March 12 Forms Of Lines
•
0 likes•283 views
There are three forms of lines: slope-intercept form (y=mx+b), standard form (ax+by+c=0), and neither of the above. Slope-intercept form provides the slope and y-intercept in a simple way. Standard form writes the line as a polynomial with everything on one side of the equation and x positive. Standard form can be found by converting slope-intercept form or by knowing two points that the line passes through.
Report
Share
Report
Share
Download to read offline
Recommended
January 9, 2014
The document provides information about linear equations and graphs:
- It defines the slope formula for finding the slope between two points on a line.
- It explains the slope-intercept form of a linear equation where y=mx+b, with m being the slope and b being the y-intercept.
- It gives examples of writing equations in slope-intercept form and graphing lines from their equations.
- It discusses other forms like point-slope form and how to write equations of lines given characteristics like a point and slope.
- It defines parallel and perpendicular lines based on their slopes being equal or negative reciprocals, respectively.
คาบ2 2
The document provides instructions for writing and graphing linear equations in slope-intercept form (y = mx + b). It defines key terms like slope (m), y-intercept (b), and parallel lines. Examples are given for writing equations from slope and y-intercept, graphing lines on a coordinate plane, and determining if two lines are parallel based on having the same slope. Key steps are outlined for graphing a line passing through a given point with a given slope.
Review Of Slope And The Slope Intercept Formula
The document reviews slope and the slope-intercept formula y=mx+b. It provides examples of finding the slope and y-intercept of various lines given their graphs or two points on the line. It also demonstrates how to write the equation of a line given two points and how to find the x- and y-intercepts of a line given its equation.
Linear equation
1) The document discusses linear equations in slope-intercept (y=mx+b) and standard (ax+by=c) form. It provides examples of writing equations from graphs and vice versa.
2) Transformations of linear and quadratic equations are introduced, where changing coefficients or adding constants changes the graph by shifting it up/down or left/right.
3) Examples of graphing quadratic equations y=x^2 and transformations y=x^2+c and y=kx^2+c are shown and described.
Writing the Equation of Line Given Two Points
This document provides instructions for writing the equation of a line given two points in both slope-intercept and standard form. It explains how to find the slope between two points and use the point-slope formula to write the equation in slope-intercept form. It then shows how to take that equation and rearrange it to write it in standard form, ensuring the leading coefficient is positive and there are no fractions or common factors. An example is worked through step-by-step to demonstrate these processes.
1554 linear equations in two variables
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Slope and y intercept
This document discusses slope, y-intercept, and how to find and graph linear equations. It defines slope as the ratio that describes a line's tilt and explains how to calculate slope using rise over run between two points on a line. It also discusses how to find the y-intercept, and then use slope and y-intercept to write the equation of a line in y=mx+b form. Examples are provided for finding slope from tables of values and graphing linear equations on a coordinate plane.
Ml lesson 4 7
The document discusses graphing lines using slope-intercept form. It provides examples of finding the slope and y-intercept of lines given their equations or points on the line. It also gives examples of writing equations of lines given the slope and y-intercept or a graph of the line. Finally, it discusses parallel lines and how they have the same slope.
Recommended
January 9, 2014
The document provides information about linear equations and graphs:
- It defines the slope formula for finding the slope between two points on a line.
- It explains the slope-intercept form of a linear equation where y=mx+b, with m being the slope and b being the y-intercept.
- It gives examples of writing equations in slope-intercept form and graphing lines from their equations.
- It discusses other forms like point-slope form and how to write equations of lines given characteristics like a point and slope.
- It defines parallel and perpendicular lines based on their slopes being equal or negative reciprocals, respectively.
คาบ2 2
The document provides instructions for writing and graphing linear equations in slope-intercept form (y = mx + b). It defines key terms like slope (m), y-intercept (b), and parallel lines. Examples are given for writing equations from slope and y-intercept, graphing lines on a coordinate plane, and determining if two lines are parallel based on having the same slope. Key steps are outlined for graphing a line passing through a given point with a given slope.
Review Of Slope And The Slope Intercept Formula
The document reviews slope and the slope-intercept formula y=mx+b. It provides examples of finding the slope and y-intercept of various lines given their graphs or two points on the line. It also demonstrates how to write the equation of a line given two points and how to find the x- and y-intercepts of a line given its equation.
