve simplifying polynomial expressions using the different operations and identifying patterns in polynomials.
November 24, 2014
This document contains a summary of topics and practice problems for an upcoming inequalities test. It lists the topics to be covered as compound inequalities, absolute value inequalities, and inequality word problems. It then provides examples of several types of inequality problems worked out step-by-step including compound, absolute value, and multi-step problems involving addition, subtraction, multiplication, and division.
October 9, 2014
This document provides a daily schedule and announcements for a class. It includes the following topics for today: equations with distribution and variables on both sides, Khan Academy topic questions, and preparing for tomorrow's test. It also lists announcements about bringing a calculator for the test, no new Khan Academy topics this week, and deadlines to complete topics from previous weeks. The rest of the document provides warm-up questions on solving different types of equations, including multi-step, literal, and fractional equations.
Viewers also liked (19)
Similar to Feb. 4, 2014
March 29, 2016
The document provides examples for solving systems of equations through various methods like elimination, substitution, and word problems. It demonstrates setting up systems as equations based on information provided, choosing an elimination method by adding or multiplying equations, isolating variables, substituting values, and checking solutions. Word problems are converted to systems of equations and then solved to find unknown variable values.
January 31, 2014
The document outlines the agenda for today which includes a warm-up on systems of equations, reviewing different methods for solving systems of equations like graphing, elimination by addition/subtraction, elimination by multiplying, and substitution. It also provides examples of solving systems of equations using each of these methods and reminds students that Monday will be a review for Tuesday's test and to leave their notebooks before leaving for the day.
February 13, 2015
1. The document outlines the day's math lesson which includes reviewing systems of equations solutions, solving 3x3 systems, and completing yesterday's class work.
2. It provides examples and steps for solving systems of equations by graphing, elimination, and substitution. Equations are presented in standard form and slope-intercept form.
3. Solving 3x3 systems is discussed, noting they cannot be graphed since they exist in three dimensions. The substitution method is demonstrated through an example.
January 29, 2014
Let x = the smaller number
y = the larger number
Then: x + y = 52 (the sum is 52)
y = 4x + 2 (the larger is 4 times the smaller plus 2)
Substitute the second equation into the first:
x + (4x + 2) = 52
5x + 2 = 52
5x = 50
x = 10
y = 4(10) + 2 = 42
The numbers are 10 and 42.
Systems of linear equations
The document discusses methods for solving systems of linear equations in two variables, including graphing, elimination, and substitution. It provides examples of using each method to solve systems and determine if they have one solution, no solution, or infinitely many solutions. Key points covered are the three possible outcomes when graphing systems, the steps for the elimination and substitution methods, and how to determine the solution set.
February 18, 2015
The document provides instructions for solving different types of systems of equations through various elimination and substitution methods. It includes examples of systems of equations to solve using addition/subtraction, multiplication, and substitution techniques. It also provides instructions for solving systems of inequalities by graphing and shading the solution regions. Finally, it notes some changes made to the assigned class work problems.
Linear equations
This document provides an overview of linear equations for 8th grade algebra. It defines linear equations as having a constant rate of change. For one variable linear equations, it discusses identifying the different types of solutions (conditional, identity, contradiction) and strategies for solving (isolating the variable). For two variable linear equations, it discusses writing the equation in slope-intercept form, graphing, and determining if an ordered pair is a solution. It then covers systems of linear equations, identifying the different types of systems (independent, inconsistent, dependent) and strategies for solving them (graphing, substitution, elimination).
M1 L5 Remediation Notes
This document discusses solving systems of equations and inequalities through three main methods: graphing, substitution, and elimination. It provides examples of each method. For graphing systems, it explains the three possibilities for the graphs: consistent systems with one solution where the lines intersect, inconsistent systems with no solution where the lines are parallel, and dependent systems with infinite solutions where the lines coincide. It then works through examples of using substitution and elimination to solve systems algebraically. [/SUMMARY]
March 28, 2016
The document provides information about assignments and tests for today and upcoming dates. It includes notes about 4th quarter grade trackers, make-up tests during lunch, systems of equations lessons for some periods today and tomorrow, and distributing worksheets. The document also contains math content on solving systems of equations by graphing, substitution, and elimination.
