Factoring quadratics ex 5
•Download as PPTX, PDF•
0 likes•425 views
The document shows the step-by-step factorization of the polynomial 3x^2 - 8x - 3. It factors the expression into (3x + 1)(x - 3) by first finding the greatest common factor of -9, then determining the signs of the factors based on the leading coefficient, and finally dividing both factors by the leading coefficient of 3 to complete the factorization.
Report
Share
Report
Share
Recommended
11X1 T14 01 area under curves
The document discusses the concept of approximating the area under a curve using rectangles. It shows that as the width of the rectangles decreases, the approximation becomes more accurate. It then derives that the equation for the curve is equal to the derivative of the area function, and that the exact area under the curve between two points can be calculated as the integral of the function between those points.
Fileprocessing lec-7
This document discusses B-trees and algorithms for inserting and deleting keys from a B-tree. It explains that B-TREE-INSERT uses B-TREE-SPLIT-CHILD to guarantee recursion never descends to a full node. When the root becomes full during an insertion, it is split and a new root node is created, increasing the tree height by one. For deletion, it ensures a node does not become too small by potentially redistributing keys between nodes. Examples are provided to illustrate deleting keys from B-trees.
AA Section 5-7
This document discusses graphing inequalities in the coordinate plane. It begins with examples of graphing simple inequalities like x ≤ 3 and t > -4. It then defines half-planes and boundaries for inequalities. Examples are given for graphing linear inequalities like y < 3 and y ≥ 4/3x + 5, including using dashed vs solid boundary lines and shading regions appropriately. The document also discusses lattice points and includes an example of graphing all possible combinations of quarters and dimes that could equal $1.50 or less. It concludes with assigning homework problems.
Day 7 distributive property
The document provides information about the distributive property in mathematics. It includes examples of using the distributive property to simplify expressions by distributing multiplication over addition or subtraction. It also contains practice problems for students to solve using the distributive property and shows the steps to take. The overall purpose is to teach students how and when to use the distributive property to evaluate algebraic expressions.
Alegebra Powers Substitution
The document provides examples and step-by-step workings for evaluating algebraic expressions by substituting number values for variables. It demonstrates evaluating expressions including powers, integers, fractions, and evaluating expressions to find volumes. The examples show applying order of operations and substitution to simplify expressions down to a single numerical value.
Synthetic Division Notes
This document provides instruction on the method of synthetic division. It explains that synthetic division can be used to divide polynomials when the divisor is a first-degree (linear) polynomial. The steps of synthetic division are outlined, which involve writing the dividend in expanded standard polynomial form, then systematically "dropping" and multiplying coefficients to solve for the quotient polynomial. Examples are provided to demonstrate the process.
Tae
This document provides instructions for factoring binomial and trinomial expressions. It explains that factoring trinomials involves first finding the greatest common factor (GCF), and if the expression has a power of x greater than two after factoring the GCF, to move to another step. It also discusses using the quadratic formula to factor trinomials if none of the factor combinations are correct. The goal is to help the reader learn how to factor binomials and trinomials.
Calc 5.1a
The document discusses properties and definitions related to natural logarithmic functions:
1) It defines the natural logarithmic function as the antiderivative of 1/x, which is neither algebraic nor trigonometric.
2) It shows that the slope of the natural logarithmic function graph at different x-values corresponds to the reciprocal of those x-values.
3) It reminds that logarithmic expressions can be expanded using properties that apply to all logarithms, but sums and differences cannot be further expanded.
4) It emphasizes that when expanding logarithmic functions, the domain must be checked to ensure it is the same as the original function.
Recommended
11X1 T14 01 area under curves
The document discusses the concept of approximating the area under a curve using rectangles. It shows that as the width of the rectangles decreases, the approximation becomes more accurate. It then derives that the equation for the curve is equal to the derivative of the area function, and that the exact area under the curve between two points can be calculated as the integral of the function between those points.
Fileprocessing lec-7
This document discusses B-trees and algorithms for inserting and deleting keys from a B-tree. It explains that B-TREE-INSERT uses B-TREE-SPLIT-CHILD to guarantee recursion never descends to a full node. When the root becomes full during an insertion, it is split and a new root node is created, increasing the tree height by one. For deletion, it ensures a node does not become too small by potentially redistributing keys between nodes. Examples are provided to illustrate deleting keys from B-trees.
AA Section 5-7
This document discusses graphing inequalities in the coordinate plane. It begins with examples of graphing simple inequalities like x ≤ 3 and t > -4. It then defines half-planes and boundaries for inequalities. Examples are given for graphing linear inequalities like y < 3 and y ≥ 4/3x + 5, including using dashed vs solid boundary lines and shading regions appropriately. The document also discusses lattice points and includes an example of graphing all possible combinations of quarters and dimes that could equal $1.50 or less. It concludes with assigning homework problems.
Day 7 distributive property
The document provides information about the distributive property in mathematics. It includes examples of using the distributive property to simplify expressions by distributing multiplication over addition or subtraction. It also contains practice problems for students to solve using the distributive property and shows the steps to take. The overall purpose is to teach students how and when to use the distributive property to evaluate algebraic expressions.
