College Algebra
College Algebra
6th Edition
ISBN: 9780321782281
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter 6.5, Problem 1CVC

| 5 4 2 3 | = _ ⋅ _ − _ ⋅ _ = _ − _ = _

The value of this second-order ____is____.

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Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy?      S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player.    S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to mary
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke?    S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00

Chapter 6 Solutions

College Algebra

Ch. 6.1 - A rectangular array of numbers, arranged in rows...Ch. 6.1 - Consider the matrix [ 111342211|246 ]. We can...Ch. 6.1 - Prob. 3CVCCh. 6.1 - Using Gauss-Jordan diminution to solve the system...Ch. 6.1 - True or false: Back-substitution is required to...Ch. 6.1 - True or false: Back-substitution is required to...Ch. 6.1 - Prob. 1PECh. 6.1 - In Exercises 18, write the augmented matrix for...Ch. 6.1 - In Exercises 1-8, write the augmented matrix for...Ch. 6.1 - In Exercises 1-8, write the augmented matrix for...
Ch. 6.1 - In Exercises 1-8, write the augmented matrix for...Ch. 6.1 - Prob. 6PECh. 6.1 - Prob. 7PECh. 6.1 - Prob. 8PECh. 6.1 - Prob. 9PECh. 6.1 - Prob. 10PECh. 6.1 - Prob. 11PECh. 6.1 - In Exercises 9 write the system of linear...Ch. 6.1 - Prob. 13PECh. 6.1 - Prob. 14PECh. 6.1 - Prob. 15PECh. 6.1 - In Exercises 1318, perform each matrix row...Ch. 6.1 - In Exercises 1318, perform each matrix row...Ch. 6.1 - In Exercises 13 perform each matrix row operation...Ch. 6.1 - Prob. 19PECh. 6.1 - Prob. 20PECh. 6.1 - Prob. 21PECh. 6.1 - In Exercises 2138, solve each system of equations...Ch. 6.1 - In Exercises 2138, solve each system of equations...Ch. 6.1 - Prob. 24PECh. 6.1 - Prob. 25PECh. 6.1 - Prob. 26PECh. 6.1 - Prob. 27PECh. 6.1 - Prob. 28PECh. 6.1 - Prob. 29PECh. 6.1 - Prob. 30PECh. 6.1 - Prob. 31PECh. 6.1 - In Exercises 2138, solve each system of equations...Ch. 6.1 - Prob. 33PECh. 6.1 - In Exercises 2138, solve each system of equations...Ch. 6.1 - Prob. 35PECh. 6.1 - Prob. 36PECh. 6.1 - Prob. 37PECh. 6.1 - Prob. 38PECh. 6.1 - Prob. 39PECh. 6.1 - Prob. 40PECh. 6.1 - Prob. 41PECh. 6.1 - Prob. 42PECh. 6.1 - Prob. 43PECh. 6.1 - Prob. 44PECh. 6.1 - Prob. 45PECh. 6.1 - Prob. 46PECh. 6.1 - Prob. 47PECh. 6.1 - Prob. 