College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
5th Edition
ISBN: 9780134179025
Author: Ronald J. Harshbarger, Lisa S. Yocco
Publisher: PEARSON
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Chapter 7.1, Problem 12E
To determine
To solve: The system of equations using left-to-right substitution.
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Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
In Exercises 7–10, determine the values of the parameters for which the system
has a unique solution, and describe the solution.
7. 6sx1 + 4x2
5
9x + 2sx₂ = -2
=
For Exercises 73–80, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation.
(See Example 9)
73. Зх?
4х + 6 3D 0
74. 5x
- 2x + 4 = 0
75. - 2w? + 8w = 3
76. -6d + 9d = 2
77. Зx(х — 4) 3D х — 4
78. 2x(x – 2) = x + 3
79. –1.4m + 0.1 =
-4.9m²
80. 3.6n + 0.4 = -8.1n?
Chapter 7 Solutions
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Ch. 7.1 - In Exercises 14, solve the systems of equations....Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - In Exercises 516, use left-to-right elimination to...Ch. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Ticket Pricing A theater owner wants to divide an...Ch. 7.1 - Prob. 29ECh. 7.1 - Investment A trust account manager has 500,000 to...Ch. 7.1 - Investment A man has 400,000 invested in three...Ch. 7.1 - Loans A bank loans 285,000 to a development...Ch. 7.1 - Transportation Ace Trucking Company has an order...Ch. 7.1 - Nutrition The following table gives the calories,...Ch. 7.1 - Exercises 3540 have nonunique solutions. 35....Ch. 7.1 - Exercises 3540 have nonunique solutions. 36. Loans...Ch. 7.1 - Exercises 3540 have nonunique solutions. 37....Ch. 7.1 - Exercises 3540 have nonunique solutions. 38....Ch. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - Solve the systems in Exercises 1522. 15....Ch. 7.2 - Solve the systems in Exercises 1522. 16....Ch. 7.2 - Solve the systems in Exercises 1522. 17....Ch. 7.2 - Solve the systems in Exercises 1522. 18....Ch. 7.2 - Solve the systems in Exercises 1522. 19....Ch. 7.2 - Solve the systems in Exercises 1522. 20....Ch. 7.2 - Solve the systems in Exercises 1522. 21....Ch. 7.2 - Solve the systems in Exercises 1522. 22....Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - Ticket Pricing A theater owner wants to divide a...Ch. 7.2 - Rental Cars A car rental agency rents compact,...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 44ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Find EF and FE if E=[abcd] and F=[efgh].Ch. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Endangered Species The tables give the numbers of...Ch. 7.3 - Prob. 31ECh. 7.3 - Income The table on the top of the next column...Ch. 7.3 - Prob. 33ECh. 7.3 - Cost Men and women in a church choir wear choir...Ch. 7.3 - Manufacturing Two departments, A and B, of a firm...Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - In Exercises 514, find the inverse of the given...Ch. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - In Exercises 916, solve the system algebraically...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Constructing a Box A rectangular piece of...Ch. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7 - If y is proportional to x, and y = 12x, what is...Ch. 7 - Prob. 2TECh. 7 - Prob. 3TECh. 7 - Prob. 4TECh. 7 - Prob. 5TECh. 7 - Prob. 6TECh. 7 - Prob. 7TECh. 7 - Prob. 8TECh. 7 - Prob. 9TECh. 7 - Prob. 10TECh. 7 - Prob. 11TECh. 7 - Prob. 12TECh. 7 - Prob. 13TECh. 7 - Prob. 14TECh. 7 - Prob. 15TECh. 7 - Prob. 16TECh. 7 - Prob. 17TECh. 7 - Prob. 18TECh. 7 - Determine whether the planes represented by these...Ch. 7 - Prob. 20TECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - In Exercises 31 and 32, solve the system of...Ch. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Medication Medication A is given six times per...Ch. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Finance A financial planner promises a long-term...Ch. 7 - Transportation Marshall Trucking Company has an...Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Investment An investor wants to place a total of...Ch. 7 - Income and SAT Scores The following table gives...Ch. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RE
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- Exercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 9. 2Va + 2 = 1arrow_forwardIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 6x + 9 – y? 12x + 36 – y? 65. x? 66. x2 67. x + 20xr + 100 68. x? + 16x + 64 – x4 69. 9x2 70. 25x? – 20x + 4 – 81y? 30x + 25 – 36y? 71. x* - x? – 2x – 1 72. x4 -х2 — бх — 9 x? + 4xy – 4y2 x²+ 10xy - 25y2 73. z? 74. z? - rarrow_forwardFor Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h harrow_forward
- In Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_forwardIn Exercises 15–16, solve each system by eliminating variables using the addition method. 15. [3x + 12y = 25 |2r - 6y = 12 x + 3y -x + 2y + 3z 2х - 5у — г 16. 5 13 -8arrow_forwardFor Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forward
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