Intermediate Algebra
Intermediate Algebra
5th Edition
ISBN: 9781259610233
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Textbook Question
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Chapter 4.8, Problem 94PE

A company makes water purification systems. The factory can produce x water systems per year. The profit P(x) the company makes is a function of the number of systems x it produces.

P ( x ) = 2 x 2 + 1000 x

  1. Is the function linear or quadratic?
  2. Find the number of water systems x that would provide a zero profit.

  • What points on the graph do the answers in part (b) represent?
  • Find the number of systems for which the profit is $80,000.

    • Chapter 4.8, Problem 94PE, A company makes water purification systems. The factory can produce x water systems per year. The

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    Chapter 4 Solutions

    Intermediate Algebra

    Ch. 4.1 - a. A(n)_____________ is used to show repeated...Ch. 4.1 - Prob. 2PECh. 4.1 - Prob. 3PECh. 4.1 - Prob. 4PECh. 4.1 - For exercises 4-9, write an example of each...Ch. 4.1 - Prob. 6PECh. 4.1 - Prob. 7PECh. 4.1 - Prob. 8PECh. 4.1 - Prob. 9PECh. 4.1 - Prob. 10PE
    Ch. 4.1 - Prob. 11PECh. 4.1 - Prob. 12PECh. 4.1 - Prob. 13PECh. 4.1 - Prob. 14PECh. 4.1 - For exercises 10-28, simplify. (See Example 1.)...Ch. 4.1 - Prob. 16PECh. 4.1 - Prob. 17PECh. 4.1 - Prob. 18PECh. 4.1 - Prob. 19PECh. 4.1 - For exercises 10-28, simplify. (See Example 1.)...Ch. 4.1 - Prob. 21PECh. 4.1 - Prob. 22PECh. 4.1 - Prob. 23PECh. 4.1 - Prob. 24PECh. 4.1 - For exercises 10-28, simplify. (See Example 1.)...Ch. 4.1 - Prob. 26PECh. 4.1 - Prob. 27PECh. 4.1 - Prob. 28PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 31PECh. 4.1 - Prob. 32PECh. 4.1 - Prob. 33PECh. 4.1 - Prob. 34PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 36PECh. 4.1 - Prob. 37PECh. 4.1 - Prob. 38PECh. 4.1 - Prob. 39PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 41PECh. 4.1 - Prob. 42PECh. 4.1 - Prob. 43PECh. 4.1 - Prob. 44PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 46PECh. 4.1 - Prob. 47PECh. 4.1 - Prob. 48PECh. 4.1 - Prob. 49PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 51PECh. 4.1 - Prob. 52PECh. 4.1 - Prob. 53PECh. 4.1 - Prob. 54PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 56PECh. 4.1 - Prob. 57PECh. 4.1 - Prob. 58PECh. 4.1 - Prob. 59PECh. 4.1 - For Exercises 29-80, simplify and write the answer...Ch. 4.1 - Prob. 61PECh. 4.1 - Prob. 62PECh. 4.1 - Prob. 63PECh. 4.1 - Prob. 64PECh. 4.1 - Prob. 65PECh. 4.1 - Prob. 66PECh. 4.1 - Prob. 67PECh. 4.1 - Prob. 68PECh. 4.1 - Prob. 69PECh. 4.1 - Prob. 70PECh. 4.1 - Prob. 71PECh. 4.1 - Prob. 72PECh. 4.1 - Prob. 73PECh. 4.1 - Prob. 74PECh. 4.1 - Prob. 75PECh. 4.1 - Prob. 76PECh. 4.1 - Prob. 77PECh. 4.1 - Prob. 78PECh. 4.1 - Prob. 79PECh. 4.1 - Prob. 80PECh. 4.1 - Prob. 81PECh. 4.1 - Write the numbers in scientific notation. The...Ch. 4.1 - Prob. 83PECh. 4.1 - Prob. 84PECh. 4.1 - Prob. 85PECh. 4.1 - Prob. 86PECh. 4.1 - Prob. 87PECh. 4.1 - Prob. 88PECh. 4.1 - Prob. 89PECh. 4.1 - Prob. 90PECh. 4.1 - Prob. 91PECh. 4.1 - Prob. 92PECh. 4.1 - Prob. 93PECh. 4.1 - Perform the indicated