Alegebra Powers Substitution
The document provides examples and step-by-step workings for evaluating algebraic expressions by substituting number values for variables. It demonstrates evaluating expressions including powers, integers, fractions, and evaluating expressions to find volumes. The examples show applying order of operations and substitution to simplify expressions down to a single numerical value.
Synthetic Division Notes
This document provides instruction on the method of synthetic division. It explains that synthetic division can be used to divide polynomials when the divisor is a first-degree (linear) polynomial. The steps of synthetic division are outlined, which involve writing the dividend in expanded standard polynomial form, then systematically "dropping" and multiplying coefficients to solve for the quotient polynomial. Examples are provided to demonstrate the process.
Tae
This document provides instructions for factoring binomial and trinomial expressions. It explains that factoring trinomials involves first finding the greatest common factor (GCF), and if the expression has a power of x greater than two after factoring the GCF, to move to another step. It also discusses using the quadratic formula to factor trinomials if none of the factor combinations are correct. The goal is to help the reader learn how to factor binomials and trinomials.
Calc 5.1a
The document discusses properties and definitions related to natural logarithmic functions:
1) It defines the natural logarithmic function as the antiderivative of 1/x, which is neither algebraic nor trigonometric.
2) It shows that the slope of the natural logarithmic function graph at different x-values corresponds to the reciprocal of those x-values.
3) It reminds that logarithmic expressions can be expanded using properties that apply to all logarithms, but sums and differences cannot be further expanded.
4) It emphasizes that when expanding logarithmic functions, the domain must be checked to ensure it is the same as the original function.
Quotient of polynomial using (Synthetic Division) and Zeros of Polynomial Fu...
This document discusses using synthetic division to find the quotient and remainder when dividing polynomials. It provides the step-by-step process for synthetic division, including examples of dividing polynomials where the divisor is of the form x + c and ax + c. The key steps are writing the coefficients of the dividend as the first row, taking the negative of the constant term of the divisor as the multiplier, bringing down terms and multiplying and adding sequentially until the last term. The numbers in the third row give the quotient polynomial. The document also discusses using factoring and setting each factor equal to 0 to find the zeros of a polynomial function.
Jan. 13 polynonial sketching
The document discusses how to sketch graphs of polynomial functions. It explains that for odd degree polynomials, the graph behavior is opposite on the left and right sides, while for even degree polynomials the behavior is similar on both sides. It provides examples of how the graphs of cubic, quartic and quintic polynomials will appear. It outlines steps for sketching a polynomial graph which include finding the y-intercept, roots, sign of the function over intervals, and then sketching the graph. An example problem is given to factor a polynomial and sketch its graph.
Rational number ppt
Here are the steps to find 5/7 + 3/7 using appropriate properties:
1) Find a common denominator for 5/7 and 3/7:
The common denominator is 7
2) Convert 5/7 and 3/7 to equivalent fractions with the common denominator of 7:
5/7 = 5/7
3/7 = 3/7
3) Add the numerators:
5/7 + 3/7 = 8/7
4) Simplify if possible:
8/7 cannot be simplified.
Therefore, 5/7 + 3/7 = 8/7
Rational number class 8th
The document defines rational numbers as numbers that can be expressed as p/q, where p and q are integers and q is not equal to 0. It discusses properties of rational numbers such as closure under addition, subtraction, multiplication, and division. It also covers the identity properties of 0 and 1 for addition and multiplication, as well as inverse properties and representation of rational numbers on a number line.
Chirp_Mass
1. The document discusses using Fibonacci numbers to calculate the speed of light c. It gets a value of 2.997189 instead of the correct 2.997925.
2. It explores adjusting dimensions and powers to get closer to the right value. Changing from D=8 to D=5 for chirp mass and adjusting single 1 values helps improve the result to 2.997689.
3. The source of error in the last 3 digits is likely the use of the number 13, which should be derived differently using limits approaching 1infinity. Measurement uncertainty may also contribute to the difference from theoretical predictions.
Numbers 3º eso
1. The document classifies numbers into categories of rational numbers, integers, whole numbers, natural numbers, and irrational numbers. It provides examples of numbers that belong in each category and has the reader write more examples. It also has the reader draw a map showing the relationships between the categories.
2. The document provides fraction arithmetic problems and has the reader write out the first line of operations in English.
3. Examples of fraction arithmetic problems are provided along with the English translation of the first line of operations. Readers are asked to solve additional problems and write out the first line of operations in English.
Factoring Distributive Property
This document discusses factoring polynomials by undoing the distributive property. It provides the example of factoring 3x - 12. To do this, the greatest common factor (GCF) of 3 is pulled out in front of the parentheses. Inside the parentheses, x is placed for the first term and -4 is placed for the second term, resulting in the factored form 3(x - 4).
2.2 multply and divide mixed numbers 3
The document discusses multiplying and dividing mixed numbers. It states that multiplying mixed numbers in their original form requires four multiplications, but it is usually easier to first convert them to improper fractions. It provides examples of multiplying and dividing mixed numbers step-by-step, reducing terms and dividing out common factors. It also shows evaluating a mixed number expression by distributing and then simplifying.