Theory of Equation
1. The document provides an overview of the key concepts in the Theory of Equations unit, including types of equations, methods for solving different types of equations, and properties of roots.
2. It discusses linear equations, simultaneous equations, quadratic equations and their solving methods like elimination, substitution, and factorization.
3. Examples of equation problems from commercial applications are also presented, involving linear, simultaneous and quadratic equations. Worked examples and practice problems are provided for each topic.
Solving systems of Equations by Elimination
The document provides steps for solving systems of equations using the elimination method with addition and subtraction:
1) Put both equations in standard form.
2) Determine which variable to eliminate by finding terms with the same coefficients.
3) Add or subtract the equations to eliminate the chosen variable.
4) Substitute values back into one equation to find the other variable.
5) Check that the solution satisfies both original equations.
January18
The document provides information about solving systems of linear equations through three main methods: graphing, elimination by addition, and elimination by multiplication. It includes examples of using each method to solve systems with steps shown for substitution and verification of solutions. Practice problems are presented for students to determine the number of solutions from graphs of systems and to solve systems using the elimination methods.
Solve By Elimination
The document provides steps for solving a system of equations using the elimination method with addition and subtraction. The key steps are: 1) Put both equations in standard form, 2) Determine which variable to eliminate by finding terms with the same coefficients, 3) Add or subtract the equations to eliminate the chosen variable, 4) Substitute the solved variable back into one equation to find the other, and 5) Check the solution by substituting the values into both original equations. Examples are provided to demonstrate applying these steps to solve systems of equations algebraically.
June 4, 2014
This document provides a review for an upcoming math test covering several topics:
- Review of addition, subtraction, equations, and an introduction to complex fractions
- Sample problems are provided to review solving quadratic equations algebraically and graphically, as well as rational equations
- Instructions are given for tomorrow's test and how current grades will be calculated, with a proposal that students can pass the quarter by scoring a minimum of 75% on the remaining tests.
November 3, 2014
- The document discusses an upcoming math final exam and provides examples to review rational equations, expressions with fractions, and formulas.
- Topics to review for the final exam include translations, order of operations, integers, and simplifying expressions. Example problems are provided to work through.
- Additional examples cover solving equations with variables on both sides, working with fractional equations, and operations with fractions and decimals such as adding, subtracting, multiplying, and dividing.
February 12, 2015
The document provides information about the following:
1. Today's classwork includes make up tests, completing classwork, and solving systems of equations through elimination, substitution, and word problems.
2. A question is asked about having an extraordinary fear of Friday the 13th, along with definitions of terms in the phobia's name.
3. Examples are shown of determining if an ordered pair is a solution to a given system of equations through substitution.
linear equation system with 2 and 3 variables
The document discusses linear equation systems with 2 and 3 variables. It provides examples of linear equations with 1, 2, and 3 variables. There are 4 methods to solve a system of 2 linear equations: substitution, elimination, elimination-substitution, and graphing. Graphing involves drawing the lines represented by each equation and finding their point of intersection. For 3 variables, one variable is eliminated to obtain 2 equations, which are then solved to find the values for the remaining 2 variables. These values are then substituted back into one of the original equations to solve for the eliminated variable.
Solving systems of Linear Equations
There are three possible solutions to a system of linear equations in two variables:
One solution: the graphs intersect at a single point, giving the solution coordinates.
No solution: the graphs are parallel lines, making the system inconsistent.
Infinitely many solutions: the graphs are the same line, making the equations dependent.
The substitution method for solving systems involves: 1) solving one equation for a variable, 2) substituting into the other equation, 3) solving the new equation, and 4) back-substituting to find the remaining variable.
January 29 30
The document provides practice problems on simplifying monomial expressions and dividing monomials. It begins with examples of dividing monomials using the property that when dividing powers with the same base, you subtract the exponents. It then provides practice problems for students to divide monomial expressions and simplify expressions using exponent properties. Sample problems are worked through step-by-step as examples.