Linear equation
1) The document discusses linear equations in slope-intercept (y=mx+b) and standard (ax+by=c) form. It provides examples of writing equations from graphs and vice versa.
2) Transformations of linear and quadratic equations are introduced, where changing coefficients or adding constants changes the graph by shifting it up/down or left/right.
3) Examples of graphing quadratic equations y=x^2 and transformations y=x^2+c and y=kx^2+c are shown and described.
Writing the Equation of Line Given Two Points
This document provides instructions for writing the equation of a line given two points in both slope-intercept and standard form. It explains how to find the slope between two points and use the point-slope formula to write the equation in slope-intercept form. It then shows how to take that equation and rearrange it to write it in standard form, ensuring the leading coefficient is positive and there are no fractions or common factors. An example is worked through step-by-step to demonstrate these processes.
1554 linear equations in two variables
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Slope and y intercept
This document discusses slope, y-intercept, and how to find and graph linear equations. It defines slope as the ratio that describes a line's tilt and explains how to calculate slope using rise over run between two points on a line. It also discusses how to find the y-intercept, and then use slope and y-intercept to write the equation of a line in y=mx+b form. Examples are provided for finding slope from tables of values and graphing linear equations on a coordinate plane.
Ml lesson 4 7
The document discusses graphing lines using slope-intercept form. It provides examples of finding the slope and y-intercept of lines given their equations or points on the line. It also gives examples of writing equations of lines given the slope and y-intercept or a graph of the line. Finally, it discusses parallel lines and how they have the same slope.
6 4 Point Slope Form
The document discusses point-slope form for writing linear equations. It provides examples of writing equations of lines given a point and slope, graphing lines from their point-slope form equations, and writing equations to model data in a table using point-slope form. Key steps covered are finding the slope between two points and using one point and the slope to write the equation in point-slope form.
Week 1 discussion : Systems of linear equations
Read the explanation in each lesson carefully, then study the examples given before
doing the exercises.
5.5 Point Slope and Standard Form
This document provides instructions for students to complete algebra warm up problems involving graphing lines from equations. It outlines three methods for graphing lines: using the slope and y-intercept, using a T-chart, and manipulating equations into slope-intercept form. Students are informed they will be tested on using both the slope-intercept method and the T-chart method for graphing lines from equations. They are also told they will need to learn how to manipulate equations in standard form and point-slope form into slope-intercept form.
Equation Of A Line
This document discusses different methods for finding the equation of a line, including:
1) Given the slope and y-intercept
2) Using a graph
3) Given a point and the slope
4) Given two points
It provides examples of how to write the line equation using each method.
Module Four Lesson 2 Remediation Notes - Slope intercept form
Slope-intercept form is represented by the equation y=mx+b, where m is the slope and b is the y-intercept. There are three methods to find the slope: rise over run, change in y over change in x, and point-slope formula. The slope tells the rate of change, while the y-intercept is the initial value when x=0. To graph a line in slope-intercept form, you plot the y-intercept and then use the slope to trace successive points on the line by calculating the rise over run at each interval. Word problems can be modeled using this form by identifying the independent and dependent variables and finding their relationship through calculating slope from ordered pairs of known values.
Slopeinterceptform
Slope-intercept form is represented by the equation y=mx+b, where m is the slope and b is the y-intercept. There are three methods to find the slope: rise over run, change in y over change in x, and point-slope formula. The slope tells the rate of change, while the y-intercept is the initial value when x=0. To graph a line in slope-intercept form, you plot the y-intercept and then use the slope to trace successive points on the line by calculating the rise over run at each interval of x. Word problems can be modeled using this form by identifying the independent and dependent variables and finding their relationship through calculating slope from ordered pairs of known values.
Writing Equations of a Line
1) The document discusses various forms of equations for lines, including slope-intercept form, standard form, and point-slope form. It provides definitions and examples of writing equations of lines given the slope and y-intercept or given two points on the line.
2) Key concepts covered include writing the equation of a line given its slope m and y-intercept b using slope-intercept form y=mx+b, or given slope m and a point (x1,y1) using point-slope form y-y1=m(x-x1).
3) Examples are provided for writing equations of lines using slope-intercept form when given slope and y-intercept, and using point-
TechMathI - Slope intercept form
This document discusses linear equations and slope-intercept form. It provides examples of:
1) Finding the slope and y-intercept of linear equations in slope-intercept form like y = 4x + 2.