Alg1 lesson 5-5
This document discusses different forms for writing equations of lines, including slope-intercept form, point-slope form, and standard form. It provides examples of writing equations in these forms given information like the slope, y-intercept, and a point that the line passes through. It also shows that the slope-intercept and point-slope forms represent the same line. The document asks the reader to write equations in point-slope and standard form given parts of the equation.
5.5 roots of real numbers
The document discusses roots of real numbers, including how to calculate square roots, nth roots, and principal roots. It explains that the nth root of a number a is the value b such that bn = a, and that the principal root ensures a nonnegative result. When there is more than one real root, the principal root is the nonnegative root.
R merge-tutorial
This document discusses using the merge() function in R to perform SQL joins. It shows how merge() can be used to join two datasets (A and B) on the common field "FieldGroup" to get a full outer join, equivalent to a LEFT JOIN in SQL. The default behavior of merge() performs an inner join, but specifying all.y=TRUE ensures all records from the second dataset (B) are kept, even if they don't match the first dataset (A). It also demonstrates how the output can be larger than the inputs if duplicate keys are present.
The binomial theorem class 11 maths
This document discusses binomial expansion, which is the process of expanding expressions with two terms like (x + a) to higher powers without lengthy multiplication. It introduces Pascal's triangle as a way to determine the coefficients in the expanded terms. It then defines the factorial operation and provides a general formula for determining the coefficients of any term when expanding a binomial to a given power.
Day 4a examples
1. The x-intercept of the function y=f(x) is 5, so the x-intercept of y=f(x)^2 is also 5.
2. The coordinates of a point on the graph of y=g(x) are (-3,5), so the coordinates of a point on the graph of y=h(-x) are (3,5).
3. The equation y=-f(x-4) describes a function that is shifted down 4 units and compressed vertically by a factor of 2 compared to the original function f(x).
Cube and cube roots converted-converted
The document discusses cube numbers, their properties, cube roots and related concepts. It provides the following key points:
1) A cube number is a number multiplied by itself 3 times (m3). The cube of a positive number is positive, and the cube of a negative number is negative.
2) To find the cube root of a number is to find the number that when multiplied by itself 3 times equals the given number.
3) Finding the cube root of a number can be done by prime factorizing the number and taking the cube root of each prime factor.
4) The units digit of cube numbers follows a repeating pattern related to the original number, as shown in tables in the document
Fantacy foot ball introduction
The document introduces the order of operations for evaluating expressions with multiple mathematical operations, noting that operations inside parentheses should be performed first, followed by multiplication and division from left to right, and then addition and subtraction from left to right. Several examples demonstrate applying the order of operations to evaluate expressions step-by-step. Rules for evaluating expressions with fractions are also provided.
Binomial theorem
The document discusses expanding binomial expressions like (x + y)n using Pascal's triangle and the binomial theorem. It explains that each term in the expansion has exponents of x and y that add up to n, with the x exponent decreasing by 1 and the y exponent increasing by 1 in subsequent terms. The coefficients of the terms form Pascal's triangle. It also presents the binomial theorem formula for finding the coefficients and discusses using factorials. It provides an example of finding a specific term in a binomial expansion by identifying which value of k corresponds to that term number.
How You Can Read ISIN_
The International Securities Identification Number (ISIN) code provides a unique identification for securities. It is composed of 12 alphanumeric characters broken into sections that identify the country of issuance, security type, and check digit. The first two characters identify the country. The next nine characters provide information on the issuer and security type. The final character is a check digit calculated using the preceding characters to validate the number. The ISIN allows unambiguous identification of any traded security globally.
Bazinga game
True or False: x=14 is a solution to x+8=23. True or False: x=14 is a solution to x-10=4. Evaluate the expression x^3-5x for x= -2. If a state’s income tax is 4.3% of taxable income, how much will be owed in tax if your taxable income is $51,000? Solve the following equation: X+2.29=8.27.
Solving quadratic equations
The document discusses various methods for solving quadratic equations: factoring, using square roots, and completing the square. It provides examples of using each method to solve equations as well as word problems involving quadratic equations. Factoring involves writing the quadratic as a product of two binomials and setting each factor equal to 0. Using square roots involves taking the square root of both sides of the equation to isolate the variable. Completing the square rewrites the equation by adding or subtracting terms to put it in the form (x+a)2=b and then taking the square root of both sides.
power and exponents
This document discusses scientific notation and laws of exponents that are useful for operations involving numbers with exponents. It contains 6 key points:
1) Exponents allow expressing very large and small numbers easily.
2) Numbers can be written as exponents with different bases using factorisation.
3) Laws of exponents for multiplication, division, and powers are presented with examples.
4) Scientific notation expresses numbers as a coefficient between 1-10 multiplied by a power of 10.
Client Economic Update - July 2013
In July 2013 we held one of our regular client functions where we discussed the state of the Australian and global economies and our outlook for the next year. If you were unable to attend the function you can view the presentation below.
Perp
El documento contiene varias ecuaciones de líneas. Cada sección presenta dos ecuaciones de líneas, una en función de y = mx + b y la otra en función de y = bx + m. Las ecuaciones describen líneas con diferentes pendientes y ordenadas al origen.