operation and write the...Ch. 4.1 - Perform the indicated operation and write the...Ch. 4.1 - Perform the indicated operation and write the...Ch. 4.1 - Perform the indicated operation and write the...Ch. 4.1 - Perform the indicated operation and write the...Ch. 4.1 - Prob. 99PECh. 4.1 - Prob. 100PECh. 4.1 - Prob. 101PECh. 4.1 - Prob. 102PECh. 4.1 - Prob. 103PECh. 4.1 - Prob. 104PECh. 4.1 - Prob. 105PECh. 4.1 - Prob. 106PECh. 4.1 - Prob. 107PECh. 4.1 - Prob. 108PECh. 4.1 - Prob. 109PECh. 4.1 - Prob. 110PECh. 4.1 - Prob. 111PECh. 4.2 - A _______ in the variable x, is a single term or a...Ch. 4.2 - Simply the expression 6tv215t31Ch. 4.2 - Simply the expression 2ac25a1c4Ch. 4.2 - Simply the expression 142230Ch. 4.2 - Simply the expression (3.4105)(5.0102)Ch. 4.2 - Simply the expression 6.21033.1105Ch. 4.2 - Prob. 7PECh. 4.2 - Prob. 8PECh. 4.2 - Prob. 9PECh. 4.2 - Write the polynomial 84y+y5y2 in descending order....Ch. 4.2 - Prob. 11PECh. 4.2 - Prob. 12PECh. 4.2 - Prob. 13PECh. 4.2 - Prob. 14PECh. 4.2 - Write a trinomial of degree 2 in one variable that...Ch. 4.2 - Write a trinomial of degree 3 in one variable that...Ch. 4.2 - Prob. 17PECh. 4.2 - Prob. 18PECh. 4.2 - Prob. 19PECh. 4.2 - Add polynomials and simplify (3n2+5n)+(2n32n)Ch. 4.2 - Prob. 21PECh. 4.2 - Prob. 22PECh. 4.2 - Prob. 23PECh. 4.2 - Prob. 24PECh. 4.2 - Add 9x2y5xy+1 to 8x2y+xy15Ch. 4.2 - Prob. 26PECh. 4.2 - Prob. 27PECh. 4.2 - Prob. 28PECh. 4.2 - Prob. 29PECh. 4.2 - 8y48y36y29 +(4y4+5y310y3) _______________________Ch. 4.2 - Prob. 31PECh. 4.2 - Prob. 32PECh. 4.2 - Prob. 33PECh. 4.2 - Prob. 34PECh. 4.2 - Write the opposite of the given polynomial...Ch. 4.2 - Prob. 36PECh. 4.2 - Prob. 37PECh. 4.2 - Prob. 38PECh. 4.2 - Prob. 39PECh. 4.2 - Subtract the polynomial and simplify...Ch. 4.2 - Prob. 41PECh. 4.2 - Prob. 42PECh. 4.2 - Prob. 43PECh. 4.2 - Prob. 44PECh. 4.2 - Subtract the polynomial and simplify...Ch. 4.2 - Prob. 46PECh. 4.2 - Prob. 47PECh. 4.2 - Prob. 48PECh. 4.2 - Prob. 49PECh. 4.2 - Find the difference of 7x102x43x and 4x35x4+x+5Ch. 4.2 - Prob. 51PECh. 4.2 - Prob. 52PECh. 4.2 - Prob. 53PECh. 4.2 - Prob. 54PECh. 4.2 - Add or subtract as indicated. Write the answer in...Ch. 4.2 - Prob. 56PECh. 4.2 - Prob. 57PECh. 4.2 - Prob. 58PECh. 4.2 - Prob. 59PECh. 4.2 - Add or subtract as indicated. Write the answer in...Ch. 4.2 - Prob. 61PECh. 4.2 - For exercise 51-74, add or subtract as indicated....Ch. 4.2 - Prob. 63PECh. 4.2 - Prob. 64PECh. 4.2 - Add or subtract as indicated. Write the answer in...Ch. 4.2 - Prob. 66PECh. 4.2 - Prob. 67PECh. 4.2 - Prob. 68PECh. 4.2 - Prob. 69PECh. 4.2 - Add or subtract as indicated. Write the answer in...Ch. 4.2 - Prob. 71PECh. 4.2 - Prob. 72PECh. 4.2 - Prob. 73PECh. 4.2 - Prob. 74PECh. 4.2 - Find the perimeter.Ch. 4.2 - Prob. 76PECh. 4.2 - Prob. 77PECh. 4.2 - Prob. 78PECh. 4.2 - Prob. 79PECh. 4.2 - Determine whether the given function q(x)=x24x3 is...Ch. 4.2 - Prob. 81PECh. 4.2 - Prob. 82PECh. 4.2 - Prob. 83PECh. 4.2 - Prob. 84PECh. 4.2 - Given P(x)=x4+2x5 , find the function values. P(2)...Ch. 4.2 - Prob. 86PECh. 4.2 - Prob. 87PECh. 4.2 - Prob. 88PECh. 4.2 - Prob. 89PECh. 4.2 - Pauline measure a rectangular conference room