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6. {all real numbers x⏐x 6 or x 2
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23. rel. max.: (1, 1); rel. min.: (
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3-7Pages 185-1861.Graphs of Rationa
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26. The parent graph is translated
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56. Let x the width of each card a
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The correct choice is D.Chapter 3 S
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42.52. x 1 y x x1y x x x x
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3a. Sample answer:(2, 1)y(0, 0)O3b.
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Chapter 4 Polynomial and Rational F
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43. 3; n 3 9n 0n(n 2 9) 0n(n 3
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65. [f g](x) f(g(x)) f 1 2 x 6
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29. x 2 3x 28 0(x 7)(x 4) 0x
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Pages 226-228 Exercises14. 7⏐ 1 2
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6. p: 1, 3q: 1, 2 P q : 1, 3, 1 2
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24b. V() 2 3 9 2 42208 2 3 9 2
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11b. V w h 1.5V 1.5(3750)V 25
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37a. f (x)100,00080,00060,00040,000
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18. 1 1 1aa a 11 aa a 11(1 a)
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1 1 832. 2b 1 b 1 1 51 1 8 2b
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53b. Let x short answer questions
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21. a1 2 1 a2 1a 21 2a1 2 1
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38c. No; it is not a linear functio
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23b. Sample answer:f(x) 0.109x 2
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29. p: 1, 3q: 1, 2 p q : 1, 3, 1
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50. 3 4a 1 8 5 Check: 3 4a 1
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8. You can solve this problem using
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40. 217° 360k; Sample answers:217
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Pages 287-288 Check for Understandi
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31c. 87.5° 40.5° 47°49.5° 25
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23. terminal side — Quadrant IIre
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36. r x 2 y r x 2 y r 56) 2 (
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3. ∠DCB; ∠ABC; the measures are
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34.yOy |x 2|x35. Let x the cost
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35. — 1 2 — (14) 7base angles:
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2. Sample answer:Cb35˚A103. Area o
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34. x90° 63° 27°55˚ 63˚ 180
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9. Since 130° 90°, consider Case
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27. Since 47° 90°, consider Case
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41. tan 22° 7 4. Sample answers:
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15. b 2 a 2 c 2 2ac cos B13.7 2
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C could also equal 180 76.27180414
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34. r x 2 y 2 r 5 2 0 2 43. a 2
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58. b 2 a 2 c 2 2ac cos By 2 1b
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Chapter 6 Graphs of Trigonometric F
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60. 3.5 km 350,000 cms rv350,000
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38b. lighter child: v rqv 9(1.2)v
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32. y1y cos xO 8 9133.y cos x5 43
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2 x60. x 2 2 x 2 4x x2 41(x 2
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13. ⏐A⏐ 7 2 k 3 2A 7 k o
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50. sine curve A 0.5 36. ⏐A⏐
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71. y 14.7x 140.1y 14.7(20) 140
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5; 18. 4; y 424. ⏐5⏐A 5; 2 1
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42. y349. f(x) y xx 133y x 123
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12b. y 23.5 sin 6 t 2 3 47.
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8. 1 4 24. ; 4 4 n, where
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46d. 34.3 N52. C 180° (62°31 7
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10. Let v Cos 1 22 .Cos v 22v
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43d. A 3.675 2 k 12.4 h 7.05
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42. 3 2 Page 417 Applications
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10. Notice that the triangles are n
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20. Sample answer: 30°sec 2 x 1
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48. sin x cos x sec x cot x sin x
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1cosx6. tan x sec x sin x 11cosx
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32. Sample answer: sin x 1 2 1
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5. cos 165° cos (45° 120°)10.
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29. sec x tan 2 x 1 5 3 2 cos y
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48b. tan A tan B tan C tan A tan
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7-4Double-Angle and Half-AngleIdent
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20. tan 2v 1 1 c osv cos v1 1
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tan A 2 sin 2A 2 1 cos 2 A 2
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4. Each type of equation may requir
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34. cot 2 x csc x 1csc 2 x 1 cs
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62. cot 67.5° cot 13 5°12cot v
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10. 2x 2y 62x 2y 6 0A B 2 2
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33b. p 1.25, f 45°x cos (45°)
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7. 3x 5y 1 When x 2, y 1. Use (
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31. m 1 432. 73 1or 3 4 y 7
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125. cos y se c y1sin y 1 s co2
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51. y 1 3 x 6 → x 3y 18 0d
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7. Simplify the fraction. One metho
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21. 324˚u26.tur5.5 cmr3.5 cm22˚r
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50. v o volume of original boxv n
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45a.30˚Shore1545b. sin 30° ⏐V
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20. u TM 1 0, 4 6, 3 3 or 1, 2,
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u10. AB (0.65, 0, 0.3) (0, 0, 0)
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36a.F45˚36b. W ⏐F u ⏐⏐d u
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8. u F1 (33 cos 90°)iu (33 sin 9
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38. *4 *(3) (4 3 4) [(3) 3 (3)
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37a. target drone:x 3 (1)t y 4
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If the magnitude of the initial vel
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6b. Sample answer: If the original
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23. The first transformation reflec
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40. 1, 0, 4 5, 2, 1 0uiu juk1 0 45
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2. In order to write the equation o
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Chapter 9 Polar Coordinates and Com
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38. 120˚90˚ 39. 60˚120˚150˚30
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34a. r cos 2 r cos 7 r cos 4
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49. sin 2 A cos A 11 cos 2 A co
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19. 4 r cos v 4 0 r cos v cos
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7. x 2 y 2 36x 2 y 2 36r 6 or
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39b. z 0 1 0iz 1 (0.5 0.866i)(1
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46a. 40∠30° 40(cos 30° j sin
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13. r 5(2) or 10 v 3 4 4 4
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3. Rewrite 1 i in polar form as 2c
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27. x 5 1 → x 5 1Find the fifth
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Find c.cos 81°15 2 c8c cos 828
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48. r 4 2 0 2 v 0 16 or 44(cos
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Chapter 10 Conics10-1Introduction t
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24. Let the vertices of thequadrila
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34b. The two regions are closest be
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13. midpoint of diameter:18. (x h)
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30. x 2 y 2 Dx Ey F 0(2) 2 7
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42d. center: (h, k) (4, 2)radius:
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7. center: (h, k) (0, 0)a 2 36 b
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22. (h, k) (0, 0)a 2 9 b 2 4 c
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32. The major axis contains the foc
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47. The target ball should be place
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2. Sample answer: The graph will sh
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transverse axis: horizontal (x h)
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23. 25y 2 9x 2 100y72x269025(y 2 4y
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38. center: (h, k) (3, 1)a distan
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48b. They are the same lines.48c.