More Related Content
What's hot
Quotient of polynomial using (Synthetic Division) and Zeros of Polynomial Fu...
This document discusses using synthetic division to find the quotient and remainder when dividing polynomials. It provides the step-by-step process for synthetic division, including examples of dividing polynomials where the divisor is of the form x + c and ax + c. The key steps are writing the coefficients of the dividend as the first row, taking the negative of the constant term of the divisor as the multiplier, bringing down terms and multiplying and adding sequentially until the last term. The numbers in the third row give the quotient polynomial. The document also discusses using factoring and setting each factor equal to 0 to find the zeros of a polynomial function.
Jan. 13 polynonial sketching
The document discusses how to sketch graphs of polynomial functions. It explains that for odd degree polynomials, the graph behavior is opposite on the left and right sides, while for even degree polynomials the behavior is similar on both sides. It provides examples of how the graphs of cubic, quartic and quintic polynomials will appear. It outlines steps for sketching a polynomial graph which include finding the y-intercept, roots, sign of the function over intervals, and then sketching the graph. An example problem is given to factor a polynomial and sketch its graph.
Rational number ppt
Here are the steps to find 5/7 + 3/7 using appropriate properties:
1) Find a common denominator for 5/7 and 3/7:
The common denominator is 7
2) Convert 5/7 and 3/7 to equivalent fractions with the common denominator of 7:
5/7 = 5/7
3/7 = 3/7
3) Add the numerators:
5/7 + 3/7 = 8/7
4) Simplify if possible:
8/7 cannot be simplified.
Therefore, 5/7 + 3/7 = 8/7
Rational number class 8th
The document defines rational numbers as numbers that can be expressed as p/q, where p and q are integers and q is not equal to 0. It discusses properties of rational numbers such as closure under addition, subtraction, multiplication, and division. It also covers the identity properties of 0 and 1 for addition and multiplication, as well as inverse properties and representation of rational numbers on a number line.
Chirp_Mass
1. The document discusses using Fibonacci numbers to calculate the speed of light c. It gets a value of 2.997189 instead of the correct 2.997925.
2. It explores adjusting dimensions and powers to get closer to the right value. Changing from D=8 to D=5 for chirp mass and adjusting single 1 values helps improve the result to 2.997689.
3. The source of error in the last 3 digits is likely the use of the number 13, which should be derived differently using limits approaching 1infinity. Measurement uncertainty may also contribute to the difference from theoretical predictions.
Numbers 3º eso
1. The document classifies numbers into categories of rational numbers, integers, whole numbers, natural numbers, and irrational numbers. It provides examples of numbers that belong in each category and has the reader write more examples. It also has the reader draw a map showing the relationships between the categories.
2. The document provides fraction arithmetic problems and has the reader write out the first line of operations in English.
3. Examples of fraction arithmetic problems are provided along with the English translation of the first line of operations. Readers are asked to solve additional problems and write out the first line of operations in English.
Factoring Distributive Property
This document discusses factoring polynomials by undoing the distributive property. It provides the example of factoring 3x - 12. To do this, the greatest common factor (GCF) of 3 is pulled out in front of the parentheses. Inside the parentheses, x is placed for the first term and -4 is placed for the second term, resulting in the factored form 3(x - 4).
2.2 multply and divide mixed numbers 3
The document discusses multiplying and dividing mixed numbers. It states that multiplying mixed numbers in their original form requires four multiplications, but it is usually easier to first convert them to improper fractions. It provides examples of multiplying and dividing mixed numbers step-by-step, reducing terms and dividing out common factors. It also shows evaluating a mixed number expression by distributing and then simplifying.
Alg1 lesson 5-5
This document discusses different forms for writing equations of lines, including slope-intercept form, point-slope form, and standard form. It provides examples of writing equations in these forms given information like the slope, y-intercept, and a point that the line passes through. It also shows that the slope-intercept and point-slope forms represent the same line. The document asks the reader to write equations in point-slope and standard form given parts of the equation.
5.5 roots of real numbers
The document discusses roots of real numbers, including how to calculate square roots, nth roots, and principal roots. It explains that the nth root of a number a is the value b such that bn = a, and that the principal root ensures a nonnegative result. When there is more than one real root, the principal root is the nonnegative root.
R merge-tutorial
This document discusses using the merge() function in R to perform SQL joins. It shows how merge() can be used to join two datasets (A and B) on the common field "FieldGroup" to get a full outer join, equivalent to a LEFT JOIN in SQL. The default behavior of merge() performs an inner join, but specifying all.y=TRUE ensures all records from the second dataset (B) are kept, even if they don't match the first dataset (A). It also demonstrates how the output can be larger than the inputs if duplicate keys are present.
The binomial theorem class 11 maths
This document discusses binomial expansion, which is the process of expanding expressions with two terms like (x + a) to higher powers without lengthy multiplication. It introduces Pascal's triangle as a way to determine the coefficients in the expanded terms. It then defines the factorial operation and provides a general formula for determining the coefficients of any term when expanding a binomial to a given power.