and...Ch. 4.2 - Prob. 91PECh. 4.2 - Prob. 92PECh. 4.2 - Prob. 93PECh. 4.2 - Prob. 94PECh. 4.2 - The number of women, W, to be paid child support...Ch. 4.2 - Prob. 96PECh. 4.2 - Prob. 97PECh. 4.3 - To multiply 2(4x5),apply the ___________ property....Ch. 4.3 - Prob. 2PECh. 4.3 - Prob. 3PECh. 4.3 - Prob. 4PECh. 4.3 - Prob. 5PECh. 4.3 - Prob. 6PECh. 4.3 - Prob. 7PECh. 4.3 - Prob. 8PECh. 4.3 - Prob. 9PECh. 4.3 - Multiply the polynomial (8.5c4d5e)(6cd2e) .Ch. 4.3 - Prob. 11PECh. 4.3 - Prob. 12PECh. 4.3 - Prob. 13PECh. 4.3 - Prob. 14PECh. 4.3 - Multiply the polynomial 6xy212x23xy .Ch. 4.3 - Prob. 16PECh. 4.3 - Prob. 17PECh. 4.3 - Prob. 18PECh. 4.3 - Prob. 19PECh. 4.3 - Multiply the polynomial (7+3x)(x8) .Ch. 4.3 - Prob. 21PECh. 4.3 - Prob. 22PECh. 4.3 - Prob. 23PECh. 4.3 - Prob. 24PECh. 4.3 - Multiply the polynomial (n2+10)(5n+3) .Ch. 4.3 - Prob. 26PECh. 4.3 - Prob. 27PECh. 4.3 - Prob. 28PECh. 4.3 - Prob. 29PECh. 4.3 - Multiply the polynomial (h5k)(h22hk+3k2) .Ch. 4.3 - Prob. 31PECh. 4.3 - Prob. 32PECh. 4.3 - Prob. 33PECh. 4.3 - Prob. 34PECh. 4.3 - Multiply the polynomial 12a2b+c(a+6bc) .Ch. 4.3 - Prob. 36PECh. 4.3 - Prob. 37PECh. 4.3 - Prob. 38PECh. 4.3 - Prob. 39PECh. 4.3 - Multiply the polynomial 23x+612x9 .Ch. 4.3 - Prob. 41PECh. 4.3 - Prob. 42PECh. 4.3 - Prob. 43PECh. 4.3 - Prob. 44PECh. 4.3 - Multiply by using the special case products...Ch. 4.3 - Prob. 46PECh. 4.3 - Prob. 47PECh. 4.3 - Prob. 48PECh. 4.3 - Prob. 49PECh. 4.3 - Multiply by using the special case products (x7y)2Ch. 4.3 - Prob. 51PECh. 4.3 - Prob. 52PECh. 4.3 - Prob. 53PECh. 4.3 - Prob. 54PECh. 4.3 - Multiply by using the special case products...Ch. 4.3 - Prob. 56PECh. 4.3 - Prob. 57PECh. 4.3 - Prob. 58PECh. 4.3 - Prob. 59PECh. 4.3 - Multiply by using the special case products...Ch. 4.3 - Prob. 61PECh. 4.3 - Prob. 62PECh. 4.3 - Prob. 63PECh. 4.3 - Prob. 64PECh. 4.3 - Prob. 65PECh. 4.3 - Prob. 66PECh. 4.3 - Prob. 67PECh. 4.3 - Prob. 68PECh. 4.3 - Prob. 69PECh. 4.3 - Prob. 70PECh. 4.3 - Prob. 71PECh. 4.3 - Prob. 72PECh. 4.3 - Prob. 73PECh. 4.3 - Prob. 74PECh. 4.3 - Prob. 75PECh. 4.3 - Prob. 76PECh. 4.3 - Prob. 77PECh. 4.3 - Prob. 78PECh. 4.3 - Prob. 79PECh. 4.3 - Simplify the expression 5y(2y3)(y+3)Ch. 4.3 - Prob. 81PECh. 4.3 - Prob. 82PECh. 4.3 - Prob. 83PECh. 4.3 - Prob. 84PECh. 4.3 - Simplify the expression (y+1)2(2y+3)2Ch. 4.3 - Prob. 86PECh. 4.3 - Prob. 87PECh. 4.3 - Prob. 88PECh. 4.3 - Prob. 89PECh. 4.3 - Translate from English form to algebraic form. The...Ch. 4.3 - Prob. 91PECh. 4.3 - Prob. 92PECh. 4.3 - Prob. 93PECh. 4.3 - Prob. 94PECh. 4.3 - A rectangular garden has a sidewalk around it of...Ch. 4.3 - Prob. 96PECh. 4.3 - Prob. 97PECh. 4.3 - Prob. 98PECh. 4.3 - Prob. 99PECh. 4.3 - Write the expression for area and simplify the...Ch. 4.3 - Prob. 101PECh. 4.3 - Prob. 102PECh. 4.3 - Prob. 103PECh. 4.3 - Prob. 104PECh. 4.3 - Prob. 105PECh. 4.3 - Prob. 106PECh. 4.3 - Prob. 107PECh. 4.3 - Prob. 108PECh. 4.3 - Prob. 109PECh. 4.3 - Explain how to multiply (y3)4 .Ch. 4.3 - Prob. 111PECh. 4.3 - Prob. 112PECh. 4.3 - Prob. 113PECh. 4.3 - (3y2) Multiplied by what binomial will result in...Ch. 4.4 - The ___________ algorithm states that Dividend =...Ch. 4.4 - Add (3x+1)+(2x+1) Multiply (3x+1)(2x5)Ch. 4.4 - Subtract (a10b)(5a+b) Multiply (a10b)(5a+b)Ch. 4.4 - Subtract (2y2+1)(y25y+1) Multiply (2y2+1)(y25y+1)Ch. 4.4 - Add (x2x)(6x2+x+2) Multiply (x2x)(6x2+x+2)Ch. 4.4 - Prob. 6PECh. 4.4 - Prob. 7PECh. 4.4 - Prob. 8PECh. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Divide the polynomial. Check your answer by...Ch. 4.4 - Prob. 21PECh. 4.4 - Prob. 22PECh. 4.4 - Prob. 23PECh. 4.4 - Prob. 24PECh. 4.4 - Prob. 25PECh. 4.4 - Prob. 26PECh. 4.4 - Prob. 27PECh. 4.4 - Prob. 28PECh. 4.4 - Prob. 29PECh. 4.4 - Prob. 30PECh. 4.4 - Prob. 31PECh. 4.4 - Prob. 32PECh. 4.4 - Prob. 33PECh. 4.4 - Prob. 34PECh. 4.4 - Prob. 35PECh. 4.4 - Prob. 36PECh. 4.4 - Prob. 37PECh. 4.4 - Prob. 38PECh. 4.4 - Prob. 39PECh. 4.4 - Prob. 40PECh. 4.4 - Prob. 41PECh. 4.4 - Prob. 42PECh. 4.4 - Prob. 43PECh. 4.4 - Prob. 44PECh. 4.4 - Prob. 45PECh. 4.4 - Prob. 46PECh. 4.4 - Prob. 47PECh. 4.4 - Prob. 48PECh. 4.4 - Prob. 49PECh. 4.4 - Prob. 50PECh. 4.4 - Prob. 51PECh. 4.4 - Prob. 52PECh. 4.4 - Prob. 53PECh. 4.4 - Prob. 54PECh. 4.4 - Prob. 55PECh. 4.4 - Prob. 56PECh. 4.4 - Prob. 57PECh. 4.4 - Prob. 58PECh. 4.4 - Prob. 59PECh. 4.4 - Prob. 60PECh. 4.4 - Prob. 61PECh. 4.4 - Prob. 62PECh. 4.4 - Prob. 63PECh. 4.4 - Prob. 64PECh. 4.4 - Prob. 65PECh. 4.4 - Prob. 66PECh. 4.4 - Prob. 67PECh. 4.4 - Prob. 68PECh. 4.4 - Prob. 69PECh. 4.4 - Prob. 70PECh. 4.4 - Prob. 71PECh. 4.4 - For Exercises 71-82, divide the polynomials by...Ch. 4.4 - Prob. 73PECh. 4.4 - Prob. 74PECh. 4.4 - Prob. 75PECh. 4.4 - Prob. 76PECh. 4.4 - Prob. 77PECh. 4.4 - Prob. 78PECh. 4.4 - For Exercises 71-82, divide the polynomials by...Ch. 4.4 - Prob. 80PECh. 4.4 - Prob. 81PECh. 4.4 - Prob. 82PECh. 4.4 - Prob. 83PECh. 4.4 - Prob. 84PECh. 4.4 - Prob. 85PECh. 4.4 - Prob. 86PECh. 4.4 - Prob. 87PECh. 4.4 - Prob. 1PRECh. 4.4 - Prob. 2PRECh. 4.4 - Prob. 3PRECh. 4.4 - Prob. 4PRECh. 4.4 - Prob. 5PRECh. 4.4 - Prob. 6PRECh. 4.4 - Prob. 7PRECh. 4.4 - Prob. 8PRECh. 4.4 - Prob. 9PRECh. 4.4 - Prob. 10PRECh. 4.4 - Prob. 11PRECh. 4.4 - Prob. 12PRECh. 4.4 - Prob. 13PRECh. 4.4 - Prob. 14PRECh. 4.4 - Prob. 15PRECh. 4.4 - Prob. 16PRECh. 4.4 - Prob. 17PRECh. 4.4 - Prob. 18PRECh. 4.4 - Prob. 19PRECh. 4.4 - Prob. 20PRECh. 4.4 - Prob. 21PRECh. 4.4 - Prob. 22PRECh. 4.4 - Prob. 23PRECh. 4.4 - Prob. 24PRECh. 4.4 - Prob. 25PRECh. 4.4 - Prob. 26PRECh. 4.4 - Prob. 27PRECh. 4.4 - Prob. 28PRECh. 4.4 - Prob. 29PRECh. 4.4 - Prob. 30PRECh. 4.4 - Prob. 31PRECh. 4.4 - Prob. 32PRECh. 4.5 - a. factoring a polynomial means to write it as a...Ch. 4.5 - Prob. 2PECh. 4.5 - Prob. 3PECh. 4.5 - Prob. 4PECh. 4.5 - Prob. 5PECh. 4.5 - Prob. 6PECh. 4.5 - Prob. 7PECh. 4.5 - Prob. 8PECh. 4.5 - Prob. 9PECh. 4.5 - For Exercises 9-24, factor out the greatest common...Ch. 4.5 - Prob. 11PECh. 4.5 - Prob. 12PECh. 4.5 - Prob. 13PECh. 4.5 - Prob. 14PECh. 4.5 - For Exercises 9-24, factor out the greatest common...Ch. 4.5 - Prob. 16PECh. 4.5 - Prob. 17PECh. 4.5 - Prob. 18PECh. 4.5 - Prob. 19PECh. 4.5 - For Exercises 9-24, factor out the greatest common...Ch. 4.5 - Prob. 21PECh. 4.5 - Prob. 22PECh. 4.5 - Prob. 23PECh. 4.5 - Prob. 24PECh. 4.5 - For Exercises 25-30, factor out the indicated...Ch. 4.5 - Prob. 26PECh. 4.5 - Prob. 