Lecture 6.1 6.2 bt
The document outlines the agenda and schedule for a math class. It includes collecting projects, returning exams, homework due dates, and topics to be covered from sections 6.1, 6.2. Exam dates are provided for Exam 5 on April 1st and Exam 6 on April 27th, with the final exam on May 4th. Methods for solving systems of linear equations are reviewed, including graphing, substitution, and elimination methods. Examples are worked through for each method. Classwork and homework assignments are listed at the end.
Similar to Feb. 4, 2014 (20)
More from khyps13
August 23, 2016
The document provides classwork and practice problems related to algebraic expressions and one-step equations. New vocabulary terms introduced are coefficient and like terms. Examples are given of adding and subtracting like terms. There are also practice problems for translating expressions, solving one-step equations, and word problems involving algebraic relationships between variables.
August 22, 2016
This document provides instructions and examples for students on organizing their math notebooks. It includes examples of how to categorize different math concepts like properties, formulas, and vocabulary in the resource section. It also provides warm-up problems covering large and small numbers. Students are instructed to complete homework assignment 1.1 by the due date of August 23, 2016. They are also given examples of translating expressions and equations.
August 19, 2016
This document contains a math lesson on large and small numbers, number relationships, and problem solving. It includes warm-up questions about numbers greater than or less than a trillion, billions, and millions. It also has questions about the width of a human hair, distance from Earth to the Sun, and how fast a hummingbird flaps its wings. The document provides answers to the warm-up questions and has an end of week review on number operations and translating word problems into algebraic equations. It concludes with an example of solving a multi-step word problem algebraically to find the individual weights of Mike, Bob, and Don.
August 18, 2016
This document contains reminders for school supplies needed by Monday, an overview of the 5 essential understandings of algebra, and 5 fraction practice questions. The 5 essential understandings are: 1) Algebra is a method for solving math problems, not the problems themselves. 2) Mathematics uses symbols as shortcuts. 3) Algebra rules come from natural number rules. 4) Algebra examines patterns and relationships between numbers. 5) Look for equality and use it to your advantage when solving problems. Mastering multiplication tables is also emphasized.
Aug 17, 2016
The document outlines the daily routine and learning process for a math class. It includes:
1. A warm-up with 4-5 review or new problems to introduce topics for the day. Class work is to be completed during class time and any unfinished work should be done outside of class.
2. New concepts are introduced through demonstration by the teacher, then practiced together through examples before students work independently.
3. Additional learning resources like online math sites are provided to support studying outside of class, since class time is limited to 60 minutes per day.
4. A short practice test is included covering translating expressions, order of operations, and fractions to gauge readiness.
Ultimate guide to systems of equations
i) The document discusses various methods for solving systems of linear equations, including graphing, substitution, elimination, and cross-multiplication.
ii) It also addresses solving systems that can be reduced to linear equations, such as transforming non-linear equations using substitution.
iii) Examples are provided to illustrate each method for deriving the solution of a system of equations.
March 31, 2016
The document discusses reviewing Khan Academy topics on systems of equations and solving 3x3 systems. It includes examples of solving systems of equations by elimination, addition, and substitution. Students will review methods, complete assignments, and take a five question quiz on solving systems of equations.
March 30, 2016
The document provides instructions for practicing Khan Academy topics on systems of equations word problems. It also reminds the student to make progress on homework 4.1-4.2 which is due on Friday for full credit. Examples are given for solving systems of equations by substitution and word problems involving jeans/shirts and movie tickets.
March 21, 2016
This document provides information about upcoming tests, review material, and math concepts to be covered in class. It includes:
- Details on making up remaining tests and reviewing for the final exam
- The 5 most missed questions from the last test
- Vocabulary and terms related to systems of equations to be covered
- Sample word problems and equations involving ratios, rates, percents, and lines to work on for the next class
April 5, 2016
The document provides examples and steps for solving systems of inequalities and linear equations. It discusses graphing a single inequality, the steps for graphing systems of inequalities, and provides an example of solving a two-variable linear system of inequalities. Sample problems include determining the number of hours until costs are the same for two plumbing companies and graphing the inequality y < 5x + 1.