Day 4a examples
1. The x-intercept of the function y=f(x) is 5, so the x-intercept of y=f(x)^2 is also 5.
2. The coordinates of a point on the graph of y=g(x) are (-3,5), so the coordinates of a point on the graph of y=h(-x) are (3,5).
3. The equation y=-f(x-4) describes a function that is shifted down 4 units and compressed vertically by a factor of 2 compared to the original function f(x).
Cube and cube roots converted-converted
The document discusses cube numbers, their properties, cube roots and related concepts. It provides the following key points:
1) A cube number is a number multiplied by itself 3 times (m3). The cube of a positive number is positive, and the cube of a negative number is negative.
2) To find the cube root of a number is to find the number that when multiplied by itself 3 times equals the given number.
3) Finding the cube root of a number can be done by prime factorizing the number and taking the cube root of each prime factor.
4) The units digit of cube numbers follows a repeating pattern related to the original number, as shown in tables in the document
Fantacy foot ball introduction
The document introduces the order of operations for evaluating expressions with multiple mathematical operations, noting that operations inside parentheses should be performed first, followed by multiplication and division from left to right, and then addition and subtraction from left to right. Several examples demonstrate applying the order of operations to evaluate expressions step-by-step. Rules for evaluating expressions with fractions are also provided.
Binomial theorem
The document discusses expanding binomial expressions like (x + y)n using Pascal's triangle and the binomial theorem. It explains that each term in the expansion has exponents of x and y that add up to n, with the x exponent decreasing by 1 and the y exponent increasing by 1 in subsequent terms. The coefficients of the terms form Pascal's triangle. It also presents the binomial theorem formula for finding the coefficients and discusses using factorials. It provides an example of finding a specific term in a binomial expansion by identifying which value of k corresponds to that term number.
How You Can Read ISIN_
The International Securities Identification Number (ISIN) code provides a unique identification for securities. It is composed of 12 alphanumeric characters broken into sections that identify the country of issuance, security type, and check digit. The first two characters identify the country. The next nine characters provide information on the issuer and security type. The final character is a check digit calculated using the preceding characters to validate the number. The ISIN allows unambiguous identification of any traded security globally.
Bazinga game
True or False: x=14 is a solution to x+8=23. True or False: x=14 is a solution to x-10=4. Evaluate the expression x^3-5x for x= -2. If a state’s income tax is 4.3% of taxable income, how much will be owed in tax if your taxable income is $51,000? Solve the following equation: X+2.29=8.27.
Solving quadratic equations
The document discusses various methods for solving quadratic equations: factoring, using square roots, and completing the square. It provides examples of using each method to solve equations as well as word problems involving quadratic equations. Factoring involves writing the quadratic as a product of two binomials and setting each factor equal to 0. Using square roots involves taking the square root of both sides of the equation to isolate the variable. Completing the square rewrites the equation by adding or subtracting terms to put it in the form (x+a)2=b and then taking the square root of both sides.
power and exponents
This document discusses scientific notation and laws of exponents that are useful for operations involving numbers with exponents. It contains 6 key points:
1) Exponents allow expressing very large and small numbers easily.
2) Numbers can be written as exponents with different bases using factorisation.
3) Laws of exponents for multiplication, division, and powers are presented with examples.
4) Scientific notation expresses numbers as a coefficient between 1-10 multiplied by a power of 10.
What's hot (20)
Quotient of polynomial using (Synthetic Division) and Zeros of Polynomial Fu...
Quotient of polynomial using (Synthetic Division) and Zeros of Polynomial Fu...
Viewers also liked
Client Economic Update - July 2013
In July 2013 we held one of our regular client functions where we discussed the state of the Australian and global economies and our outlook for the next year. If you were unable to attend the function you can view the presentation below.
Perp
El documento contiene varias ecuaciones de líneas. Cada sección presenta dos ecuaciones de líneas, una en función de y = mx + b y la otra en función de y = bx + m. Las ecuaciones describen líneas con diferentes pendientes y ordenadas al origen.
Solution 4
The document shows the step-by-step work of solving the equation 7x - 9y + 14 = 0 for y in terms of x. Through adding and subtracting like terms, the equation is isolated to 7y = 9x - 14, which when divided by 7 results in the solution y = 9x/7 - 2.
Like terms slide show
The document provides 3 examples of combining like terms in algebraic expressions. Each example shows identifying like terms, combining their coefficients, and obtaining a final simplified expression. The examples involve adding and combining terms with variables x, a, and b.
Presentation1yuut
The document discusses studio lighting and color. It appears to be about a person named Katie Brown and the topic of their work relates to studio lighting techniques and how lighting impacts color. In just 3 words - studio lighting, color, and Katie Brown's name - this brief document seems focused on the use of lighting setups and colors in a photography or film studio setting.
The Federal Budget for 2013/14
In July 2013 Justin recently a Federal Budget update to the Tamworth branch of the Association of Independent Retirees. The presentation sought to clarify some of the major announcements which arose from the budget.
G-net - Company Profile
This document provides information about G-net Network Solution Co., Ltd., including their missions, strategies, products, and milestones. It discusses their focus on security, network, and enterprise networks. It also lists their core distribution products and current distributorships. Several case studies and product demonstrations are presented, such as for people counting, demographics analysis, and retail solutions using video analytics. Camera models and their characteristics are also described.