2) Writing equations of lines given the slope and y-intercept, such as an equation with m = 3 and y-intercept of 7.
3) Finding the slope and y-intercept from two points on a line, then writing the equation in slope-intercept form.
Slopepowerpoint
Slope is a measure of steepness that represents the rate of change between two points on a line. It is commonly represented by the letter m. The formula for calculating slope given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1). Slope can be found from an equation by rewriting it in slope-intercept (y = mx + b) or standard (Ax + By = C) form and calculating m as -A/B. Slope can also be determined graphically by calculating the rise over run between two points.
6.2-3 Slope-Intercept and Standard forms
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
Slope Lesson
Slope is a measure used to describe the steepness of a line and can be positive, negative, or zero. It is calculated by taking the rise over the run between two points (x1, y1) and (x2, y2) using the formula m = (y2 - y1) / (x2 - x1). The letter m is used to represent slope. Examples are provided to demonstrate calculating slope between two points and to show what a slope of zero or undefined slope would mean.
1555 linear equations
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Finding slope
This is a ppt for learning how to calculate the slope of a line within a line graph. This ppt works for about a 8th t 9th grade level.
Equations of a Line
This document provides instruction on writing equations of lines using different forms: slope-intercept, point-slope, two-point, and intercept forms. Examples are given for writing equations of lines when given characteristics like slope, points, or intercepts. The last section presents an application example of using line equations to determine if two sets of bones found in an excavation site are parallel.
Writing the equations of lines(point slope form)
The document discusses writing equations of lines using point-slope form. It provides 4 examples of writing the equation of a line given a point and slope or two points. The examples show how to find the slope from two points using rise over run, then use the slope and a point to write the line equation in y=mx+b form. Key steps are distributing, isolating y, and combining like terms. Practice problems are given at the end to write equations of lines given a slope and point or two points.
The angle between two lines
The document contains solutions to problems involving finding equations of lines. It provides step-by-step workings showing how to:
1) Find the equation of a line parallel to another line and passing through a given point.
2) Find the equation of a line passing through a point and parallel to the line joining two other points.
3) Find the equation of a line passing through a point and perpendicular to another line.
Equation of the line
1. The document discusses various forms of linear equations including general, two-point, intercept, point-slope, and slope-intercept forms.
2. It provides examples of writing equations in each form given specific information like two points, an x-intercept and y-intercept, a point and slope, or just a slope and y-intercept.
3. Guided practice problems are included for writing equations parallel or perpendicular to a given line.
Linear Functions
Linear functions have a constant rate of change (slope) between any two points. The document provides methods for determining if a set of data represents a linear function, writing the equation of a line given various parameters like slope and intercepts, and properties of lines like parallel, perpendicular, vertical and horizontal lines. It also discusses how to find the equation of a perpendicular bisector by calculating the slope, midpoint and using the negative reciprocal slope in the point-slope form.
Equations of a line ppt
To write the equation of a line in slope-intercept form (y=mx+b) given the slope (m) and y-intercept (b):
1) Identify the y-intercept as the y-value when x=0
2) Plug the slope (m) and y-intercept (b) into the slope-intercept equation
3) To write the equation when given two points, use the point-slope formula: y-y1=m(x-x1), where m is the slope calculated from the two points.
Graph of linear function
Graph are often used to visualize the relationship between two variables. The graph of a linear function is always a straight line. There are two common approaches to graphing a linear function from its equation: 1) using the slope-intercept form which identifies the slope and y-intercept directly from the equation, and 2) using the x- and y-intercepts which involves substituting values of 0 for x and y to find the two points needed to draw the line. Both approaches are illustrated through examples of graphing different linear equations.
March 19 Quadratic Test Review
The function is a quadratic function in the form f(x) = ax2 + bx + c, with a = 2, b = -4, and c = -1. It has a vertex of (1, -3), an axis of symmetry at x = 1, a domain of all real numbers, and a range of [-3,∞). The y-intercept is -1 and the x-intercepts (roots) are 1 ± 0.5√6.
March 19 Trig Review
Trigonometry is used to determine the measures (sides and angles) of a right triangle. The document reviews three trigonometric functions: sine, cosine, and tangent. Sine relates an angle to the opposite side over the hypotenuse. Cosine relates an angle to the adjacent side over the hypotenuse. Tangent relates an angle to the opposite side over the adjacent side. An example problem is shown to find missing sides and angles of a right triangle when given one angle measure and the side opposite to it.