April 4, 2016
This document contains a daily agenda and warm-up problems for math class including:
1) Solving systems of equations by graphing, substitution, and elimination. Example problems include solving for costs of flowers and costs of different internet providers over time.
2) Review of fractions, inequalities, and solving multi-step equations.
3) An example of solving a 3x3 system of equations by eliminating a variable and substituting values.
4) Warm-up questions ask students to write and solve systems of equations modeling real-world scenarios like costs of soccer equipment and costs of fitness clubs over time.
April 6, 2016
The document provides a review of topics related to solving systems of equations and inequalities including:
1) There are two methods for solving systems - elimination or substitution. An example problem is worked through using elimination.
2) When graphing systems of inequalities, each line must be drawn and labeled as above, below, or dashed before moving to the next line.
3) Word problems can be modeled with systems and solved, such as determining the number of chickens and pigs given the total number of legs.
April 1, 2016
This document contains examples of solving systems of equations word problems. It begins with a warm-up problem about a math test worth a total of 63 points made up of 2-point and 3-point problems. Then it provides steps for solving systems of equations, including labeling variables, writing equations, solving, and checking. Finally, it applies these steps to two word problems, one about movie tickets and one about flowers for Valentine's Day.
February 17 2015
The document provides instruction on calculating and interpreting slope. It defines slope as the ratio of rise over run between two points on a line. It gives the formula for calculating slope as the change in y over the change in x between two points. Several examples are worked out step-by-step to demonstrate calculating slope from graphs and point pairs. Key concepts covered include identifying horizontal and vertical lines that have slopes of 0 and undefined respectively.
February 18 2016
The document discusses various formulas used to represent lines in the coordinate plane, including:
- Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
- Point-slope form: y – y1 = m(x – x1), where (x1, y1) is a known point on the line and m is the slope.
- Standard form: Ax + By = C, where A, B, and C are constants and A and B cannot both be 0.
It provides examples of writing equations of lines in different forms given information like the slope, a point, or the graph of the line. Converting between
February 16 2016
The document provides information about an upcoming test on coordinate planes and linear functions. It includes:
- A review of topics to be covered on the test like functions, ordered pairs, slope of a line, and standard form of a line.
- Examples of problems about domain and range, graphing lines, finding intercepts, and interpreting graphs.
- Instructions to have materials like graph paper and a calculator ready for working through sample problems.
- A reminder that attempting all problems is better than leaving them blank on the test.
February 9 2016
The document outlines an agenda for a math class that includes a warm-up on missed test questions, learning about functions and their domains and ranges, using the vertical line test to determine if a relation is a function, and interpreting graphs. It provides examples of mapping relations to check if they are functions and using the vertical line test. Students are given practice problems to determine if relations are functions and to graph relations and use the vertical line test.
February 10 2016
This document provides instruction on determining the domain and range of functions, identifying functions using mapping and the vertical line test, and interpreting graphs. It includes examples of determining domain and range for various functions defined by equations. Warm-up questions are provided to have students plot points and draw lines from equations. Students are reminded that their class work CW 3.4 is due for full credit.
February 8 2016
The document provides test results and topics for a Khan Academy session on February 14th. It includes the following information:
- Class averages on Test #3 for different periods ranging from 37-58%
- The 5 most missed questions on Test #2 and the percentages of students answering correctly
- A warm-up question about the direction of a bus
- Details and a question about populations and percentages for a hypothetical club
- Definitions of linear equations and coordinate plane quadrants
February 11 2016
The document provides instruction on linear functions and how to find the x-intercept and y-intercept of a linear equation. It discusses writing linear equations in function notation as f(x), defines the x-intercept as where the graph crosses the x-axis (y = 0) and the y-intercept as where it crosses the y-axis (x = 0). It gives the formula for linear equations in standard form and shows how to set x = 0 and y = 0 to find the intercepts. Examples are worked out, showing how to graph the line based on the intercepts. Classwork assignments are noted at the end.