Coincident Equations with hints
The document contains 10 different linear equations in slope-intercept form (y=mx+b) with various slopes and y-intercepts. It concludes by stating that coincident lines have the same slope and y-intercept.
งานกลุ่มที่5
This document outlines an energy efficiency plan with 5 main points. It recommends upgrading lighting to LED bulbs, installing a programmable thermostat, improving insulation, sealing air leaks, and upgrading appliances to energy efficient models. Completing these low-cost tasks will help reduce energy usage and utility bills.
เรื่อง เครื่องใช้ไฟฟ้า
This document outlines steps to improve energy efficiency in a home. It recommends replacing incandescent light bulbs with compact fluorescent lights (CFLs) to reduce energy usage. It also suggests adjusting the thermostat setting to use heating and cooling more efficiently when home. Additional recommendations include installing programmable thermostats, improving insulation, and sealing air leaks.
งานกลุ่มที่5
This document discusses 5 ways to reduce energy usage in a home. It lists replacing incandescent light bulbs with LED bulbs, improving insulation, installing a programmable thermostat, sealing air leaks, and upgrading appliances to energy efficient models as strategies to cut energy costs.
Parallel Line Hints
The document contains 10 different linear equations in slope-intercept form (y=mx+b) with various slopes and y-intercepts. It concludes by stating that coincident lines have the same slope and y-intercept.
Coin hints
This document contains 10 linear equations in the form of y=mx+b. The equations represent lines with different slopes and y-intercepts, except for the last two lines which are coincident since they have the same slope of -4 and y-intercept of 0.
Special Intersections #1
El documento contiene 10 ecuaciones lineales de la forma y=mx+b que representan diferentes rectas. Cada ecuación describe la relación entre las variables x e y para una recta específica con diferentes pendientes (m) y ordenadas al origen (b).
เรื่อง เครื่องใช้ไฟฟ้า
This document outlines steps to improve energy efficiency in a home. It recommends replacing incandescent light bulbs with compact fluorescent lights (CFLs) to reduce energy usage. It also suggests adjusting the thermostat setting to use heating and cooling more efficiently when home. Additional recommendations include installing programmable thermostats, improving insulation, and sealing air leaks.
Medical insurance eustis fl
While some important issues women’s wellness and health are paramount considerations for many, coverage varies widely because they’re mistakenly overlooked. Visit : http://www.midfloridabcbs.com
Parallel Lines
El documento presenta una serie de ecuaciones lineales de la forma y=mx+b, donde m representa la pendiente y b el corte con el eje y. Se muestran 12 pares de ecuaciones con diferentes pendientes y cortes con el eje y.
Perp hints
Two lines are perpendicular if their slopes have a product of -1. The slopes of perpendicular lines will always satisfy the property of having a product of -1.
Viewers also liked (20)
More from Esteban Parra
Solution 3
This document shows the step-by-step algebraic manipulation of the equation 9x + 7y - 1 = 0. Through adding 1 to both sides and subtracting 9x, the equation is transformed into y = -9x/7 + 1/7, representing the line that satisfies the original equation.
Solution 1
This document contains the step-by-step work to solve the equation 9x + 2y = 18 for y. It begins with the original equation, subtracts 9x from both sides, and then divides both sides by 2 to isolate y, resulting in the solution y = -9x/2 + 9.
Solving For x
The document shows the steps to solve the equation 3x + 6y - 8 = 4 for x. It begins with adding 8 to both sides, then subtracting 6y from both sides. This leaves 3x = -6y + 12, which is then divided by 3 to isolate x as x = -2y + 4.
Inequalities
The rules for solving inequalities are the same as for equations, except when dividing by a negative number, the inequality sign flips. This is demonstrated through examples of solving various types of inequalities, including those with fractions, variables on both sides, and using the distributive property. The key point is checking if the number divided by is positive or negative to determine if the inequality sign remains the same or flips.
Like terms equations examples
The document provides examples of solving linear equations in three steps: 1) combining like terms, 2) using the inverse operation to isolate the variable, and 3) dividing to solve for the variable. In example 1, the equation 2x + 6x = -24 is solved to get x = -3. In example 2, the equation 8a + 3 - 2a = -17 is solved to get a = -10/3.
Sol4
The document shows the step-by-step work of solving the equation 3 – 5(x + 1) = 21. It distributes the -5, combines like terms, and isolates x to find that the solution is x = 23/5. The key steps are to always distribute first, distribute the negative sign correctly, and show the work clearly at each step of the solution.
Sol3
The document shows the step-by-step work of solving the equation -2(4x + 5) +3 = -8. It begins with distributing the -2, combining like terms, and performing inverse operations until arriving at the solution of x = 1/8.
Sol2
This document shows the step-by-step work of solving the equation (3x - 6) = 24 for x. It begins with distributing the -1, then combining like terms and solving for x by first adding 6 to both sides and then dividing both sides by -3, resulting in the solution of x = 6.
Sol1
The document shows the step-by-step solution to the equation 2(x + 7) = 13. It distributes the 2 to get 2x + 14 = 13, then subtracts 14 from both sides to get 2x = -1, and finally divides both sides by 2 to find the solution x = -1/2.
