College Algebra
3rd Edition
ISBN: 9780321912787
Author: Ratti, J. S., Mcwaters, Marcus
Publisher: Pearson,
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Textbook Question
Chapter 1.1, Problem 9E
In Exercises 9—13, determine whether the given value of the variable is a solution of the equation.
11.
a.
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Students have asked these similar questions
In Exercises 59–64, solve and check each linear equation.
59. 2x – 5 = 7
60. 5x + 20 = 3x
61. 7(x – 4) = x + 2
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63. 2(x – 4) + 3(x + 5) = 2x – 2
64. 2x
4(5x + 1) = 3x + 17
Exercises 38–40 will help you prepare for the material covered in
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In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
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40. The figures show the graphs of two functions.
y
y
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flx) = x³
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Chapter 1 Solutions
College Algebra
Ch. 1.1 - The domain of the variable in an equation is the...Ch. 1.1 - Standard form for a linear equation in x is...Ch. 1.1 - Two equations with the same solution set are...Ch. 1.1 - Prob. 4ECh. 1.1 - Prob. 5ECh. 1.1 - Prob. 6ECh. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - In Exercises 9—13, determine whether the given...Ch. 1.1 - Prob. 10E
Ch. 1.1 - Prob. 11ECh. 1.1 - Prob. 12ECh. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - In Exercises 19—22, determine whether the given...Ch. 1.1 - Prob. 20ECh. 1.1 - Prob. 21ECh. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Prob. 37ECh. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Prob. 60ECh. 1.1 - Prob. 61ECh. 1.1 - Prob. 62ECh. 1.1 - Prob. 63ECh. 1.1 - Hole dimensions. If a box-shaped hole 7 feet long...Ch. 1.1 - Geometry. The perimeter of a rectangle is 80 feet....Ch. 1.1 - Prob. 66ECh. 1.1 - Prob. 67ECh. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - Prob. 71ECh. 1.1 - Prob. 72ECh. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.1 - Prob. 76ECh. 1.1 - Prob. 77ECh. 1.1 - Prob. 78ECh. 1.1 - Prob. 79ECh. 1.1 - Prob. 80ECh. 1.1 - Prob. 81ECh. 1.1 - Prob. 82ECh. 1.1 - Prob. 83ECh. 1.1 - Prob. 84ECh. 1.1 - Prob. 85ECh. 1.1 - Prob. 86ECh. 1.1 - Prob. 87ECh. 1.1 - Prob. 88ECh. 1.1 - Prob. 89ECh. 1.1 - Prob. 90ECh. 1.1 - Prob. 91ECh. 1.1 - Prob. 92ECh. 1.1 - Prob. 93ECh. 1.1 - Prob. 94ECh. 1.1 - Prob. 95ECh. 1.1 - Prob. 96ECh. 1.1 - Prob. 97ECh. 1.1 - Prob. 98ECh. 1.1 - Prob. 99ECh. 1.1 - Prob. 100ECh. 1.1 - Prob. 101ECh. 1.1 - Prob. 102ECh. 1.1 - Prob. 103ECh. 1.1 - Prob. 104ECh. 1.1 - Prob. 105ECh. 1.1 - Prob. 106ECh. 1.1 - Prob. 107ECh. 1.1 - Prob. 108ECh. 1.1 - Prob. 109ECh. 1.1 - Prob. 110ECh. 1.1 - Prob. 111ECh. 1.1 - Prob. 112ECh. 1.1 - Prob. 113ECh. 1.1 - Prob. 114ECh. 1.1 - Prob. 115ECh. 1.1 - Prob. 116ECh. 1.1 - Prob. 117ECh. 1.1 - Prob. 118ECh. 1.1 - Prob. 119ECh. 1.1 - Prob. 120ECh. 1.1 - Prob. 121ECh. 1.1 - Prob. 122ECh. 1.1 - Prob. 123ECh. 1.1 - Prob. 124ECh. 1.1 - Prob. 125ECh. 1.1 - Prob. 126ECh. 1.1 - Prob. 127ECh. 1.1 - Prob. 128ECh. 1.1 - Prob. 129ECh. 1.1 - Prob. 130ECh. 1.1 - Prob. 131ECh. 1.1 - Prob. 132ECh. 1.2 - Any equation of the form ax2+bx+c=0 with a0 is...Ch. 1.2 - Prob. 2ECh. 1.2 - From the square root property, we know that if...Ch. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - Prob. 6ECh. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - Prob. 25ECh. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - In Exercises 25—30, solve each equation by the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 31—40, add a constant term to the...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 41—46, solve each equation by...Ch. 1.2 - In Exercises 47—52, solve each equation by using...Ch. 1.2 - In Exercises 47—52, solve each equation by using...Ch. 1.2 - In Exercises 47—52, solve each equation by using...Ch. 1.2 - In Exercises 47—52, solve each equation by using...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - Prob. 53ECh. 1.2 - Prob. 54ECh. 1.2 - In Exercises 53—78, sole each equation by any...Ch. 1.2 - Prob. 56ECh. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - In Exercises 53—78, sole each equation by any...Ch. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - Prob. 79ECh. 1.2 - Prob. 80ECh. 1.2 - Prob. 81ECh. 1.2 - Dimensions. The diagonal of a square tile is 4...Ch. 1.2 - Prob. 83ECh. 1.2 - Prob. 84ECh. 1.2 - Prob. 85ECh. 1.2 - Prob. 86ECh. 1.2 - Prob. 87ECh. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - Prob. 91ECh. 1.2 - Prob. 92ECh. 1.2 - Prob. 93ECh. 1.2 - Making a box. A 2-inch square is cut from each...Ch. 1.2 - Prob. 95ECh. 1.2 - Prob. 96ECh. 1.2 - Prob. 97ECh. 1.2 - Prob. 98ECh. 1.2 - Prob. 99ECh. 1.2 - Prob. 100ECh. 1.2 - Prob. 101ECh. 1.2 - Prob. 102ECh. 1.2 - Prob. 103ECh. 1.2 - Prob. 104ECh. 1.2 - Prob. 105ECh. 1.2 - Prob. 106ECh. 1.2 - Prob. 107ECh. 1.2 - Prob. 108ECh. 1.2 - Prob. 109ECh. 1.2 - Prob. 110ECh. 1.2 - Prob. 111ECh. 1.2 - Prob. 112ECh. 1.2 - Prob. 113ECh. 1.2 - Prob. 114ECh. 1.2 - Prob. 115ECh. 1.2 - Prob. 116ECh. 1.2 - Prob. 117ECh. 1.2 - Prob. 