27PECh. 4.5 - Prob. 28PECh. 4.5 - Prob. 29PECh. 4.5 - For Exercises 25-30, factor out the indicated...Ch. 4.5 - Prob. 31PECh. 4.5 - Prob. 32PECh. 4.5 - Prob. 33PECh. 4.5 - Prob. 34PECh. 4.5 - For Exercises 31-38, factor out the GCF. (See...Ch. 4.5 - Prob. 36PECh. 4.5 - Prob. 37PECh. 4.5 - Prob. 38PECh. 4.5 - Prob. 39PECh. 4.5 - Construct two different trinomials that have a...Ch. 4.5 - Construct a binomial that has a greatest common...Ch. 4.5 - Prob. 42PECh. 4.5 - Prob. 43PECh. 4.5 - Prob. 44PECh. 4.5 - For Exercises 45-64, factor each polynomial by...Ch. 4.5 - Prob. 46PECh. 4.5 - Prob. 47PECh. 4.5 - Prob. 48PECh. 4.5 - Prob. 49PECh. 4.5 - For Exercises 45-64, factor each polynomial by...Ch. 4.5 - Prob. 51PECh. 4.5 - Prob. 52PECh. 4.5 - Prob. 53PECh. 4.5 - Prob. 54PECh. 4.5 - For Exercises 45-64, factor each polynomial by...Ch. 4.5 - Prob. 56PECh. 4.5 - Prob. 57PECh. 4.5 - Prob. 58PECh. 4.5 - Prob. 59PECh. 4.5 - For Exercises 45-64, factor each polynomial by...Ch. 4.5 - Prob. 61PECh. 4.5 - Prob. 62PECh. 4.5 - Prob. 63PECh. 4.5 - Prob. 64PECh. 4.5 - Prob. 65PECh. 4.5 - Prob. 66PECh. 4.5 - Prob. 67PECh. 4.5 - Solve the equation S = rt + wt for t by first...Ch. 4.5 - Solve the equation ay + bx = cy for y.Ch. 4.5 - Prob. 70PECh. 4.5 - Prob. 71PECh. 4.5 - Prob. 72PECh. 4.5 - Prob. 73PECh. 4.5 - Prob. 74PECh. 4.5 - Prob. 75PECh. 4.5 - Prob. 76PECh. 4.5 - Prob. 77PECh. 4.5 - Prob. 78PECh. 4.5 - Prob. 79PECh. 4.5 - Prob. 80PECh. 4.6 - a. Given a trinomial x2+bx+c, if c is possible,...Ch. 4.6 - Prob. 2PECh. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - For Exercise 3-8, factor the Polynomial...Ch. 4.6 - In Exercises 9-46, factor the trinomial completely...Ch. 4.6 - Prob. 10PECh. 4.6 - Prob. 11PECh. 4.6 - Prob. 12PECh. 4.6 - In Exercises 9-46, factor the trinomial completely...Ch. 4.6 - Prob. 14PECh. 4.6 - Prob. 15PECh. 4.6 - Prob. 16PECh. 4.6 - Prob. 17PECh. 4.6 - Prob. 18PECh. 4.6 - Prob. 19PECh. 4.6 - Prob. 20PECh. 4.6 - Prob. 21PECh. 4.6 - Prob. 22PECh. 4.6 - Prob. 23PECh. 4.6 - Prob. 24PECh. 4.6 - Prob. 25PECh. 4.6 - Prob. 26PECh. 4.6 - Prob. 27PECh. 4.6 - Prob. 28PECh. 4.6 - Prob. 29PECh. 4.6 - Prob. 30PECh. 4.6 - Prob. 31PECh. 4.6 - In Exercises 9-46, factor the trinomial completely...Ch. 4.6 - Prob. 33PECh. 4.6 - Prob. 34PECh. 4.6 - Prob. 35PECh. 4.6 - Prob. 36PECh. 4.6 - Prob. 37PECh. 4.6 - Prob. 38PECh. 4.6 - Prob. 39PECh. 4.6 - Prob. 40PECh. 4.6 - Prob. 41PECh. 4.6 - Prob. 42PECh. 4.6 - Prob. 43PECh. 4.6 - Prob. 44PECh. 4.6 - Prob. 45PECh. 4.6 - Prob. 46PECh. 4.6 - Prob. 47PECh. 4.6 - Prob. 48PECh. 4.6 - Prob. 49PECh. 4.6 - Prob. 50PECh. 4.6 - Prob. 51PECh. 4.6 - Prob. 52PECh. 4.6 - Prob. 53PECh. 4.6 - Prob. 54PECh. 4.6 - Prob. 55PECh. 4.6 - Prob. 56PECh. 4.6 - Prob. 57PECh. 4.6 - Prob. 58PECh. 4.6 - Prob. 59PECh. 4.6 - Prob. 60PECh. 4.6 - Prob. 61PECh. 4.6 - Prob. 62PECh. 4.6 - Prob. 63PECh. 4.6 - Prob. 64PECh. 4.6 - Prob. 65PECh. 4.6 - Prob. 66PECh. 4.6 - Prob. 67PECh. 4.6 - Prob. 68PECh. 4.6 - Prob. 69PECh. 4.6 - Prob. 70PECh. 4.6 - Prob. 71PECh. 4.6 - Prob. 72PECh. 4.6 - Prob. 73PECh. 4.6 - Prob. 74PECh. 4.6 - Prob. 75PECh. 4.6 - Prob. 76PECh. 4.6 - Prob. 77PECh. 4.6 - Prob. 78PECh. 4.6 - Prob. 79PECh. 