Dp ex3
The document shows the step-by-step working of the expression 4(2x - 7), which equals 8x - 28 when fully simplified. It cautions that a common mistake is forgetting that the minus sign belongs to the 7 term, and not treating 2x - 7 as a single term.
Dp ex2
This document shows the step-by-step working of distributing a negative sign when multiplying a number by a binomial expression. It starts with the expression -3(6x + 1) and through distributing the negative sign, arrives at the equivalent expression -18x - 3 in 3 lines.
Dp ex1
This document provides an example of distributing a term over a parenthesis in an algebraic expression. It shows the steps of distributing the coefficient 7 over the terms in the parenthesis (x + 6), resulting in the equivalent expression of 7x + 42.
Solving 2 step equations examples
The document provides 7 examples of solving linear equations by performing inverse operations to isolate the variable. Each example shows the step-by-step work including adding, subtracting, multiplying, or dividing both sides of the equation by the same number to simplify it until the variable is alone on one side of the equation. The examples demonstrate solving equations for various types of linear expressions involving addition, subtraction, multiplication, and division of the variable.
Factoring quadratics ex 3.1
This document describes factoring the quadratic expression 1x^2 - 12x + 32. It shows the steps of multiplying the expression by 1, combining like terms, identifying the factors of the constant term 32 as 1 x 32 and 2 x 16, and determining that the factors of the expression are (x - 4)(x - 8) which results in the fully factored form.
Factoring quadratics ex 4
This document provides step-by-step work to factor the expression 1x^2 - 9. It begins with the expression, multiplies -9 to both sides, then factors -9 into 3*3. This leads to factoring the entire expression as (x-3)(x+3), showing the two factors that multiply to the original expression.
Factoring quadratics ex 3
This document discusses factorizing the quadratic expression 1x^2 - 2x - 24. It shows the steps of multiplying the expression by 1, finding the factors of -24, and determining that the factors that combine to give -24 are (x-6)(x+4), following the sign of the larger number. The expression is therefore factorized as (x-6)(x+4).
Factoring quadratics ex 2
This document describes factorizing the quadratic expression x^2 + 1x - 20. It shows the steps of multiplying, finding the factors of -20, and determining that the expression can be fully factorized as (x - 4)(x + 5).
Factoring quadratics ex 1
This document shows the step-by-step factorization of the expression 1x^2 + 6x + 8. It begins with the original expression and shows multiplying and adding like terms. The expression is then factored into (x + 2)(x + 4), showing the work and reasoning for combining the factors.
Ibnp
El documento contiene 12 conjuntos de ecuaciones lineales. Cada conjunto contiene dos ecuaciones lineales de la forma y=mx+b que representan rectas. Las ecuaciones varían en sus pendientes (m) y ordenadas al origen (b).
More from Esteban Parra (20)
Recently uploaded
Who Is the Largest Producer of Soybean in India Now.pdf
This blog explores the current largest producer of soybean in India and the factors contributing to their dominance.
1.2 Business Ideas Business Ideas Busine
Business Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas PowerpointBusiness Ideas Powerpoint
1. Elemental Economics - Introduction to mining.pdf
After this first you should: Understand the nature of mining; have an awareness of the industry’s boundaries, corporate structure and size; appreciation the complex motivations and objectives of the industries’ various participants; know how mineral reserves are defined and estimated, and how they evolve over time.
1：1制作加拿大麦吉尔大学毕业证硕士学历证书原版一模一样
原版一模一样【微信：741003700 】【加拿大麦吉尔大学毕业证硕士学历证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
快速制作美国迈阿密大学牛津分校毕业证文凭证书英文原版一模一样
原版一模一样【微信：741003700 】【美国迈阿密大学牛津分校毕业证文凭证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Tax System, Behaviour, Justice, and Voluntary Compliance Culture in Nigeria -...
Tax System, Behaviour, Justice, and Voluntary Compliance Culture in Nigeria -...Godwin Emmanuel Oyedokun MBA MSc PhD FCA FCTI FCNA CFE FFAR
Lecture slide titled Tax System, Behaviour, Justice, and Voluntary Compliance Culture in Nigeria - Prof Oyedokun.pptxSolution Manual For Financial Accounting, 8th Canadian Edition 2024, by Libby...
Solution Manual For Financial Accounting, 8th Canadian Edition 2024, by Libby, Hodge, Verified Chapters 1 - 13, Complete Newest Version Solution Manual For Financial Accounting, 8th Canadian Edition by Libby, Hodge, Verified Chapters 1 - 13, Complete Newest Version Solution Manual For Financial Accounting 8th Canadian Edition Pdf Chapters Download Stuvia Solution Manual For Financial Accounting 8th Canadian Edition Ebook Download Stuvia Solution Manual For Financial Accounting 8th Canadian Edition Pdf Solution Manual For Financial Accounting 8th Canadian Edition Pdf Download Stuvia Financial Accounting 8th Canadian Edition Pdf Chapters Download Stuvia Financial Accounting 8th Canadian Edition Ebook Download Stuvia Financial Accounting 8th Canadian Edition Pdf Financial Accounting 8th Canadian Edition Pdf Download Stuvia
2. Elemental Economics - Mineral demand.pdf
After this second you should be able to: Explain the main determinants of demand for any mineral product, and their relative importance; recognise and explain how demand for any product is likely to change with economic activity; recognise and explain the roles of technology and relative prices in influencing demand; be able to explain the differences between the rates of growth of demand for different products.