118ECh. 1.2 - Prob. 119ECh. 1.2 - Prob. 120ECh. 1.2 - Prob. 121ECh. 1.2 - Prob. 122ECh. 1.2 - Prob. 123ECh. 1.2 - Prob. 124ECh. 1.2 - Prob. 125ECh. 1.2 - Prob. 126ECh. 1.2 - Prob. 127ECh. 1.2 - Prob. 128ECh. 1.2 - Prob. 129ECh. 1.2 - Prob. 130ECh. 1.2 - Prob. 131ECh. 1.2 - Prob. 132ECh. 1.2 - Prob. 133ECh. 1.2 - Prob. 134ECh. 1.2 - Prob. 135ECh. 1.2 - Prob. 136ECh. 1.2 - Prob. 137ECh. 1.2 - Prob. 138ECh. 1.2 - Prob. 139ECh. 1.2 - Prob. 140ECh. 1.2 - Prob. 141ECh. 1.2 - Prob. 142ECh. 1.2 - Prob. 143ECh. 1.2 - Prob. 144ECh. 1.2 - Prob. 145ECh. 1.2 - Prob. 146ECh. 1.2 - Prob. 147ECh. 1.3 - We define i = ________ that i2 = ___________.Ch. 1.3 - Prob. 2ECh. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - True or False. The product of a complex number and...Ch. 1.3 - Prob. 6ECh. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - In Exercises 9—32, perform each operation and...Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - In Exercises 9—32, perform each operation and...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Prob. 55ECh. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1.3 - Prob. 59ECh. 1.3 - Prob. 60ECh. 1.3 - In Exercises 53—62, solve each equation. 59....Ch. 1.3 - Prob. 62ECh. 1.3 - Prob. 63ECh. 1.3 - Prob. 64ECh. 1.3 - Prob. 65ECh. 1.3 - Prob. 66ECh. 1.3 - Prob. 67ECh. 1.3 - Prob. 68ECh. 1.3 - Prob. 69ECh. 1.3 - Prob. 70ECh. 1.3 - Prob. 71ECh. 1.3 - Prob. 72ECh. 1.3 - Prob. 73ECh. 1.3 - Prob. 74ECh. 1.3 - Prob. 75ECh. 1.3 - In Exercises 71—80, find each power of j and...Ch. 1.3 - Prob. 77ECh. 1.3 - Prob. 78ECh. 1.3 - Prob. 79ECh. 1.3 - Prob. 80ECh. 1.3 - Prob. 81ECh. 1.3 - Prob. 82ECh. 1.3 - Prob. 83ECh. 1.3 - Prob. 84ECh. 1.3 - Prob. 85ECh. 1.3 - Prob. 86ECh. 1.3 - Prob. 87ECh. 1.3 - Prob. 88ECh. 1.3 - Prob. 89ECh. 1.3 - Prob. 90ECh. 1.3 - Prob. 91ECh. 1.3 - Prob. 92ECh. 1.3 - Prob. 93ECh. 1.3 - Prob. 94ECh. 1.3 - Prob. 95ECh. 1.3 - Prob. 96ECh. 1.3 - Prob. 97ECh. 1.3 - Prob. 98ECh. 1.3 - Prob. 99ECh. 1.3 - Prob. 100ECh. 1.3 - Prob. 101ECh. 1.3 - Prob. 102ECh. 1.3 - Prob. 103ECh. 1.3 - Prob. 104ECh. 1.3 - Prob. 105ECh. 1.3 - Prob. 106ECh. 1.3 - Prob. 107ECh. 1.3 - Prob. 108ECh. 1.3 - Prob. 109ECh. 1.3 - Prob. 110ECh. 1.3 - Prob. 111ECh. 1.3 - Prob. 112ECh. 1.3 - Prob. 113ECh. 1.3 - Prob. 114ECh. 1.4 - If an apparent solution does not satisfy the...Ch. 1.4 - Prob. 2ECh. 1.4 - Prob. 3ECh. 1.4 - Prob. 4ECh. 1.4 - Prob. 5ECh. 1.4 - Prob. 6ECh. 1.4 - In Exercises 9—18, find the real solutions of each...Ch. 1.4 - Prob. 8ECh. 1.4 - Prob. 9ECh. 1.4 - In Exercises 9—18, find the real solutions of each...Ch. 1.4 - Prob. 11ECh. 1.4 - Prob. 12ECh. 1.4 - In Exercises 9—18, find the real solutions of each...Ch. 1.4 - In Exercises 9—18, find the real solutions of each...Ch. 1.4 - In Exercises 9—18, find the real solutions of each...Ch. 1.4 - Prob. 16ECh. 1.4 - Prob. 17ECh. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - Prob. 19ECh. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - Prob. 23ECh. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - In Exercises 19—28, solve each equation by...Ch. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Prob. 29ECh. 1.4 - Prob. 30ECh. 1.4 - In Exercises 29—36, solve each equation. Check...Ch. 1.4 - Prob. 32ECh. 1.4 - Prob. 33ECh. 1.4 - In Exercises 29—36, solve each equation. Check...Ch. 1.4 - Prob. 35ECh. 1.4 - Prob. 36ECh. 1.4 - Prob. 37ECh. 1.4 - Prob. 38ECh. 1.4 - Prob. 39ECh. 1.4 - Prob. 40ECh. 1.4 - Prob. 41ECh. 1.4 - In Exercises 37—58, solve each equation. Check...Ch. 1.4 - Prob. 43ECh. 1.4 - Prob. 44ECh. 1.4 - Prob. 45ECh. 1.4 - Prob. 46ECh. 1.4 - Prob. 47ECh. 1.4 - Prob. 48ECh. 1.4 - Prob. 49ECh. 1.4 - Prob. 50ECh. 1.4 - Prob. 51ECh. 1.4 - Prob. 52ECh. 1.4 - Prob. 53ECh. 1.4 - Prob. 54ECh. 1.4 - Prob. 55ECh. 1.4 - Prob. 56ECh. 1.4 - Prob. 57ECh. 1.4 - Prob. 58ECh. 1.4 - Prob. 59ECh. 1.4 - Prob. 60ECh. 1.4 - Prob. 61ECh. 1.4 - Prob. 62ECh. 1.4 - Prob. 63ECh. 1.4 - Prob. 64ECh. 1.4 - Prob. 65ECh. 1.4 - Prob. 66ECh. 1.4 - Prob. 67ECh. 1.4 - Prob. 68ECh. 1.4 - Prob. 69ECh. 1.4 - Prob. 70ECh. 1.4 - Prob. 71ECh. 1.4 - Prob. 72ECh. 1.4 - Prob. 73ECh. 1.4 - Prob. 74ECh. 1.4 - Prob. 75ECh. 1.4 - Prob. 76ECh. 1.4 - Prob. 77ECh. 1.4 - Prob. 78ECh. 1.4 - Prob. 79ECh. 1.4 - Prob. 80ECh. 1.4 - Prob. 81ECh. 1.4 - Prob. 82ECh. 1.4 - Prob. 83ECh. 1.4 - Prob. 84ECh. 1.4 - Prob. 85ECh. 1.4 - Prob. 86ECh. 1.4 - Prob. 87ECh. 1.4 - Bus charter. A civic club charters a bus for one...Ch. 1.4 - Prob. 89ECh. 1.4 - Estimating the horizon. You are in a hot air...Ch. 1.4 - Prob. 91ECh. 1.4 - Prob. 92ECh. 1.4 - Prob. 93ECh. 1.4 - Prob. 94ECh. 1.4 - Prob. 95ECh. 1.4 - Emergency at sea. You are at sea in your motorboat...Ch. 1.4 - Prob. 97ECh. 1.4 - Prob. 98ECh. 1.4 - Prob. 99ECh. 1.4 - Prob. 100ECh. 1.4 - Prob. 101ECh. 1.4 - Prob. 102ECh. 1.4 - Prob. 103ECh. 1.4 - Prob. 104ECh. 1.4 - Prob. 105ECh. 1.4 - Prob. 106ECh. 1.4 - Prob. 107ECh. 1.4 - Prob. 108ECh. 1.4 - Prob. 109ECh. 1.4 - Prob. 110ECh. 1.4 - Prob. 111ECh. 1.4 - Prob. 112ECh. 1.4 - Prob. 113ECh. 1.4 - Prob. 114ECh. 1.4 - Prob. 115ECh. 1.4 - Prob. 116ECh. 1.4 - Prob. 117ECh. 1.4 - Prob. 118ECh. 1.4 - Prob. 119ECh. 1.4 - Prob. 120ECh. 1.4 - Prob. 121ECh. 1.4 - Prob. 122ECh. 1.4 - Prob. 123ECh. 1.4 - Prob. 124ECh. 1.4 - Prob. 125ECh. 1.4 - Prob. 126ECh. 1.4 - Prob. 127ECh. 1.4 - Prob. 128ECh. 1.4 - Prob. 129ECh. 1.4 - Prob. 130ECh. 1.4 - Prob. 131ECh. 1.4 - Prob. 132ECh. 1.4 - Prob. 133ECh. 1.4 - Prob. 134ECh. 1.4 - Prob. 135ECh. 1.4 - Prob. 136ECh. 1.5 - In Exercises 1—4, fill in the blank with the...Ch. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 7ECh. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - In Exercises 9—18, graph the solution set of each...Ch. 1.5 - In Exercises 9—18, graph the solution set of each...Ch. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 31ECh. 1.5 - Prob. 32ECh. 1.5 - In Exercises 19—40, solve each inequality. Write...Ch. 1.5 - Prob. 34ECh. 1.5 - Prob. 35ECh. 1.5 - Prob. 36ECh. 1.5 - Prob. 37ECh. 1.5 - Prob. 38ECh. 1.5 - Prob. 39ECh. 1.5 - Prob. 40ECh. 1.5 - Prob. 41ECh. 1.5 - Prob. 42ECh. 1.5 - Prob. 43ECh. 1.5 - In Exercises 41—50, solve each rational...Ch. 1.5 - Prob. 45ECh. 1.5 - Prob. 46ECh. 1.5 - Prob. 47ECh. 1.5 - Prob. 48ECh. 1.5 - Prob. 49ECh. 1.5 - Prob. 50ECh. 1.5 - Prob. 51ECh. 1.5 - Prob. 52ECh. 1.5 - Prob. 53ECh. 1.5 - Prob. 54ECh. 1.5 - Prob. 55ECh. 1.5 - Prob. 56ECh. 1.5 - Prob. 57ECh. 1.5 - Prob. 58ECh. 1.5 - Prob. 59ECh. 1.5 - Prob. 60ECh. 1.5 - Prob. 61ECh. 1.5 - Prob. 62ECh. 1.5 - Prob. 63ECh. 1.5 - Prob. 64ECh. 1.5 - Prob. 65ECh. 1.5 - Prob. 66ECh. 1.5 - Prob. 67ECh. 1.5 - Prob. 68ECh. 1.5 - In Exercises 67—78. solve each compound...Ch. 1.5 - Prob. 70ECh. 1.5 - Prob. 71ECh. 1.5 - Prob. 72ECh. 1.5 - Prob. 73ECh. 1.5 - Prob. 74ECh. 1.5 - Prob. 75ECh. 1.5 - Prob. 76ECh. 1.5 - In Exercises 67—78. solve each compound...Ch. 1.5 - Prob. 78ECh. 1.5 - Prob. 79ECh. 1.5 - Prob. 80ECh. 1.5 - Prob. 81ECh. 1.5 - Prob. 82ECh. 1.5 - Prob. 83ECh. 1.5 - Prob. 84ECh. 1.5 - Prob. 85ECh. 1.5 - Prob. 86ECh. 1.5 - Prob. 87ECh. 1.5 - In Exercises 85—100, use the test-point method to...Ch. 1.5 - Prob. 89ECh. 1.5 - In Exercises 85—100, use the test-point method to...Ch. 1.5 - Prob. 91ECh. 1.5 - Prob. 92ECh. 1.5 - Prob. 93ECh. 1.5 - Prob. 94ECh. 1.5 - Prob. 95ECh. 1.5 - Prob. 96ECh. 1.5 - Prob. 97ECh. 1.5 - In Exercises 85—100, use the test-point method to...Ch. 1.5 - Prob. 99ECh. 1.5 - Prob. 100ECh. 1.5 - Prob. 101ECh. 1.5 - Prob. 102ECh. 1.5 - Prob. 103ECh. 1.5 - Prob. 104ECh. 1.5 - Prob. 105ECh. 1.5 - In Exercises 101—120, solve each rational...Ch. 1.5 - Prob. 107ECh. 1.5 - Prob. 108ECh. 1.5 - Prob. 109ECh. 1.5 - Prob. 110ECh. 1.5 - Prob. 111ECh. 1.5 - Prob. 112ECh. 1.5 - Prob. 113ECh. 1.5 - Prob. 114ECh. 1.5 - Prob. 115ECh. 1.5 - Prob. 