More Related Content
What's hot
6 4 Point Slope Form
The document discusses point-slope form for writing linear equations. It provides examples of writing equations of lines given a point and slope, graphing lines from their point-slope form equations, and writing equations to model data in a table using point-slope form. Key steps covered are finding the slope between two points and using one point and the slope to write the equation in point-slope form.
Week 1 discussion : Systems of linear equations
Read the explanation in each lesson carefully, then study the examples given before
doing the exercises.
5.5 Point Slope and Standard Form
This document provides instructions for students to complete algebra warm up problems involving graphing lines from equations. It outlines three methods for graphing lines: using the slope and y-intercept, using a T-chart, and manipulating equations into slope-intercept form. Students are informed they will be tested on using both the slope-intercept method and the T-chart method for graphing lines from equations. They are also told they will need to learn how to manipulate equations in standard form and point-slope form into slope-intercept form.
Equation Of A Line
This document discusses different methods for finding the equation of a line, including:
1) Given the slope and y-intercept
2) Using a graph
3) Given a point and the slope
4) Given two points
It provides examples of how to write the line equation using each method.
Module Four Lesson 2 Remediation Notes - Slope intercept form
Slope-intercept form is represented by the equation y=mx+b, where m is the slope and b is the y-intercept. There are three methods to find the slope: rise over run, change in y over change in x, and point-slope formula. The slope tells the rate of change, while the y-intercept is the initial value when x=0. To graph a line in slope-intercept form, you plot the y-intercept and then use the slope to trace successive points on the line by calculating the rise over run at each interval. Word problems can be modeled using this form by identifying the independent and dependent variables and finding their relationship through calculating slope from ordered pairs of known values.
Slopeinterceptform
Slope-intercept form is represented by the equation y=mx+b, where m is the slope and b is the y-intercept. There are three methods to find the slope: rise over run, change in y over change in x, and point-slope formula. The slope tells the rate of change, while the y-intercept is the initial value when x=0. To graph a line in slope-intercept form, you plot the y-intercept and then use the slope to trace successive points on the line by calculating the rise over run at each interval of x. Word problems can be modeled using this form by identifying the independent and dependent variables and finding their relationship through calculating slope from ordered pairs of known values.
Writing Equations of a Line
1) The document discusses various forms of equations for lines, including slope-intercept form, standard form, and point-slope form. It provides definitions and examples of writing equations of lines given the slope and y-intercept or given two points on the line.
2) Key concepts covered include writing the equation of a line given its slope m and y-intercept b using slope-intercept form y=mx+b, or given slope m and a point (x1,y1) using point-slope form y-y1=m(x-x1).
3) Examples are provided for writing equations of lines using slope-intercept form when given slope and y-intercept, and using point-
TechMathI - Slope intercept form
This document discusses linear equations and slope-intercept form. It provides examples of:
1) Finding the slope and y-intercept of linear equations in slope-intercept form like y = 4x + 2.
2) Writing equations of lines given the slope and y-intercept, such as an equation with m = 3 and y-intercept of 7.
3) Finding the slope and y-intercept from two points on a line, then writing the equation in slope-intercept form.
Slopepowerpoint
Slope is a measure of steepness that represents the rate of change between two points on a line. It is commonly represented by the letter m. The formula for calculating slope given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1). Slope can be found from an equation by rewriting it in slope-intercept (y = mx + b) or standard (Ax + By = C) form and calculating m as -A/B. Slope can also be determined graphically by calculating the rise over run between two points.
6.2-3 Slope-Intercept and Standard forms
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
Slope Lesson
Slope is a measure used to describe the steepness of a line and can be positive, negative, or zero. It is calculated by taking the rise over the run between two points (x1, y1) and (x2, y2) using the formula m = (y2 - y1) / (x2 - x1). The letter m is used to represent slope. Examples are provided to demonstrate calculating slope between two points and to show what a slope of zero or undefined slope would mean.
1555 linear equations
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Finding slope
This is a ppt for learning how to calculate the slope of a line within a line graph. This ppt works for about a 8th t 9th grade level.
Equations of a Line
This document provides instruction on writing equations of lines using different forms: slope-intercept, point-slope, two-point, and intercept forms. Examples are given for writing equations of lines when given characteristics like slope, points, or intercepts. The last section presents an application example of using line equations to determine if two sets of bones found in an excavation site are parallel.