Pensions and housing - Pensions PlayPen - 4 June 2024 v3 (1).pdf
Wayhome's analysis of the UK market and how pension schemes can help solve the problems it presents younger people
Bridging the gap: Online job postings, survey data and the assessment of job ...
Bridging the gap: Online job postings, survey data and the assessment of job ...Labour Market Information Council | Conseil de l’information sur le marché du travail
OJP data from firms like Vicinity Jobs have emerged as a complement to traditional sources of labour demand data, such as the Job Vacancy and Wages Survey (JVWS). Ibrahim Abuallail, PhD Candidate, University of Ottawa, presented research relating to bias in OJPs and a proposed approach to effectively adjust OJP data to complement existing official data (such as from the JVWS) and improve the measurement of labour demand.An Overview of the Prosocial dHEDGE Vault works
How the prosocial dHEDGE earns you money while saving the world!
How Non-Banking Financial Companies Empower Startups With Venture Debt Financing
How Non-Banking Financial Companies Empower Startups With Venture Debt Financing
Sources of Revenue for State Government - Prof Oyedokun.pptx
Sources of Revenue for State Government - Prof Oyedokun.pptxGodwin Emmanuel Oyedokun MBA MSc PhD FCA FCTI FCNA CFE FFAR
Lecture slide on Sources of Revenue for State GovernmentDoes teamwork really matter? Looking beyond the job posting to understand lab...
Does teamwork really matter? Looking beyond the job posting to understand lab...Labour Market Information Council | Conseil de l’information sur le marché du travail
Vicinity Jobs’ data includes more than three million 2023 OJPs and thousands of skills. Most skills appear in less than 0.02% of job postings, so most postings rely on a small subset of commonly used terms, like teamwork.
Laura Adkins-Hackett, Economist, LMIC, and Sukriti Trehan, Data Scientist, LMIC, presented their research exploring trends in the skills listed in OJPs to develop a deeper understanding of in-demand skills. This research project uses pointwise mutual information and other methods to extract more information about common skills from the relationships between skills, occupations and regions.Recently uploaded (20)
Who Is the Largest Producer of Soybean in India Now.pdf
Who Is the Largest Producer of Soybean in India Now.pdf
1. Elemental Economics - Introduction to mining.pdf
1. Elemental Economics - Introduction to mining.pdf
Tax System, Behaviour, Justice, and Voluntary Compliance Culture in Nigeria -...
Tax System, Behaviour, Justice, and Voluntary Compliance Culture in Nigeria -...
Solution Manual For Financial Accounting, 8th Canadian Edition 2024, by Libby...
Solution Manual For Financial Accounting, 8th Canadian Edition 2024, by Libby...
Pensions and housing - Pensions PlayPen - 4 June 2024 v3 (1).pdf
Pensions and housing - Pensions PlayPen - 4 June 2024 v3 (1).pdf
Applying the Global Internal Audit Standards_AIS.pdf
Applying the Global Internal Audit Standards_AIS.pdf
Bridging the gap: Online job postings, survey data and the assessment of job ...
Bridging the gap: Online job postings, survey data and the assessment of job ...
How Non-Banking Financial Companies Empower Startups With Venture Debt Financing
How Non-Banking Financial Companies Empower Startups With Venture Debt Financing
Sources of Revenue for State Government - Prof Oyedokun.pptx
Sources of Revenue for State Government - Prof Oyedokun.pptx
Does teamwork really matter? Looking beyond the job posting to understand lab...
Does teamwork really matter? Looking beyond the job posting to understand lab...
Factoring quadratics ex 5
- 1. 3x2 - 8x - 3
- 2. 3x2 - 8x - 3 Multiply Factor -9
- 3. 3x2 - 8x - 3 Factor -9 1 9 3 3 Factors must combine (subtract) to this
- 4. 3x2 - 8x - 3 Factor -9 1 9 3 3 Factors must combine (subtract) to this
- 5. 3x2 - 8x - 3 Factor -9 +1 -9 Sign of larger number
- 6. 3x2 - 8x - 3 Factor -9 +1 -9 (x )(x )
- 7. 3x2 - 8x - 3 (x + 1)(x - 9) Extra steps since a does not equal 1
- 8. 3x2 - 8x - 3 (x + 1)(x - 9) Extra steps since a does not equal 1 3 3 Divide both #’s by a
- 9. 3x2 - 8x - 3 (x + 1)(x - 9) Extra steps since a does not equal 1 3 3 Divide both #’s by a Reduce (if possible) (x + 1)(x - 3) 3
- 10. 3x2 - 8x - 3 (x + 1)(x - 9) Extra steps since a does not equal 1 3 3 Divide both #’s by a Reduce (if possible) (x + 1)(x - 3) 3 Move denominators in front of the x(3x + 1)(x - 3)