116ECh. 1.5 - Prob. 117ECh. 1.5 - Prob. 118ECh. 1.5 - Prob. 119ECh. 1.5 - Prob. 120ECh. 1.5 - Prob. 121ECh. 1.5 - Prob. 122ECh. 1.5 - Prob. 123ECh. 1.5 - Prob. 124ECh. 1.5 - Prob. 125ECh. 1.5 - Prob. 126ECh. 1.5 - Prob. 127ECh. 1.5 - Prob. 128ECh. 1.5 - Prob. 129ECh. 1.5 - Prob. 130ECh. 1.5 - Prob. 131ECh. 1.5 - Prob. 132ECh. 1.5 - Prob. 133ECh. 1.5 - Prob. 134ECh. 1.5 - Prob. 135ECh. 1.5 - Prob. 136ECh. 1.5 - Prob. 137ECh. 1.5 - Prob. 138ECh. 1.5 - Prob. 139ECh. 1.5 - Prob. 140ECh. 1.5 - Prob. 141ECh. 1.5 - Prob. 142ECh. 1.5 - Prob. 143ECh. 1.5 - Prob. 144ECh. 1.5 - Prob. 145ECh. 1.5 - Prob. 146ECh. 1.5 - Prob. 147ECh. 1.5 - Prob. 148ECh. 1.5 - Prob. 149ECh. 1.5 - Prob. 150ECh. 1.5 - Prob. 151ECh. 1.5 - Prob. 152ECh. 1.5 - Prob. 153ECh. 1.5 - Prob. 154ECh. 1.5 - Prob. 155ECh. 1.5 - Prob. 156ECh. 1.5 - Prob. 157ECh. 1.5 - Prob. 158ECh. 1.5 - Prob. 159ECh. 1.5 - Prob. 160ECh. 1.6 - In Exercises 1—6, assume that a0 . 1. The solution...Ch. 1.6 - Prob. 2ECh. 1.6 - Prob. 3ECh. 1.6 - Prob. 4ECh. 1.6 - Prob. 5ECh. 1.6 - Prob. 6ECh. 1.6 - Prob. 7ECh. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - Prob. 11ECh. 1.6 - Prob. 12ECh. 1.6 - Prob. 13ECh. 1.6 - Prob. 14ECh. 1.6 - Prob. 15ECh. 1.6 - In Exercises 9—36, solve each equation. 18. 6x3=9Ch. 1.6 - Prob. 17ECh. 1.6 - Prob. 18ECh. 1.6 - Prob. 19ECh. 1.6 - Prob. 20ECh. 1.6 - Prob. 21ECh. 1.6 - Prob. 22ECh. 1.6 - Prob. 23ECh. 1.6 - Prob. 24ECh. 1.6 - Prob. 25ECh. 1.6 - Prob. 26ECh. 1.6 - Prob. 27ECh. 1.6 - Prob. 28ECh. 1.6 - Prob. 29ECh. 1.6 - Prob. 30ECh. 1.6 - Prob. 31ECh. 1.6 - Prob. 32ECh. 1.6 - Prob. 33ECh. 1.6 - Prob. 34ECh. 1.6 - Prob. 35ECh. 1.6 - Prob. 36ECh. 1.6 - Prob. 37ECh. 1.6 - Prob. 38ECh. 1.6 - Prob. 39ECh. 1.6 - Prob. 40ECh. 1.6 - Prob. 41ECh. 1.6 - Prob. 42ECh. 1.6 - Prob. 43ECh. 1.6 - Prob. 44ECh. 1.6 - Prob. 45ECh. 1.6 - Prob. 46ECh. 1.6 - Prob. 47ECh. 1.6 - Prob. 48ECh. 1.6 - In Exerciese 47-62, solve each inequality. 51....Ch. 1.6 - Prob. 50ECh. 1.6 - Prob. 51ECh. 1.6 - In Exerciese 47-62, solve each inequality. 54....Ch. 1.6 - Prob. 53ECh. 1.6 - Prob. 54ECh. 1.6 - Prob. 55ECh. 1.6 - Prob. 56ECh. 1.6 - In Exerciese 47-62, solve each inequality. 59....Ch. 1.6 - Prob. 58ECh. 1.6 - Prob. 59ECh. 1.6 - Prob. 60ECh. 1.6 - Prob. 61ECh. 1.6 - Prob. 62ECh. 1.6 - Prob. 63ECh. 1.6 - In Exercises 63—72, solve each inequality. 66....Ch. 1.6 - Prob. 65ECh. 1.6 - Prob. 66ECh. 1.6 - In Exercises 63—72, solve each inequality. 