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10. (y k) 2 4p(x h)(1 5) 2 4p[
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20. y 2 2y 12x 13 0y 2 2y 12x
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32. opening: upwardh x 1 x 22 1
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10. vertex: (h, k) (5, 1)(x h) 2
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15. A 1, C 3; since A and C have d
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26. x cos 2t y sin 2tcos 2 2t si
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41a. A 2, C 5; since A and C have
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42. 9x 2 4xy 6y 2 2039. 8x 2 5x
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12a. Let x side length of flowerbe
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21. x 2 y 3 0x 2 y 3x 2 4y 2
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38c. (h, k) (0, 3)(x, y) (6, 0)(x
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24. (h, k) (4, 1)a 9b 6 (y k) 2
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36. vertex: (h, k) (1, 3)(y k) 2
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57. x 2 4x 4y 461. 62.x 2 b b2
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69d. If the exponent is less than 0
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25b. y28d. Sample answer: A borrowe
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11a. Annually: I 100[(1 0.08) 1
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11-4Pages 722-723Logarithmic Functi
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11-5Common LogarithmsPage 730 Check
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59. 1800 5000 ln r68. 2x 5y 3 01
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54. 1 4 3x 6 x23x log 1 4 (x
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6. C D9. A is the arithmetic mean
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67. x 1x 3x 2 4x 2(x 2 3x)x 2
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n 1n→n1d. lim limn→ n n 1 0
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14. Let x 3 , then x 3 1 x .
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2216. a n (n 1),(n 2)a n1 (n 2)2
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10. 5001 0. 124 515a 1 515, r
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53. 322 a 1 2 51322 4a 182 a 182
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Binomial Theorem to find the 4th te
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39. If you add the numbers on the d
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15. f(0.1) 2(0.1) 2 0.10.08f(0.08
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40. n 1 sin I n 2 sin r1.00 sin 42
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13. Step 1: Verify that the formula
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23. Step 1: Verify that the formula
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Chapter 12 Study Guide and Assessme
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52. Step 1: Verify that the formula
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Chapter 13 Combinatorics and Probab
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34. P(all red cards) 2 652 2 5
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42d. Sample answer: A chip from Cyb
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25. P(half answers correct) C(10,
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20. There are P(5, 5) ways to arran
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10e. Sample answer:Grams of Fat Fre
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3. Write the stems 9, 10, 11, 12, 1
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153. csc 270° sin 270° 1 y 1
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20. f(x) 8xf(x) 8 1x 11 821. f(x
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57. x 2 y 2 Dx Ey F 02 2 (1)
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12. 2 x 2 dx 0 x 2 dx 2x 2 dx1
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27. 30 1 2 x 3 dx lim n→ n 1
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7. 0 (4 x 2 )dx 4x 1 3 x 3 0
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44. 1 (x 1)(3x 2)dx49a.1 1 (3x
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23. f(x) lim f(x h ) f(x)h→0h
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2. Let x represent the length of th
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5. 2x 1 02x 1x 1 2 f(x)f(x) 2
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6. 8x 2y 2 → 16x 4y 43x 4y 2
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6. y 2 2 x 2 17→ b 2 2 a 2
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Lesson 3-5Page A311. Yes; the funct
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4. 4⏐ 1 2 7 3 44 8 4 41 2 1 1⏐
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6. x 2x x 4x 6(x 6)(x 2) x(x
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3. r x 2 y 2 (1) 2 ) (22 5sin v
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Lesson 6-4Page A361. ⏐2⏐ 2; 2
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3. tan 12 tan 6 7. 7 2 2 2
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3. x 2 49 y 2 → x 2 y 2 49y8
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Lesson 10-6Page A451. A 1, C 1; s
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20a.20b. Sample answer: Using (47,
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222. y x 2 → b a 2x-axis b a22b
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14. Sample answer: 1; 219. 2x 2 3
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12. cos A b c cos ° 4 c2 42c
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Chapter 8 TestPage A631. 2.5 cm, 60
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13. A 3, C 16; since A and C have
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