Writing the equations of lines(point slope form)
The document discusses writing equations of lines using point-slope form. It provides 4 examples of writing the equation of a line given a point and slope or two points. The examples show how to find the slope from two points using rise over run, then use the slope and a point to write the line equation in y=mx+b form. Key steps are distributing, isolating y, and combining like terms. Practice problems are given at the end to write equations of lines given a slope and point or two points.
The angle between two lines
The document contains solutions to problems involving finding equations of lines. It provides step-by-step workings showing how to:
1) Find the equation of a line parallel to another line and passing through a given point.
2) Find the equation of a line passing through a point and parallel to the line joining two other points.
3) Find the equation of a line passing through a point and perpendicular to another line.
Equation of the line
1. The document discusses various forms of linear equations including general, two-point, intercept, point-slope, and slope-intercept forms.
2. It provides examples of writing equations in each form given specific information like two points, an x-intercept and y-intercept, a point and slope, or just a slope and y-intercept.
3. Guided practice problems are included for writing equations parallel or perpendicular to a given line.
Linear Functions
Linear functions have a constant rate of change (slope) between any two points. The document provides methods for determining if a set of data represents a linear function, writing the equation of a line given various parameters like slope and intercepts, and properties of lines like parallel, perpendicular, vertical and horizontal lines. It also discusses how to find the equation of a perpendicular bisector by calculating the slope, midpoint and using the negative reciprocal slope in the point-slope form.
Equations of a line ppt
To write the equation of a line in slope-intercept form (y=mx+b) given the slope (m) and y-intercept (b):
1) Identify the y-intercept as the y-value when x=0
2) Plug the slope (m) and y-intercept (b) into the slope-intercept equation
3) To write the equation when given two points, use the point-slope formula: y-y1=m(x-x1), where m is the slope calculated from the two points.
Graph of linear function
Graph are often used to visualize the relationship between two variables. The graph of a linear function is always a straight line. There are two common approaches to graphing a linear function from its equation: 1) using the slope-intercept form which identifies the slope and y-intercept directly from the equation, and 2) using the x- and y-intercepts which involves substituting values of 0 for x and y to find the two points needed to draw the line. Both approaches are illustrated through examples of graphing different linear equations.
What's hot (20)
Module Four Lesson 2 Remediation Notes - Slope intercept form
Module Four Lesson 2 Remediation Notes - Slope intercept form
More from ste ve
March 19 Quadratic Test Review
The function is a quadratic function in the form f(x) = ax2 + bx + c, with a = 2, b = -4, and c = -1. It has a vertex of (1, -3), an axis of symmetry at x = 1, a domain of all real numbers, and a range of [-3,∞). The y-intercept is -1 and the x-intercepts (roots) are 1 ± 0.5√6.
March 19 Trig Review
Trigonometry is used to determine the measures (sides and angles) of a right triangle. The document reviews three trigonometric functions: sine, cosine, and tangent. Sine relates an angle to the opposite side over the hypotenuse. Cosine relates an angle to the adjacent side over the hypotenuse. Tangent relates an angle to the opposite side over the adjacent side. An example problem is shown to find missing sides and angles of a right triangle when given one angle measure and the side opposite to it.
March 19 Trig With 2 Triangles
This document contains information about two triangles used to solve for the length of line BD. Triangle ABC has angles of 30, 42, and 50 degrees and triangle ACD has angles of 35, 56, and 36 degrees. The problem is asking to use the information provided to calculate the length of line CD.
March 17 Chequebook Recod
You start with $400 in your chequing account. On March 18 you deposit a $300 paycheck, bringing your balance to $700. On March 19 you write 4 cheques: cheque #22 for $45 to Manitoba Hydro, cheque #23 for $55 to the City of Winnipeg, cheque #24 for $200 to Visa, and cheque #25 for $50 to DMCI, reducing your balance to $350.
March 18 Reconciliation
Reconciling a bank statement involves comparing transaction records to the bank's statement to identify any differences. When reconciling, the reconciler finds transactions recorded by one party but not the other. By accounting for these differences in a reconciliation statement, the reconciler can ensure the final balances match and identify any potential errors made by either party. The process involves listing matching transactions, recording the initial balances, then adding deposits or subtracting withdrawals found in one record but not the other to make the final balances equal. If the balances do not match after reconciliation, an error has occurred that requires correction.