69....Ch. 1.6 - Prob. 68ECh. 1.6 - Prob. 69ECh. 1.6 - Prob. 70ECh. 1.6 - Prob. 71ECh. 1.6 - Prob. 72ECh. 1.6 - Prob. 73ECh. 1.6 - Prob. 74ECh. 1.6 - Prob. 75ECh. 1.6 - Prob. 76ECh. 1.6 - Prob. 77ECh. 1.6 - Prob. 78ECh. 1.6 - Prob. 79ECh. 1.6 - Prob. 80ECh. 1.6 - Prob. 81ECh. 1.6 - Prob. 82ECh. 1.6 - Prob. 83ECh. 1.6 - Prob. 84ECh. 1.6 - Prob. 85ECh. 1.6 - Prob. 86ECh. 1.6 - Prob. 87ECh. 1.6 - Prob. 88ECh. 1.6 - Prob. 89ECh. 1.6 - Prob. 90ECh. 1.6 - Prob. 91ECh. 1.6 - Prob. 92ECh. 1.6 - Prob. 93ECh. 1.6 - Prob. 94ECh. 1.6 - Prob. 95ECh. 1.6 - Prob. 96ECh. 1.6 - Prob. 97ECh. 1.6 - Prob. 98ECh. 1.6 - Prob. 99ECh. 1.6 - Prob. 100ECh. 1.6 - Prob. 101ECh. 1.6 - Prob. 102ECh. 1.6 - Varying temperatures. The weather forecast...Ch. 1.6 - Prob. 104ECh. 1.6 - Prob. 105ECh. 1.6 - Prob. 106ECh. 1.6 - Prob. 107ECh. 1.6 - Prob. 108ECh. 1.6 - Prob. 109ECh. 1.6 - Prob. 110ECh. 1.6 - Prob. 111ECh. 1.6 - Prob. 112ECh. 1.6 - Prob. 113ECh. 1.6 - Prob. 114ECh. 1.6 - Prob. 115ECh. 1.6 - Prob. 116ECh. 1.6 - Prob. 117ECh. 1.6 - Prob. 118ECh. 1.6 - Prob. 119ECh. 1.6 - Prob. 120ECh. 1.6 - Prob. 121ECh. 1.6 - Prob. 122ECh. 1.6 - Prob. 123ECh. 1.6 - Prob. 124ECh. 1.6 - Prob. 125ECh. 1.6 - Prob. 126ECh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - In Exercises 1—18, solve each equation. 18....Ch. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Prob. 60RECh. 1 - Prob. 61RECh. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Prob. 64RECh. 1 - Prob. 65RECh. 1 - Prob. 66RECh. 1 - Prob. 67RECh. 1 - Prob. 68RECh. 1 - Prob. 69RECh. 1 - Prob. 70RECh. 1 - Prob. 71RECh. 1 - Prob. 72RECh. 1 - Prob. 73RECh. 1 - Prob. 74RECh. 1 - Prob. 75RECh. 1 - Prob. 76RECh. 1 - Prob. 77RECh. 1 - Prob. 78RECh. 1 - Prob. 79RECh. 1 - Prob. 80RECh. 1 - Prob. 81RECh. 1 - Prob. 82RECh. 1 - Prob. 83RECh. 1 - Prob. 84RECh. 1 - Prob. 85RECh. 1 - Prob. 86RECh. 1 - Prob. 87RECh. 1 - Prob. 88RECh. 1 - Prob. 89RECh. 1 - Prob. 90RECh. 1 - Prob. 91RECh. 1 - Prob. 92RECh. 1 - Prob. 93RECh. 1 - Prob. 94RECh. 1 - Prob. 95RECh. 1 - Prob. 96RECh. 1 - Prob. 97RECh. 1 - Prob. 98RECh. 1 - Prob. 99RECh. 1 - Prob. 100RECh. 1 - Prob. 101RECh. 1 - Prob. 102RECh. 1 - Prob. 103RECh. 1 - Prob. 104RECh. 1 - Prob. 105RECh. 1 - Prob. 106RECh. 1 - Prob. 107RECh. 1 - Prob. 108RECh. 1 - Prob. 109RECh. 1 - Prob. 110RECh. 1 - Prob. 111RECh. 1 - Prob. 112RECh. 1 - Prob. 113RECh. 1 - Prob. 114RECh. 1 - Prob. 115RECh. 1 - Prob. 116RECh. 1 - Prob. 117RECh. 1 - Prob. 118RECh. 1 - Prob. 119RECh. 1 - Prob. 120RECh. 1 - Prob. 121RECh. 1 - Prob. 122RECh. 1 - Prob. 123RECh. 1 - Prob. 124RECh. 1 - Prob. 125RECh. 1 - Prob. 126RECh. 1 - Prob. 127RECh. 1 - Prob. 128RECh. 1 - Prob. 129RECh. 1 - Prob. 1PTACh. 1 - Prob. 2PTACh. 1 - Prob. 3PTACh. 1 - Prob. 4PTACh. 1 - Prob. 5PTACh. 