More from khyps13 (20)
Recently uploaded
Mind map of terminologies used in context of Generative AI
Mind map of common terms used in context of Generative AI.
Climate Impact of Software Testing at Nordic Testing Days
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
“Building and Scaling AI Applications with the Nx AI Manager,” a Presentation...
“Building and Scaling AI Applications with the Nx AI Manager,” a Presentation...Edge AI and Vision Alliance
For the full video of this presentation, please visit: https://www.edge-ai-vision.com/2024/06/building-and-scaling-ai-applications-with-the-nx-ai-manager-a-presentation-from-network-optix/
Robin van Emden, Senior Director of Data Science at Network Optix, presents the “Building and Scaling AI Applications with the Nx AI Manager,” tutorial at the May 2024 Embedded Vision Summit.
In this presentation, van Emden covers the basics of scaling edge AI solutions using the Nx tool kit. He emphasizes the process of developing AI models and deploying them globally. He also showcases the conversion of AI models and the creation of effective edge AI pipelines, with a focus on pre-processing, model conversion, selecting the appropriate inference engine for the target hardware and post-processing.
van Emden shows how Nx can simplify the developer’s life and facilitate a rapid transition from concept to production-ready applications.He provides valuable insights into developing scalable and efficient edge AI solutions, with a strong focus on practical implementation.20240609 QFM020 Irresponsible AI Reading List May 2024
Everything I found interesting about the irresponsible use of machine intelligence in May 2024
Building Production Ready Search Pipelines with Spark and Milvus
Spark is the widely used ETL tool for processing, indexing and ingesting data to serving stack for search. Milvus is the production-ready open-source vector database. In this talk we will show how to use Spark to process unstructured data to extract vector representations, and push the vectors to Milvus vector database for search serving.
Infrastructure Challenges in Scaling RAG with Custom AI models
Building Retrieval-Augmented Generation (RAG) systems with open-source and custom AI models is a complex task. This talk explores the challenges in productionizing RAG systems, including retrieval performance, response synthesis, and evaluation. We’ll discuss how to leverage open-source models like text embeddings, language models, and custom fine-tuned models to enhance RAG performance. Additionally, we’ll cover how BentoML can help orchestrate and scale these AI components efficiently, ensuring seamless deployment and management of RAG systems in the cloud.
Your One-Stop Shop for Python Success: Top 10 US Python Development Providers
Simplify your search for a reliable Python development partner! This list presents the top 10 trusted US providers offering comprehensive Python development services, ensuring your project's success from conception to completion.
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Discover how MongoDB Atlas and vector search technology can revolutionize your application's search capabilities. This comprehensive presentation covers:
* What is Vector Search?
* Importance and benefits of vector search
* Practical use cases across various industries
* Step-by-step implementation guide
* Live demos with code snippets
* Enhancing LLM capabilities with vector search
* Best practices and optimization strategies
Perfect for developers, AI enthusiasts, and tech leaders. Learn how to leverage MongoDB Atlas to deliver highly relevant, context-aware search results, transforming your data retrieval process. Stay ahead in tech innovation and maximize the potential of your applications.
#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
Columbus Data & Analytics Wednesdays - June 2024
Columbus Data & Analytics Wednesdays, June 2024 with Maria Copot 20
CAKE: Sharing Slices of Confidential Data on Blockchain
Presented at the CAiSE 2024 Forum, Intelligent Information Systems, June 6th, Limassol, Cyprus.
Synopsis: Cooperative information systems typically involve various entities in a collaborative process within a distributed environment. Blockchain technology offers a mechanism for automating such processes, even when only partial trust exists among participants. The data stored on the blockchain is replicated across all nodes in the network, ensuring accessibility to all participants. While this aspect facilitates traceability, integrity, and persistence, it poses challenges for adopting public blockchains in enterprise settings due to confidentiality issues. In this paper, we present a software tool named Control Access via Key Encryption (CAKE), designed to ensure data confidentiality in scenarios involving public blockchains. After outlining its core components and functionalities, we showcase the application of CAKE in the context of a real-world cyber-security project within the logistics domain.