48PECh. 6.1 - Prob. 49PECh. 6.1 - Prob. 50PECh. 6.1 - Prob. 51PECh. 6.1 - Prob. 52PECh. 6.1 - Prob. 53PECh. 6.1 - Prob. 54PECh. 6.1 - Prob. 55PECh. 6.1 - Prob. 56PECh. 6.1 - Prob. 57PECh. 6.1 - Prob. 58PECh. 6.1 - Prob. 59PECh. 6.1 - Make Sense? In Exercises 5962, determine whether...Ch. 6.1 - Prob. 61PECh. 6.1 - Prob. 62PECh. 6.1 - Prob. 63PECh. 6.1 - Prob. 64PECh. 6.1 - In Exercises 6366, determine whether each...Ch. 6.1 - In Exercises 63 determine whether each statement...Ch. 6.1 - Prob. 67PECh. 6.1 - Prob. 68PECh. 6.1 - Prob. 69PECh. 6.1 - Exercises 71-will help you prepare for the...Ch. 6.2 - Prob. 1CVCCh. 6.2 - Prob. 2CVCCh. 6.2 - Prob. 3CVCCh. 6.2 - Prob. 4CVCCh. 6.2 - Prob. 5CVCCh. 6.2 - Prob. 1PECh. 6.2 - Prob. 2PECh. 6.2 - Prob. 3PECh. 6.2 - Prob. 4PECh. 6.2 - Prob. 5PECh. 6.2 - Prob. 6PECh. 6.2 - Prob. 7PECh. 6.2 - Prob. 8PECh. 6.2 - In Exercises 124, use Gaussian elimination to find...Ch. 6.2 - Prob. 10PECh. 6.2 - Prob. 11PECh. 6.2 - Prob. 12PECh. 6.2 - Prob. 13PECh. 6.2 - Prob. 14PECh. 6.2 - Prob. 15PECh. 6.2 - Prob. 16PECh. 6.2 - Prob. 17PECh. 6.2 - Prob. 18PECh. 6.2 - Prob. 19PECh. 6.2 - Prob. 20PECh. 6.2 - Prob. 21PECh. 6.2 - Prob. 22PECh. 6.2 - Prob. 23PECh. 6.2 - Prob. 24PECh. 6.2 - Prob. 25PECh. 6.2 - Prob. 26PECh. 6.2 - Prob. 27PECh. 6.2 - Prob. 28PECh. 6.2 - Prob. 29PECh. 6.2 - Prob. 30PECh. 6.2 - Prob. 31PECh. 6.2 - Prob. 32PECh. 6.2 - Prob. 33PECh. 6.2 - Prob. 34PECh. 6.2 - Prob. 35PECh. 6.2 - Prob. 36PECh. 6.2 - Prob. 37PECh. 6.2 - Prob. 38PECh. 6.2 - Prob. 39PECh. 6.2 - Prob. 40PECh. 6.2 - Prob. 41PECh. 6.2 - Prob. 42PECh. 6.2 - Prob. 43PECh. 6.2 - Prob. 44PECh. 6.2 - Prob. 45PECh. 6.2 - Prob. 46PECh. 6.2 - Prob. 47PECh. 6.2 - Prob. 48PECh. 6.2 - Prob. 49PECh. 6.3 - The notation a34 refers to the element in the___...Ch. 6.3 - The order of A = [2 3 7] is_________Ch. 6.3 - Prob. 3CVCCh. 6.3 - If [3xy7]=[31067], then x = ________ and y =...Ch. 6.3 - Prob. 5CVCCh. 6.3 - Prob. 6CVCCh. 6.3 - Prob. 7CVCCh. 6.3 - Prob. 8CVCCh. 6.3 - Prob. 9CVCCh. 6.3 - Prob. 10CVCCh. 