4.6 - Prob. 80PECh. 4.6 - Prob. 81PECh. 4.6 - Prob. 82PECh. 4.6 - Prob. 83PECh. 4.6 - Prob. 84PECh. 4.6 - Prob. 85PECh. 4.6 - Prob. 86PECh. 4.6 - Prob. 87PECh. 4.6 - Prob. 88PECh. 4.6 - Prob. 89PECh. 4.6 - Prob. 90PECh. 4.6 - Prob. 91PECh. 4.6 - Prob. 92PECh. 4.6 - Prob. 93PECh. 4.6 - Prob. 94PECh. 4.6 - Prob. 95PECh. 4.6 - Prob. 96PECh. 4.6 - Prob. 97PECh. 4.6 - Prob. 98PECh. 4.6 - Prob. 99PECh. 4.6 - Prob. 100PECh. 4.6 - Prob. 101PECh. 4.6 - Prob. 102PECh. 4.6 - Prob. 103PECh. 4.6 - Prob. 104PECh. 4.6 - For polynomial ay+ax5cy5cx , factor completely by...Ch. 4.6 - Prob. 106PECh. 4.6 - Prob. 107PECh. 4.6 - Prob. 108PECh. 4.6 - Prob. 109PECh. 4.6 - Prob. 110PECh. 4.6 - Prob. 111PECh. 4.6 - Prob. 112PECh. 4.6 - Prob. 113PECh. 4.6 - Prob. 114PECh. 4.7 - Prob. 1PECh. 4.7 - Prob. 2PECh. 4.7 - Prob. 3PECh. 4.7 - Prob. 4PECh. 4.7 - Prob. 5PECh. 4.7 - Prob. 6PECh. 4.7 - Prob. 7PECh. 4.7 - Prob. 8PECh. 4.7 - Prob. 9PECh. 4.7 - Prob. 10PECh. 4.7 - Prob. 11PECh. 4.7 - Prob. 12PECh. 4.7 - Prob. 13PECh. 4.7 - Prob. 14PECh. 4.7 - Prob. 15PECh. 4.7 - Prob. 16PECh. 4.7 - Prob. 17PECh. 4.7 - Prob. 18PECh. 4.7 - Prob. 19PECh. 4.7 - Prob. 20PECh. 4.7 - Prob. 21PECh. 4.7 - Prob. 22PECh. 4.7 - Prob. 23PECh. 4.7 - Prob. 24PECh. 4.7 - Prob. 25PECh. 4.7 - Prob. 26PECh. 4.7 - Prob. 27PECh. 4.7 - Prob. 28PECh. 4.7 - Prob. 29PECh. 4.7 - Prob. 30PECh. 4.7 - Prob. 31PECh. 4.7 - Prob. 32PECh. 4.7 - Prob. 33PECh. 4.7 - Prob. 34PECh. 4.7 - Prob. 35PECh. 4.7 - Prob. 36PECh. 4.7 - Prob. 37PECh. 4.7 - Prob. 38PECh. 4.7 - Prob. 39PECh. 4.7 - Prob. 40PECh. 4.7 - Prob. 41PECh. 4.7 - Prob. 42PECh. 4.7 - Prob. 43PECh. 4.7 - Prob. 44PECh. 4.7 - Prob. 45PECh. 4.7 - Prob. 46PECh. 4.7 - Prob. 47PECh. 4.7 - Prob. 48PECh. 4.7 - Prob. 49PECh. 4.7 - Prob. 50PECh. 4.7 - Prob. 51PECh. 4.7 - Prob. 52PECh. 4.7 - Prob. 53PECh. 4.7 - Prob. 54PECh. 4.7 - Prob. 55PECh. 4.7 - Prob. 56PECh. 4.7 - Prob. 57PECh. 4.7 - Prob. 58PECh. 4.7 - Prob. 59PECh. 4.7 - Prob. 60PECh. 4.7 - Prob. 61PECh. 4.7 - Prob. 62PECh. 4.7 - Prob. 63PECh. 4.7 - Prob. 64PECh. 4.7 - Prob. 65PECh. 4.7 - Prob. 66PECh. 4.7 - Prob. 67PECh. 4.7 - Prob. 68PECh. 4.7 - Prob. 69PECh. 4.7 - Prob. 70PECh. 4.7 - Prob. 71PECh. 4.7 - Prob. 72PECh. 4.7 - Prob. 73PECh. 4.7 - Prob. 74PECh. 4.7 - Prob. 75PECh. 4.7 - Prob. 76PECh. 4.7 - Prob. 77PECh. 4.7 - Prob. 78PECh. 4.7 - Prob. 79PECh. 4.7 - Prob. 80PECh. 4.7 - Prob. 81PECh. 4.7 - Prob. 82PECh. 4.7 - Prob. 83PECh. 4.7 - Prob. 84PECh. 4.7 - Prob. 85PECh. 4.7 - Prob. 86PECh. 4.7 - Prob. 87PECh. 4.7 - Prob. 88PECh. 4.7 - Prob. 89PECh. 4.7 - Prob. 90PECh. 4.7 - Prob. 91PECh. 4.7 - Prob. 92PECh. 4.7 - Prob. 93PECh. 4.7 - Prob. 94PECh. 4.7 - Prob. 95PECh. 4.7 - Prob. 96PECh. 4.7 - Prob. 97PECh. 4.7 - Prob. 98PECh. 4.7 - Prob. 99PECh. 4.7 - Prob. 100PECh. 4.7 - Prob. 101PECh. 4.7 - Prob. 102PECh. 4.7 - Prob. 1PRECh. 4.7 - Prob. 2PRECh. 4.7 - Prob. 3PRECh. 4.7 - Prob. 4PRECh. 4.7 - Prob. 5PRECh. 4.7 - Prob. 6PRECh. 4.7 - Prob. 7PRECh. 4.7 - Prob. 8PRECh. 4.7 - Prob. 9PRECh. 4.7 - Prob. 10PRECh. 4.7 - Prob. 11PRECh. 4.7 - Prob. 12PRECh. 4.7 - Prob. 13PRECh. 4.7 - Prob. 14PRECh. 4.7 - Prob. 15PRECh. 4.7 - Prob. 16PRECh. 4.7 - Prob. 17PRECh. 4.7 - Prob. 18PRECh. 4.7 - Prob. 19PRECh. 