Paper: https://doi.org/10.1007/978-3-031-61000-4_16
Microsoft - Power Platform_G.Aspiotis.pdf
Revolutionizing Application Development
with AI-powered low-code, presentation by George Aspiotis, Sr. Partner Development Manager, Microsoft
Cosa hanno in comune un mattoncino Lego e la backdoor XZ?
ABSTRACT: A prima vista, un mattoncino Lego e la backdoor XZ potrebbero avere in comune il fatto di essere entrambi blocchi di costruzione, o dipendenze di progetti creativi e software. La realtà è che un mattoncino Lego e il caso della backdoor XZ hanno molto di più di tutto ciò in comune.
Partecipate alla presentazione per immergervi in una storia di interoperabilità, standard e formati aperti, per poi discutere del ruolo importante che i contributori hanno in una comunità open source sostenibile.
BIO: Sostenitrice del software libero e dei formati standard e aperti. È stata un membro attivo dei progetti Fedora e openSUSE e ha co-fondato l'Associazione LibreItalia dove è stata coinvolta in diversi eventi, migrazioni e formazione relativi a LibreOffice. In precedenza ha lavorato a migrazioni e corsi di formazione su LibreOffice per diverse amministrazioni pubbliche e privati. Da gennaio 2020 lavora in SUSE come Software Release Engineer per Uyuni e SUSE Manager e quando non segue la sua passione per i computer e per Geeko coltiva la sua curiosità per l'astronomia (da cui deriva il suo nickname deneb_alpha).
Full-RAG: A modern architecture for hyper-personalization
Mike Del Balso, CEO & Co-Founder at Tecton, presents "Full RAG," a novel approach to AI recommendation systems, aiming to push beyond the limitations of traditional models through a deep integration of contextual insights and real-time data, leveraging the Retrieval-Augmented Generation architecture. This talk will outline Full RAG's potential to significantly enhance personalization, address engineering challenges such as data management and model training, and introduce data enrichment with reranking as a key solution. Attendees will gain crucial insights into the importance of hyperpersonalization in AI, the capabilities of Full RAG for advanced personalization, and strategies for managing complex data integrations for deploying cutting-edge AI solutions.
June Patch Tuesday
Ivanti’s Patch Tuesday breakdown goes beyond patching your applications and brings you the intelligence and guidance needed to prioritize where to focus your attention first. Catch early analysis on our Ivanti blog, then join industry expert Chris Goettl for the Patch Tuesday Webinar Event. There we’ll do a deep dive into each of the bulletins and give guidance on the risks associated with the newly-identified vulnerabilities.
Uni Systems Copilot event_05062024_C.Vlachos.pdf
Unlocking Productivity: Leveraging the Potential of Copilot in Microsoft 365, a presentation by Christoforos Vlachos, Senior Solutions Manager – Modern Workplace, Uni Systems
Things to Consider When Choosing a Website Developer for your Website | FODUU
Choosing the right website developer is crucial for your business. This article covers essential factors to consider, including experience, portfolio, technical skills, communication, pricing, reputation & reviews, cost and budget considerations and post-launch support. Make an informed decision to ensure your website meets your business goals.
20240605 QFM017 Machine Intelligence Reading List May 2024
Everything I found interesting about machines behaving intelligently during May 2024
Programming Foundation Models with DSPy - Meetup Slides
Prompting language models is hard, while programming language models is easy. In this talk, I will discuss the state-of-the-art framework DSPy for programming foundation models with its powerful optimizers and runtime constraint system.
How to Get CNIC Information System with Paksim Ga.pptx
Pakdata Cf is a groundbreaking system designed to streamline and facilitate access to CNIC information. This innovative platform leverages advanced technology to provide users with efficient and secure access to their CNIC details.
Recently uploaded (20)
Mind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AI
Climate Impact of Software Testing at Nordic Testing Days
Climate Impact of Software Testing at Nordic Testing Days
“Building and Scaling AI Applications with the Nx AI Manager,” a Presentation...
“Building and Scaling AI Applications with the Nx AI Manager,” a Presentation...