March 18 Radicals
This document discusses square roots and their properties. It provides examples of taking the square root of both sides of an equation to solve for the variable. It also shows combining like terms within square root expressions and then taking the square root of both sides to isolate the variable.
March 18 Withdrawal Slips
Withdrawal slips are records of when and how much money is taken out of a bank account. The document instructs the reader to fill out a sample withdrawal slip pretending to withdraw $100 from their account on the current date. The slip would document the pretend $100 withdrawal for record keeping purposes.
March 18 Compound Interest
The document discusses compound interest rates across three scenarios. In the first, investing $1000 at 8% interest compounded semi-annually for 4 years would yield more than the original $1000. In the second, Jim's Bank offering 6% interest compounded monthly on deposits over $2000 is a better choice than Steve's Bank offering 5% compounded weekly, if the money is left for 2 years. In the third, Peter buys a $500 laptop on a credit card with 17.5% interest compounded monthly but cannot pay for 6 months, making the real cost of the laptop more than $500.
March 17 Rule Of 72
The document discusses the rule of 72, which is a method for estimating how long it will take an investment to double in value at a given annual interest rate. It states that to estimate the number of years for an investment to double, one should divide 72 by the annual interest rate percentage. However, the document provides no further explanation or context regarding the rule of 72.
March 16 Compound Interest 2
The document discusses compound interest rates and calculations. It asks how much money would be earned from investing $1000 at 8% interest compounded semi-annually over 4 years. It also asks which bank would earn more interest over 2 years, between one offering 6% interest compounded monthly on deposits over $2000, and another offering 5% interest compounded weekly on the same size deposits.
March 12 Discriminant
The document discusses the discriminant of a quadratic equation and what the sign of the discriminant indicates about the number of roots. It provides an example quadratic equation of 4x^2 + 3x + 8 = 0. It then shows:
1) Calculating the discriminant of -119 which is negative, indicating there are no real roots.
2) A general explanation that a negative discriminant means no real roots, while a positive discriminant means there are two real roots.
3) When the discriminant is 0, there is exactly one real root.
March 11 Deposit Slips
This document provides instructions for completing deposit slips based on sample transactions. It describes that a deposit slip records money deposited into a bank account. It gives an example of Betty depositing two cheques for $30 and $40, as well as $40 in cash and $4 in coins. It also provides an example for Steve depositing three cheques for $35, $47, and $25.67 and taking $40 in cash from the deposit. The document aims to demonstrate how to fill out deposit slips.
March 9 Quadratic Formula
The quadratic formula provides a method to solve quadratic equations of the form ax^2 + bx + c = 0. It expresses the solutions for x in terms of the coefficients a, b, and c as x = (-b ± √(b^2 - 4ac))/2a. The document demonstrates applying the quadratic formula to solve the equation 7x^2 + 14x - 3 = 0, obtaining the two solutions x1 = 0.2 and x2 = -2.2.
March 9 Determing Equations
The document provides examples of determining the equation of a line given information about its slope and a point it passes through. It works through four examples, finding the equation of a line with slope 7 and y-intercept -4, slope -4/5 passing through (1,3), slope 2/3 passing through (8,1), and slope 1/9 passing through (-2,5). The examples demonstrate how to set up and solve systems of equations to determine the y-intercept and write the equation in y=mx+b form.
March 9 Determing Equations
The document provides examples of determining the equation of a line given information about its slope and a point it passes through. It works through four examples, finding the equation of a line with slope 7 and y-intercept -4, slope -4/5 passing through (1,3), slope 2/3 passing through (8,1), and slope 1/9 passing through (-2,5). The examples demonstrate how to set up and solve systems of equations to determine the y-intercept and write the equation in y=mx+b form.
March 9 Quadratic Formula
The quadratic formula provides a method to solve quadratic equations of the form ax^2 + bx + c = 0. It expresses the solutions for x in terms of the coefficients a, b, and c as x = (-b ± √(b^2 - 4ac))/2a. The document demonstrates applying the quadratic formula to solve the equation 7x^2 + 14x - 3 = 0, obtaining the two solutions x1 = 0.2 and x2 = -2.2.
March 9 Ex 12
This document appears to be an exercise labeled as number 12. No other context or details are provided about the nature or content of the exercise. The single word "Exercise 12" is the only information given in the document.