6.3 - In Exercises 14, a. Give the order of each matrix....Ch. 6.3 - Prob. 2PECh. 6.3 - Prob. 3PECh. 6.3 - Prob. 4PECh. 6.3 - Prob. 5PECh. 6.3 - Prob. 6PECh. 6.3 - In Exercises 5-8, find values far the variables so...Ch. 6.3 - Prob. 8PECh. 6.3 - In Exercises 9-16, find the following matrices: a....Ch. 6.3 - Prob. 10PECh. 6.3 - Prob. 11PECh. 6.3 - Prob. 12PECh. 6.3 - Prob. 13PECh. 6.3 - Prob. 14PECh. 6.3 - Prob. 15PECh. 6.3 - Prob. 16PECh. 6.3 - Prob. 17PECh. 6.3 - In Exercises 1726, let A=[ 372950 ] and B=[ 510034...Ch. 6.3 - Prob. 19PECh. 6.3 - Prob. 20PECh. 6.3 - Prob. 21PECh. 6.3 - Prob. 22PECh. 6.3 - Prob. 23PECh. 6.3 - Prob. 24PECh. 6.3 - Prob. 25PECh. 6.3 - Prob. 26PECh. 6.3 - Prob. 27PECh. 6.3 - In Exercises 27-36, find (if possible) the...Ch. 6.3 - Prob. 29PECh. 6.3 - Prob. 30PECh. 6.3 - Prob. 31PECh. 6.3 - Prob. 32PECh. 6.3 - Prob. 33PECh. 6.3 - Prob. 34PECh. 6.3 - Prob. 35PECh. 6.3 - Prob. 36PECh. 6.3 - Prob. 37PECh. 6.3 - Prob. 38PECh. 6.3 - Prob. 39PECh. 6.3 - Prob. 40PECh. 6.3 - Prob. 41PECh. 6.3 - Prob. 42PECh. 6.3 - Prob. 43PECh. 6.3 - Prob. 44PECh. 6.3 - Prob. 45PECh. 6.3 - Prob. 46PECh. 6.3 - Prob. 47PECh. 6.3 - Prob. 48PECh. 6.3 - Prob. 49PECh. 6.3 - Prob. 50PECh. 6.3 - The + sign in the figure is shown using 9 pixels...Ch. 6.3 - The + sign in the figure is shown using 9 pixels...Ch. 6.3 - Prob. 53PECh. 6.3 - Prob. 54PECh. 6.3 - Prob. 55PECh. 6.3 - Prob. 56PECh. 6.3 - Prob. 57PECh. 6.3 - Prob. 58PECh. 6.3 - Prob. 59PECh. 6.3 - Prob. 60PECh. 6.3 - Completing the transition to adulthood is measured...Ch. 6.3 - Prob. 62PECh. 6.3 - Prob. 63PECh. 6.3 - In a certain county the proportion of voters in...Ch. 6.3 - Prob. 65PECh. 6.3 - Prob. 66PECh. 6.3 - Prob. 67PECh. 6.3 - Prob. 68PECh. 6.3 - Prob. 69PECh. 6.3 - Prob. 70PECh. 6.3 - Prob. 71PECh. 6.3 - Prob. 72PECh. 6.3 - Prob. 73PECh. 6.3 - Prob. 74PECh. 6.3 - Prob. 75PECh. 6.3 - Prob. 76PECh. 6.3 - Prob. 77PECh. 6.3 - Prob. 78PECh. 6.3 - Prob. 79PECh. 6.3 - Prob. 80PECh. 6.3 - Prob. 81PECh. 6.3 - Prob. 82PECh. 6.3 - Prob. 83PECh. 6.3 - Prob. 84PECh. 6.3 - Prob. 85PECh. 6.3 - Exercises 88-90 will help you prepare for the...Ch. 6.3 - Prob. 87PECh. 6.4 - Prob. 1CVCCh. 6.4 - Prob. 2CVCCh. 6.4 - Prob. 3CVCCh. 6.4 - Prob. 4CVCCh. 6.4 - Prob. 5CVCCh. 6.4 - Prob. 6CVCCh. 6.4 - Prob. 7CVCCh. 6.4 - Prob. 8CVCCh. 6.4 - Prob. 9CVCCh. 6.4 - Prob. 1PECh. 6.4 - Prob. 2PECh. 6.4 - Prob. 3PECh. 6.4 - Prob. 4PECh. 6.4 - Prob. 5PECh. 6.4 - Prob. 6PECh. 6.4 - Prob. 7PECh. 6.4 - Prob. 8PECh. 6.4 - In Exercises 1-12, find the products AB and BA to...Ch. 6.4 - Prob. 10PECh. 6.4 - Prob. 11PECh. 6.4 - Prob. 12PECh. 6.4 - Prob. 13PECh. 6.4 - Prob. 14PECh. 6.4 - Prob. 15PECh. 6.4 - Prob. 16PECh. 6.4 - Prob. 17PECh. 6.4 - Prob. 18PECh. 