4.7 - Prob. 20PRECh. 4.7 - Prob. 21PRECh. 4.7 - Prob. 22PRECh. 4.7 - Prob. 23PRECh. 4.7 - Prob. 24PRECh. 4.7 - Prob. 25PRECh. 4.7 - Prob. 26PRECh. 4.7 - Prob. 27PRECh. 4.7 - Prob. 28PRECh. 4.7 - Prob. 29PRECh. 4.7 - Prob. 30PRECh. 4.7 - Prob. 31PRECh. 4.7 - Prob. 32PRECh. 4.7 - Prob. 33PRECh. 4.7 - Prob. 34PRECh. 4.7 - Prob. 35PRECh. 4.7 - Prob. 36PRECh. 4.7 - Prob. 37PRECh. 4.7 - Prob. 38PRECh. 4.7 - Prob. 39PRECh. 4.7 - Prob. 40PRECh. 4.7 - Prob. 41PRECh. 4.7 - Prob. 42PRECh. 4.7 - Prob. 43PRECh. 4.7 - Prob. 44PRECh. 4.7 - Prob. 45PRECh. 4.7 - Prob. 46PRECh. 4.7 - Prob. 47PRECh. 4.7 - Prob. 48PRECh. 4.7 - Prob. 49PRECh. 4.7 - Prob. 50PRECh. 4.7 - Prob. 51PRECh. 4.7 - Prob. 52PRECh. 4.7 - Prob. 53PRECh. 4.7 - Prob. 54PRECh. 4.7 - Prob. 55PRECh. 4.7 - Prob. 56PRECh. 4.7 - Prob. 57PRECh. 4.7 - Prob. 58PRECh. 4.7 - Prob. 59PRECh. 4.7 - Prob. 60PRECh. 4.7 - Prob. 61PRECh. 4.7 - Prob. 62PRECh. 4.7 - Prob. 63PRECh. 4.7 - Prob. 64PRECh. 4.7 - Prob. 65PRECh. 4.7 - Prob. 66PRECh. 4.7 - Prob. 67PRECh. 4.7 - Prob. 68PRECh. 4.7 - Prob. 69PRECh. 4.7 - Prob. 70PRECh. 4.7 - Prob. 71PRECh. 4.7 - Prob. 72PRECh. 4.7 - Prob. 73PRECh. 4.7 - Prob. 74PRECh. 4.7 - Prob. 75PRECh. 4.7 - Prob. 76PRECh. 4.7 - Prob. 77PRECh. 4.7 - Prob. 78PRECh. 4.7 - Prob. 79PRECh. 4.7 - Prob. 80PRECh. 4.7 - Prob. 81PRECh. 4.7 - Prob. 82PRECh. 4.7 - Prob. 83PRECh. 4.7 - Prob. 84PRECh. 4.7 - Prob. 85PRECh. 4.7 - Prob. 86PRECh. 4.7 - Prob. 87PRECh. 4.7 - Prob. 88PRECh. 4.7 - Prob. 89PRECh. 4.7 - Prob. 90PRECh. 4.7 - Prob. 91PRECh. 4.7 - Prob. 92PRECh. 4.7 - Prob. 93PRECh. 4.7 - Prob. 94PRECh. 4.7 - Prob. 95PRECh. 4.7 - Prob. 96PRECh. 4.7 - Prob. 97PRECh. 4.7 - Prob. 98PRECh. 4.7 - Prob. 99PRECh. 4.7 - Prob. 100PRECh. 4.7 - Prob. 101PRECh. 4.8 - a. An equation that can be written in the form...Ch. 4.8 - Write the factored form for each binomial, if...Ch. 4.8 - For Exercises 3-8, factor completely. 3. 10x2+3xCh. 4.8 - For Exercises 3-8, factor completely. 4. 7x228Ch. 4.8 - For Exercises 3-8, factor completely. 5. 2p29p5Ch. 4.8 - For Exercises 3-8, factor completely. 6. 3q24q4Ch. 4.8 - Prob. 7PECh. 4.8 - For Exercises 3-8, factor completely. 8. z211z+30Ch. 4.8 - What conditions are necessary to solve an equation...Ch. 4.8 - State the zero product rule.Ch. 4.8 - Prob. 11PECh. 4.8 - Prob. 12PECh. 4.8 - Prob. 13PECh. 4.8 - Prob. 14PECh. 4.8 - For Exercises 11-16, determine which of the...Ch. 4.8 - Prob. 16PECh. 4.8 - Prob. 17PECh. 4.8 - Prob. 18PECh. 4.8 - Prob. 19PECh. 4.8 - For Exercises 17-20, factor the polynomial or...Ch. 4.8 - Prob. 21PECh. 4.8 - Prob. 22PECh. 4.8 - Prob. 23PECh. 4.8 - Prob. 24PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 26PECh. 4.8 - Prob. 27PECh. 4.8 - Prob. 28PECh. 4.8 - Prob. 29PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 31PECh. 4.8 - Prob. 32PECh. 4.8 - Prob. 33PECh. 4.8 - Prob. 34PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 36PECh. 4.8 - Prob. 37PECh. 4.8 - Prob. 38PECh. 4.8 - Prob. 39PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 41PECh. 4.8 - Prob. 42PECh. 4.8 - Prob. 43PECh. 4.8 - Prob. 44PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 46PECh. 4.8 - Prob. 47PECh. 4.8 - Prob. 48PECh. 4.8 - Prob. 49PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 51PECh. 4.8 - Prob. 52PECh. 4.8 - Prob. 53PECh. 4.8 - Prob. 54PECh. 4.8 - For Exercises 21-56, solve the equation.