March 8 Compound Interest
The document explains compound interest using examples of borrowing $1000 at 8% interest for 1 year, and then not paying it back for additional years. It shows how the interest builds on itself each year, with the borrower paying interest on accumulated interest. A formula is provided to calculate the final amount for any principal, interest rate, number of compounding periods per year, and term of years. An example calculates the amount owed after 2 years at 6% interest compounded semi-annually.
Ambiguous Case1
The document discusses the sine and cosine laws for solving triangles. It provides examples of using these laws to calculate missing angles and sides of triangles when given certain information. However, one of the examples leads to two possible triangle solutions, showing that the information provided an ambiguous case with multiple valid options. The summary concludes that without more context, both triangle solutions are considered correct since the given information allows for more than one possibility.
March 4 Pay Raise
This document discusses pay raises and how to calculate new salaries after a percentage increase. It provides two examples: one where Joan received an 8% raise on her $1000 monthly salary, increasing it to $1080, and another where Steve's $45,000 annual salary was increased 15% to $51,750 after his raise. Percentage raises are commonly used to increase employee salaries over time based on a set percentage of their current pay.
More from ste ve (20)
Recently uploaded
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
Sudheer Mechineni, Head of Application Frameworks, Standard Chartered Bank
Discover how Standard Chartered Bank harnessed the power of Neo4j to transform complex data access challenges into a dynamic, scalable graph database solution. This keynote will cover their journey from initial adoption to deploying a fully automated, enterprise-grade causal cluster, highlighting key strategies for modelling organisational changes and ensuring robust disaster recovery. Learn how these innovations have not only enhanced Standard Chartered Bank’s data infrastructure but also positioned them as pioneers in the banking sector’s adoption of graph technology.
UiPath Test Automation using UiPath Test Suite series, part 5
Welcome to UiPath Test Automation using UiPath Test Suite series part 5. In this session, we will cover CI/CD with devops.
Topics covered:
CI/CD with in UiPath
End-to-end overview of CI/CD pipeline with Azure devops
Speaker:
Lyndsey Byblow, Test Suite Sales Engineer @ UiPath, Inc.
GraphSummit Singapore | Neo4j Product Vision & Roadmap - Q2 2024
Maruthi Prithivirajan, Head of ASEAN & IN Solution Architecture, Neo4j
Get an inside look at the latest Neo4j innovations that enable relationship-driven intelligence at scale. Learn more about the newest cloud integrations and product enhancements that make Neo4j an essential choice for developers building apps with interconnected data and generative AI.
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.
“I’m still / I’m still / Chaining from the Block”
“An Outlook of the Ongoing and Future Relationship between Blockchain Technologies and Process-aware Information Systems.” Invited talk at the joint workshop on Blockchain for Information Systems (BC4IS) and Blockchain for Trusted Data Sharing (B4TDS), co-located with with the 36th International Conference on Advanced Information Systems Engineering (CAiSE), 3 June 2024, Limassol, Cyprus.
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.
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
The choice of an operating system plays a pivotal role in shaping our computing experience. For decades, Microsoft's Windows has dominated the market, offering a familiar and widely adopted platform for personal and professional use. However, as technological advancements continue to push the boundaries of innovation, alternative operating systems have emerged, challenging the status quo and offering users a fresh perspective on computing.
One such alternative that has garnered significant attention and acclaim is Nitrux Linux 3.5.0, a sleek, powerful, and user-friendly Linux distribution that promises to redefine the way we interact with our devices. With its focus on performance, security, and customization, Nitrux Linux presents a compelling case for those seeking to break free from the constraints of proprietary software and embrace the freedom and flexibility of open-source computing.
Essentials of Automations: The Art of Triggers and Actions in FME
In this second installment of our Essentials of Automations webinar series, we’ll explore the landscape of triggers and actions, guiding you through the nuances of authoring and adapting workspaces for seamless automations. Gain an understanding of the full spectrum of triggers and actions available in FME, empowering you to enhance your workspaces for efficient automation.
We’ll kick things off by showcasing the most commonly used event-based triggers, introducing you to various automation workflows like manual triggers, schedules, directory watchers, and more. Plus, see how these elements play out in real scenarios.
Whether you’re tweaking your current setup or building from the ground up, this session will arm you with the tools and insights needed to transform your FME usage into a powerhouse of productivity. Join us to discover effective strategies that simplify complex processes, enhancing your productivity and transforming your data management practices with FME. Let’s turn complexity into clarity and make your workspaces work wonders!