1 - Prob. 6PTACh. 1 - Prob. 7PTACh. 1 - Prob. 8PTACh. 1 - Prob. 9PTACh. 1 - Prob. 10PTACh. 1 - Prob. 11PTACh. 1 - Prob. 12PTACh. 1 - Prob. 13PTACh. 1 - Prob. 14PTACh. 1 - Solve the absolute value equation 13x+5=23x+7 .Ch. 1 - Prob. 16PTACh. 1 - Prob. 17PTACh. 1 - Prob. 18PTACh. 1 - Prob. 19PTACh. 1 - Prob. 20PTACh. 1 - Prob. 1PTBCh. 1 - Prob. 2PTBCh. 1 - Prob. 3PTBCh. 1 - Prob. 4PTBCh. 1 - Prob. 5PTBCh. 1 - Prob. 6PTBCh. 1 - Prob. 7PTBCh. 1 - Prob. 8PTBCh. 1 - Prob. 9PTBCh. 1 - Prob. 10PTBCh. 1 - Prob. 11PTBCh. 1 - Prob. 12PTBCh. 1 - Prob. 13PTBCh. 1 - Prob. 14PTBCh. 1 - Prob. 15PTBCh. 1 - Prob. 16PTBCh. 1 - Prob. 17PTBCh. 1 - Prob. 18PTBCh. 1 - Prob. 19PTBCh. 1 - Prob. 20PTB
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- In Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forward11 A ball is thrown vertically upwards from a ledge 1.45 m above the ground. The height, h metres, of the ball above the ground at / seconds can be modelled by the equation h = at² + bt+c. a State the value of c. The ball reaches its highest point above the ground when f = 1.4 seconds and hits the ground after a further 1.5 seconds. bi Write down two equations in a and b. ii Hence find the values of a and b. c Find the times when the ball is 5 m above the ground. TLarrow_forwardExercises 6–8, solve the 6. 24 33 9. You are in a hot air barrow_forward
- In Exercises 65–69, solve each equation. 2x 65. 3 1 + 1 6. 66. 2 10 2 2x 67. 3 68. 4 2 + 3 4 Зх + 1 13 1 - x 69. 3 2 4 6 ||arrow_forwardSolve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forwardIn Exercises 105–107, solve each equation using a graphing utility. Graph each side separately in the same viewing rectangle. The solutions are the x-coordinates of the intersection points. 105. |x + 1|| 106. 13(x + 4)| = 12 107. 12x – 3| = 19 – 4x|arrow_forward
- Solve allarrow_forwardSolve an equation 2.x 1 + x + 1. 3tarrow_forwardExercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forward
- 9) Solve the equation and check for extraneous solutions.arrow_forward15. Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 10 + 95x- 16x- can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.) O The pumpkin's maximum height is 2.97 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 2.97 feet and it hits the ground after 151.02 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 2.97 seconds.arrow_forward8.2.4.2 Solving Equations Solve each equation for x. Check your solution. 1) 4(-x + 3) = 7 - 4x 2) 7(2x-8) = -(4x + 10) + 17arrow_forward
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