For Exercises 15–20, solve the equations and inequalities. (See Example 3)
a.
b.
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d.
e.
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Chapter 3 Solutions
COLLEGE ALGEBRA ACCESS CODE
- For 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_forwardFor Exercises 9–10, determine if the equation is linear or nonlinear. If the equation is linear, find the solution set. −2x = 8arrow_forwardFor 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?arrow_forward
- Solve. 3 3 7(x-2) + 5 1 5 (x+1) x = 2 (Simplify your answer.)arrow_forwardFor Exercises 37–44, find the difference quotient and simplify. (See Examples 4-5) 37. f(х) — — 2х + 5 38. f(x) = -3x + 8 39. f(x) = -5x² – 4x + 2 40. f(x) = -4x - 2x + 6 41. f(x) = x' + 5 42. f(x) = 1 43. f(x) = 1 44. f(x) = x + 2arrow_forwardLet a, b, c be the solution to the equation below 0 = x3 -(2 + 22 + 23)x2 + (23 + 24 + 25)x - 26 What is the value of a x b x c?arrow_forward
- What is? 2x-1=y,2y+3=xarrow_forwardThe bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion.The formula I =1/4x + 26 models the percentage of U.S. households with an interfaith marriage, I, x years after 1988.The formula N =1/4x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.In which years will more than 33% of U.S. households have an interfaith marriage?arrow_forward4. Evaluatelimx-1 x-1x-1. Show your complete solution.arrow_forward
- Given that a + b ( 1 + x )3 + c ( 1 + 2x )3 + d ( 1 + 3x )3 = x3 For all values of x, find the values of the constants a, b, c and d.arrow_forwardFor Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i 19. 4 + 5i 20. -4 - 6i 21. 9 - 15i 22. 14 6. -2 -3 -18 + V-48 23. - 20 + V-50 14 - V-98 25. - 10 + V-125 24. 26. 4 10 -7arrow_forwardGiven the function y = x2 + 10x + 21, what is the least possible value of y? * +10x+21=U loy bib eveb theaib ynatweharrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
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