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for life science domain, where you retriever information from biomedical knowledge graphs using LLMs to increase the accuracy and performance of generated answers
20240607 QFM018 Elixir Reading List May 2024
Everything I found interesting about the Elixir programming ecosystem in May 2024
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.
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).
20240609 QFM020 Irresponsible AI Reading List May 2024
Everything I found interesting about the irresponsible use of machine intelligence in May 2024
HCL Notes and Domino License Cost Reduction in the World of DLAU
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-and-domino-license-cost-reduction-in-the-world-of-dlau/
The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away
Driving Business Innovation: Latest Generative AI Advancements & Success Story
Are you ready to revolutionize how you handle data? Join us for a webinar where we’ll bring you up to speed with the latest advancements in Generative AI technology and discover how leveraging FME with tools from giants like Google Gemini, Amazon, and Microsoft OpenAI can supercharge your workflow efficiency.
During the hour, we’ll take you through:
Guest Speaker Segment with Hannah Barrington: Dive into the world of dynamic real estate marketing with Hannah, the Marketing Manager at Workspace Group. Hear firsthand how their team generates engaging descriptions for thousands of office units by integrating diverse data sources—from PDF floorplans to web pages—using FME transformers, like OpenAIVisionConnector and AnthropicVisionConnector. This use case will show you how GenAI can streamline content creation for marketing across the board.
Ollama Use Case: Learn how Scenario Specialist Dmitri Bagh has utilized Ollama within FME to input data, create custom models, and enhance security protocols. This segment will include demos to illustrate the full capabilities of FME in AI-driven processes.
Custom AI Models: Discover how to leverage FME to build personalized AI models using your data. Whether it’s populating a model with local data for added security or integrating public AI tools, find out how FME facilitates a versatile and secure approach to AI.
We’ll wrap up with a live Q&A session where you can engage with our experts on your specific use cases, and learn more about optimizing your data workflows with AI.
This webinar is ideal for professionals seeking to harness the power of AI within their data management systems while ensuring high levels of customization and security. Whether you're a novice or an expert, gain actionable insights and strategies to elevate your data processes. Join us to see how FME and AI can revolutionize how you work with data!
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.
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.
Recently uploaded (20)
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
GraphSummit Singapore | Graphing Success: Revolutionising Organisational Stru...
UiPath Test Automation using UiPath Test Suite series, part 5
UiPath Test Automation using UiPath Test Suite series, part 5
GraphSummit Singapore | Neo4j Product Vision & Roadmap - Q2 2024
GraphSummit Singapore | Neo4j Product Vision & Roadmap - Q2 2024
Infrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI models
Climate Impact of Software Testing at Nordic Testing Days
Climate Impact of Software Testing at Nordic Testing Days
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Essentials of Automations: The Art of Triggers and Actions in FME
Essentials of Automations: The Art of Triggers and Actions in FME
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracy
How to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptx
Cosa hanno in comune un mattoncino Lego e la backdoor XZ?
Cosa hanno in comune un mattoncino Lego e la backdoor XZ?
20240609 QFM020 Irresponsible AI Reading List May 2024
20240609 QFM020 Irresponsible AI Reading List May 2024
HCL Notes and Domino License Cost Reduction in the World of DLAU
HCL Notes and Domino License Cost Reduction in the World of DLAU
Driving Business Innovation: Latest Generative AI Advancements & Success Story
Driving Business Innovation: Latest Generative AI Advancements & Success Story
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slack
Full-RAG: A modern architecture for hyper-personalization
Full-RAG: A modern architecture for hyper-personalization
March 12 Forms Of Lines
- 2. Lines come in 3 forms 1) slope - intercept form y = mx + b 2) Standard Form ax + by + c = 0 3) neither of the above
- 3. Slope - Intercept Form is the most useful because it gives the most information in a simple manner y = mx + b m = slope b = y intercept
- 4. Standard Form is written as a polynomial, everything on one side of the equation, no fractions, and x positive.
- 5. Convert y = 4x + 5 to standard form 4x - y + 5 = 0
- 6. Convert y = -4/5x + 5 to standard form 4/5x + y - 5 = 0 4x + 5y -25 = 0
- 7. Find the equation of a line in standard form that passes through the following points (1,2) and (-4,5).