20240609 QFM020 Irresponsible AI Reading List May 2024
20240609 QFM020 Irresponsible AI Reading List May 2024
Building Production Ready Search Pipelines with Spark and Milvus
Building Production Ready Search Pipelines with Spark and Milvus
Infrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI models
Your One-Stop Shop for Python Success: Top 10 US Python Development Providers
Your One-Stop Shop for Python Success: Top 10 US Python Development Providers
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdf
CAKE: Sharing Slices of Confidential Data on Blockchain
CAKE: Sharing Slices of Confidential Data on Blockchain
Cosa hanno in comune un mattoncino Lego e la backdoor XZ?
Cosa hanno in comune un mattoncino Lego e la backdoor XZ?
Full-RAG: A modern architecture for hyper-personalization
Full-RAG: A modern architecture for hyper-personalization
Things to Consider When Choosing a Website Developer for your Website | FODUU
Things to Consider When Choosing a Website Developer for your Website | FODUU
20240605 QFM017 Machine Intelligence Reading List May 2024
20240605 QFM017 Machine Intelligence Reading List May 2024
Programming Foundation Models with DSPy - Meetup Slides
Programming Foundation Models with DSPy - Meetup Slides
How to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptx
Feb. 4, 2014
- 1. February 4, 2014 Today: Review for test and systems of equations < 20 min Test: Inequalities & Lines
- 2. Notes: new people—take the test, do the best you can Write your name on front for now. codes to come Alt.Khan from last week (inequalities) is here. Due on or before next Monday feb. 10 On-line Khan: You can finish last week’s topics by this Sunday for full credit. Pencil only for test, ask if you are not sure of your code. Take 3 minutes to get ready, clear your desk except for scratch paper.
- 3. Inequalities 24x + 2y < - 3 y > -x y< 4 x<3
- 4. Parallel & Perpendicular Lines The equations of two lines are given. Determine the number of solutions. A) None B) One C) Two D) Three E) Infinite Since the lines are not parallel (none), nor are they the same line (infinite), they will, at some point cross. The answer is..
- 5. Review: Systems of Equations (3) Solve the systems of equations by graphing 1 = 1+0 2 + ( + 0) 1 = 3 (2,1) Step 1: Put both equations in slope - intercept form. Step 2: Graph both equations on the same coordinate plane. Step 3: Plot the point where the graphs intersect. Step 4: Check to make sure your solution makes both equations true.
- 6. Review: Systems of Equations (3) Solve the systems of equations by elimination Elimination is easiest when the equations are in standard form. 1: Put the equations in Standard Form. Step 2: Determine which variable to eliminate. Step 3: Add or subtract the equations. Step 4: Plug back in to find the other variable. Step 5: Check your solution. Standard Form: Ax + By = C Look for variables that have the same coefficient. Solve for the variable. Substitute the value of the variable into the equation. Substitute your ordered pair into BOTH equations.
- 7. Review: Systems of Equations (2) 2x + 7y = 31 5x - 7y = - 45 7x + 0 = -14 x = -2 Like variables must be lined under each other. THEN----
- 8. Review: Systems of Equations (2) 2X + 7Y = 31 2(-2) + 7y = 31 -4 + 7y = 31 Substitute your 4 4 answer into either original equation and solve for the second variable. 7y = 35; y = 5 Solution (-2, 5) Now check our answers in both equations---
- 9. Review: Systems of Equations (2) 2x + 7y = 31 2(-2) + 7(5) = 31 -4 + 35 = 31 31 = 31 5x – 7y = - 45 5(-2) - 7(5) = - 45 -10 - 35 = - 45 - 45 =- 45
- 10. Review: Systems of Equations (1) And Finally..... A shopper bought two pairs of gloves and four hats for $43.00. Her friend bought two pairs of gloves and two hats for $30.00. What is the price of each item? Use ‘g’ for gloves and ‘h’ for hats. Equation 1: Equation 2: 2g + 4h = $42.00 2g + 2h = $30.00 Hats are $6.00 each Plug both values in 0g + 2h = $12.00 and check for 2g + 24 = $42.00 equality. 2g = $18.00; g = $9