Answers Chapter 1 Review A-561. Between 13.4 and 13.6 inches63. From 98.6 to 102.2 degrees Fahrenheit65. Between 2 and 3 seconds67. From 49.3 seconds to 200.7 seconds after blast-off69. False 71. TrueSection 1.7, page 1081. 49223. 11 5. 7. 9.5 51 13 1.6911. 1,000,000 13. 3 15. 4 17. 3 19. 5 321. Slope of l 1 2Slope of l 2 2 3Slope of l 3 3Slope of l 4 023. Slope of l 1 3 7Slope of l 2 7 3Slope of l 3 3 725. y x 2 27. y x 10 29. x 331. y 5x 11 33. y 1 35. y 1 3 x 116337. y 2x 4 39. x 3 41. y 0.7353x 2.517643. y 320 x 174045. x 47. m 2 3 , b 8 349.54321–5–4–3 –2 –1 1 2 3 4 5–2–3–4–5m 1 3 , b 4 354321–5–4–3 –2 –1 1 2 3 4 5–2–3–4–5yy2x – 3y = 8x = 3y + 4xx51.321x–5–4–3 –2 –1 1 2 3 4 5–2–3 y – 3 = – 2(x + 3)–4–553. y 2 55. y 4x 5 57. y 3x 23 x 259. x 3 61. 3x y 4 63. 2x y 1 or 6x 3y 1365. ( 13 67. (2, 5) 73. C 5N 10005 , 14 5)75. a. h 264 b. Approximately 3 inches67 tc. Approximately 50 inches77. $146,00079. a. 271.4 million b. 313 million81. False 83. True 85. FalseChapter 1 Review, page 1131. Rational, real, complex 3. Complex5. [5, 1)7.m 2, b 3y(, 1 2t 1/2(t 4)(t 8)9. 81 11.b 4 13. 3.14 10 7 15. a 2 bb3 17. 3319.x 2x 2 221. 2s 3 t3 23. 117 25.3b27. x 2 29. x 1/12 31. 33. t 3 t 2 5ta35. 3w 2 10w 8 37. (3u 2)(3u 2) 39.41.1 t 2(y 1)43. 45. t 1(3x 1) 2 47.x 3 t(t 1) y(y 2)49.x151.(x 1)(x 3) 2t53.y54321–5–4–3 –2 –1 1 2 3 4 5(–2, –3)54–7 –6a 2–2–3–4–5–2d 10Midpoint (1, 1)]–5 –4 –3 –2 –1 0–1(4, 5)(1, 1)]0 1 2 3x1
A-6 Answers Section 2.155. Center: (0, 0); radius: 4y54321–5 –4 –3 –2 –1 1 2 3 4 5–2–3–4–557. Center: (5, 4) ; radius: 3x 2 + y 2 + 10x – 8y + 32 = 0–8 –7 –6x 2 + y 2 = 16(–5, 4)–4 –3 –2 –18765432159. (x 2) 2 (y 5) 2 9 61. iv 63. ii65. x-intercepts: x 3.79, x 1.03, x 10.26; y-intercept: y 567. (2, 3) 69. x 5 71. x 7 34–573. x 3, x 0, x 1 75. x 3, x 4277. w 2 2 79. y 1 81. x 22 , y 2 383. x 1 85. x 2 87. a 23 , x 289. x 1.14 91. x 0.33, x 1.5493. y 4 2 95. y x 4 5; x 53 x; x 6xyx97.99.101. (, 10)103. (, )105.y 2 x 1; x 5(4, )( 2 3 , 2 )–6 –5 –4 –3 –2 –1 0 1 2–13 4 5 6 7 8 9 10 11–4 –3 –2 –1 0 1 2 3 4107. (, 5) (1, )1109. (0.47, 1.40) 111. 113. 4 115. y 3x 23117. y 2x 4 119. y 2x 2 121. y 3x 22123. y 3 2 x 4125. a. 4x 2 12xy 9y 2 b. 2x 3y127. a. (0, 7) b. (2, 11)129. a. (x 3)(x 2) b. x 3, x 2131. a. x 3 9x 2 9x 81 b. Z 9, Z 3, Z 3133. 84,375,000 cubic feet; approximately 1055 135. $11.50137. Between 25 million and 75 million units139. Approximately 1.3 hours for Roberto and 2.3 hours for DanielChapter 1 Test, page 1180121. True 2. True 3. True 4. False 5. True6. True 7. False 8. False 9. 2, for example10. x 2 2x 1, for example 11. x 2 6x 9 0, for example12. b, for example 13. x 1 0a 10 14. 3x 2 y 3 3x3x 115. 2 16. 6x 2 5x 6 17.x(x 2)18. (2x 3)(2x 3) 19. (u 2v)(u 2 2uv 4v 2 )20. (, 1) (2, ) 21. x 1.71, x 1.3522. x 1 5 23. [1, 5] 24. x 4 25. x 226. y 3 4 x 19427. a. ii b. i c. iii28. 24 feet; the ball hits the ground after 2.75 seconds3Chapter 2Section 2.1, page 1301. Function 3. Not a function 5. Function7. y is a function of x. 9. y is not a function of x.11. y is a function of x. 13. y is a function of x.15. y is not a function of x. 17. y is a function of x.19. a. 12 b. 2 c. 221. a.14 17 3t 2b. c.11 15 4t 523. a.753t 4 b. 3t 2 6t 3 c.t 225. a.1x 2 b. x 4 2x 2 1 c.a 227. a.1 1 1b. c.8 t 2 1 x 229. h(x) 31. f(x) 1x x 333. All real numbers35. All real numbers except 437. All real numbers except 3 and 339. [1, )41. All real numbers in [2, ) except 1 and 343. All real numbers except 3 and 345. f(x) 2x 1, for example47. f(x) 1 , for examplex 149. f(x) 7 x, for example51.1f(x) , for examplex(x 3)