(See...Ch. 4.8 - Prob. 56PECh. 4.8 - Prob. 57PECh. 4.8 - Prob. 58PECh. 4.8 - Prob. 59PECh. 4.8 - The square of a number is equal to 20 more than...Ch. 4.8 - Prob. 61PECh. 4.8 - Prob. 62PECh. 4.8 - Prob. 63PECh. 4.8 - Prob. 64PECh. 4.8 - A rectangular pen has an area 32ft2. If the width...Ch. 4.8 - Prob. 66PECh. 4.8 - Prob. 67PECh. 4.8 - Prob. 68PECh. 4.8 - Prob. 69PECh. 4.8 - The base of a triangle is 2 cm more than the...Ch. 4.8 - Prob. 71PECh. 4.8 - Prob. 72PECh. 4.8 - Prob. 73PECh. 4.8 - Prob. 74PECh. 4.8 - Justin must travel Summersville to Clayton. He can...Ch. 4.8 - Prob. 76PECh. 4.8 - Prob. 77PECh. 4.8 - Prob. 78PECh. 4.8 - Prob. 79PECh. 4.8 - Determine the length of the radius of a circle...Ch. 4.8 - Prob. 81PECh. 4.8 - Prob. 82PECh. 4.8 - Prob. 83PECh. 4.8 - Prob. 84PECh. 4.8 - For exercises 85-88, find the x and y intercepts...Ch. 4.8 - Prob. 86PECh. 4.8 - Prob. 87PECh. 4.8 - Prob. 88PECh. 4.8 - Prob. 89PECh. 4.8 - For exercises 89-92, find the x intercepts of each...Ch. 4.8 - Prob. 91PECh. 4.8 - Prob. 92PECh. 4.8 - Prob. 93PECh. 4.8 - A company makes water purification systems. The...Ch. 4.8 - For Exercises 95-100, Factor the expressions...Ch. 4.8 - Prob. 96PECh. 4.8 - Prob. 97PECh. 4.8 - Prob. 98PECh. 4.8 - Prob. 99PECh. 4.8 - For Exercises 95-100, Factor the expressions...Ch. 4.8 - Prob. 101PECh. 4.8 - Prob. 102PECh. 4.8 - Prob. 103PECh. 4.8 - Prob. 104PECh. 4.8 - Prob. 105PECh. 4.8 - Prob. 106PECh. 4.8 - Prob. 107PECh. 4.8 - Prob. 108PECh. 4.8 - Prob. 109PECh. 4.8 - Prob. 110PECh. 4.8 - Prob. 111PECh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Prob. 10CRECh. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Prob. 15CRECh. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRECh. 4 - Prob. 21CRECh. 4 - Prob. 22CRECh. 4 - Prob. 23CRECh. 4 - Prob. 24CRECh. 4 - Prob. 25CRECh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - Prob. 91RECh. 4 - Prob. 92RECh. 4 - Prob. 93RECh. 4 - Prob. 94RECh. 4 - Prob. 95RECh. 4 - Prob. 96RECh. 4 - Prob. 97RECh. 4 - Prob. 98RECh. 4 - Prob. 99RECh. 4 - Prob. 100RECh. 4 - Prob. 101RECh. 4 - Prob. 102RECh. 4 - Prob. 103RECh. 4 - Prob. 104RECh. 4 - Prob. 105RECh. 4 - Prob. 106RECh. 4 - Prob. 107RECh. 4 - Prob. 108RECh. 4 - Prob. 109RECh. 4 - Prob. 110RECh. 4 - Prob. 111RECh. 4 - Prob. 112RECh. 4 - Prob. 113RECh. 4 - Prob. 114RECh. 4 - Prob. 115RECh. 4 - Prob. 116RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - For the function defined by F(x)=5x32x2+8 , find...Ch. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 28TCh. 4 - Prob. 29TCh. 4 - Prob. 30TCh. 4 - Prob. 31TCh. 4 - Prob. 32TCh. 4 - Prob. 33TCh. 4 - Prob. 34TCh. 4 - Prob. 35TCh. 4 - Prob. 36TCh. 4 - Prob. 37TCh. 4 - Prob. 38TCh. 4 - A child launches a toy rocket from the ground ,...Ch. 4 - Prob. 40TCh. 4 - Prob. 41TCh. 4 - Prob. 42TCh. 4 - Prob. 43TCh. 4 - Prob. 44TCh. 4 - Prob. 1GACh. 4 - Prob. 2GACh. 4 - Prob. 3GACh. 4 - Prob. 4GACh. 4 - Prob. 5GACh. 4 - Prob. 6GA
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