6.4 - Prob. 19PECh. 6.4 - Prob. 20PECh. 6.4 - Prob. 21PECh. 6.4 - Prob. 22PECh. 6.4 - Prob. 23PECh. 6.4 - Prob. 24PECh. 6.4 - Prob. 25PECh. 6.4 - Prob. 26PECh. 6.4 - Prob. 27PECh. 6.4 - Prob. 28PECh. 6.4 - Prob. 29PECh. 6.4 - Prob. 30PECh. 6.4 - Prob. 31PECh. 6.4 - Prob. 32PECh. 6.4 - Prob. 33PECh. 6.4 - In Exercises 33-36, write each matrix equation as...Ch. 6.4 - Prob. 35PECh. 6.4 - Prob. 36PECh. 6.4 - Prob. 37PECh. 6.4 - Prob. 38PECh. 6.4 - Prob. 39PECh. 6.4 - Prob. 40PECh. 6.4 - Prob. 41PECh. 6.4 - Prob. 42PECh. 6.4 - Prob. 43PECh. 6.4 - Prob. 44PECh. 6.4 - Prob. 45PECh. 6.4 - Prob. 46PECh. 6.4 - Prob. 47PECh. 6.4 - Prob. 48PECh. 6.4 - Prob. 49PECh. 6.4 - Prob. 50PECh. 6.4 - Prob. 51PECh. 6.4 - Prob. 52PECh. 6.4 - Prob. 53PECh. 6.4 - Prob. 54PECh. 6.4 - Prob. 55PECh. 6.4 - Prob. 56PECh. 6.4 - Explain why a matrix that does not have the same...Ch. 6.4 - Prob. 58PECh. 6.4 - Prob. 59PECh. 6.4 - Prob. 60PECh. 6.4 - Prob. 61PECh. 6.4 - Prob. 62PECh. 6.4 - Prob. 63PECh. 6.4 - Prob. 64PECh. 6.4 - Prob. 65PECh. 6.4 - Prob. 66PECh. 6.4 - Prob. 67PECh. 6.4 - Prob. 68PECh. 6.4 - Prob. 69PECh. 6.4 - Prob. 70PECh. 6.4 - Prob. 71PECh. 6.4 - Prob. 72PECh. 6.4 - Prob. 73PECh. 6.4 - Prob. 74PECh. 6.4 - Prob. 75PECh. 6.4 - Prob. 76PECh. 6.4 - In Exercises 78, use a coding matrix A of your...Ch. 6.4 - Prob. 78PECh. 6.4 - Prob. 79PECh. 6.4 - Prob. 80PECh. 6.4 - Prob. 81PECh. 6.4 - Prob. 82PECh. 6.4 - Prob. 83PECh. 6.4 - Prob. 84PECh. 6.4 - Prob. 85PECh. 6.4 - In Exercises 83-88, determine whether each...Ch. 6.4 - Prob. 87PECh. 6.4 - Prob. 88PECh. 6.4 - Prob. 89PECh. 6.4 - Prob. 90PECh. 6.4 - Prob. 91PECh. 6.4 - Prob. 92PECh. 6.4 - Prob. 93PECh. 6.4 - Prob. 94PECh. 6.4 - Prob. 95PECh. 6.5 - | 5423 |=== The value of this second-order...Ch. 6.5 - Prob. 2CVCCh. 6.5 - Prob. 3CVCCh. 6.5 - Prob. 4CVCCh. 6.5 - Prob. 5CVCCh. 6.5 - Prob. 1PECh. 6.5 - Prob. 2PECh. 6.5 - Prob. 3PECh. 6.5 - Prob. 4PECh. 6.5 - Prob. 5PECh. 6.5 - Prob. 6PECh. 6.5 - Prob. 7PECh. 6.5 - Prob. 8PECh. 6.5 - Prob. 9PECh. 6.5 - Prob. 10PECh. 6.5 - Prob. 11PECh. 6.5 - Prob. 12PECh. 6.5 - Prob. 13PECh. 6.5 - Prob. 14PECh. 6.5 - Prob. 15PECh. 6.5 - Prob. 16PECh. 6.5 - Prob. 17PECh. 6.5 - Prob. 18PECh. 6.5 - Prob. 19PECh. 6.5 - Prob. 20PECh. 6.5 - Prob. 21PECh. 6.5 - Prob. 22PECh. 6.5 - Prob. 23PECh. 6.5 - Prob. 24PECh. 6.5 - Prob. 25PECh. 6.5 - Prob. 26PECh. 6.5 - Prob. 27PECh. 6.5 - Prob. 28PECh. 6.5 - Prob. 29PECh. 6.5 - Prob. 30PECh. 6.5 - Prob. 31PECh. 6.5 - Prob. 32PECh. 6.5 - Prob. 33PECh. 6.5 - Prob. 34PECh. 6.5 - Prob. 35PECh. 6.5 - Prob. 36PECh. 6.5 - Prob. 37PECh. 6.5 - Prob. 38PECh. 6.5 - Prob. 39PECh. 6.5 - Prob. 40PECh. 6.5 - Prob. 41PECh. 6.5 - Prob. 42PECh. 6.5 - Prob. 43PECh. 6.5 - Prob. 44PECh. 6.5 - Prob. 45PECh. 6.5 - Prob. 46PECh. 6.5 - Prob. 47PECh. 6.5 - Prob. 48PECh. 6.5 - Prob. 49PECh. 6.5 - Prob. 50PECh. 6.5 - Prob. 51PECh. 6.5 - Prob. 52PECh. 6.5 - Prob. 53PECh. 6.5 - Prob. 54PECh. 6.5 - Prob. 55PECh. 6.5 - Prob. 56PECh. 6.5 - Prob. 57PECh. 6.5 - Prob. 58PECh. 6.5 - Prob. 59PECh. 6.5 - Prob. 60PECh. 6.5 - Prob. 61PECh. 6.5 - Prob. 62PECh. 6.5 - Prob. 63PECh. 6.5 - Prob. 64PECh. 6.5 - Prob. 65PECh. 6.5 - Prob. 66PECh. 6.5 - Prob. 67PECh. 6.5 - Make Sense? In Exercises 67-70, determine whether...Ch. 6.5 - Prob. 69PECh. 6.5 - Prob. 70PECh. 6.5 - Prob. 71PECh. 6.5 - Prob. 72PECh. 6.5 - Prob. 73PECh. 6.5 - Prob. 74PECh. 6.5 - Prob. 75PECh. 6.5 - Prob. 76PECh. 6.5 - Prob. 77PECh. 6.5 - Prob. 78PECh. 6.5 - Prob. 79PECh. 6 - In Exercises 1-5, use matrices to find the...Ch. 6 - Prob. 2MCCPCh. 6 - Prob. 3MCCPCh. 6 - Prob. 4MCCPCh. 6 - Prob. 5MCCPCh. 6 - Prob. 6MCCPCh. 6 - Prob. 7MCCPCh. 6 - Prob. 8MCCPCh. 6 - Prob. 9MCCPCh. 6 - Prob. 10MCCPCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - In Exercises 14-27, perform the indicated matrix...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - The figure shows a right triangle in a rectangular...Ch. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - In Exercises 42 find A-1. Check that AA-1 = I and...Ch. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - In Exercises 39 - find A-1 Check that AA-1 = I and...Ch. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 1CRECh. 6 - Prob. 2CRECh. 6 - Prob. 3CRECh. 6 - Solve each equation or inequality in Exercises...Ch. 6 - Prob. 5CRECh. 6 - Prob. 6CRECh. 6 - Prob. 7CRECh. 6 - Prob. 8CRECh. 6 - Prob. 9CRECh. 6 - Prob. 10CRECh. 6 - Prob. 11CRECh. 6 - Prob. 12CRECh. 6 - Use the exponential decay model A = A0ekt to solve...Ch. 6 - Prob. 14CRECh. 6 - Prob. 15CRECh. 6 - Prob. 16CRECh. 6 - Prob. 17CRECh. 6 - Prob. 18CRECh. 6 - In Exercises 16-19, graph each equation, function,...Ch. 6 - (x - 1)2 + (y + 1)2 = 9 Use synthetic division to...
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