MA 111 Even Homework AnswersSection 1.14. 2 x8. † 12y - 612. mn + 216. 2724. 328. 1330. 3.045 sq m32. 7.2 sq ft42. † x x is an integer greater { † than - 4 and less than 3}46. False48. True50 False62. † 3(m3+ n3)64. † (x - y)(x + y)Section 1.22. 78. 33416. 7 is greater than or equal to -2, true32. † -14034. † -9.636. † 31038. † -3.1942. † -6.650. -352. 1.962. 668. † -131570. † -1.176. 5684. 8.1786. 588. -1094. 13102. † 521106. 133110. –3114. † 552118. 79132. † 8x + 8138. † 5xy - 5xz + 5 xwSection 1.310. y = 6.918. † x = 1424. † 8a226. 14x32. † 13a-5 a246. -15y - 4550. 47b - 5158. t = 1364. y = 168. † x = 770. † t = -772. x =37578. † t=22592. † 0.42n2Ê Ë Á ˆ ¯ ˜ Section 1.44. Let t =time (hours) it will takeFran to swim 1.8 km upriver:2.7t = 1.86. Let t = time (hours): † 325t = 7258. let w= wholesale price: w + 0.5w+.25=1.9910. Let b = original amt of bill b – 0.05b = 142.5012. Let x =longer length:x +23x = 1014. Let x =measure of the secondangle: † 4x + x + (2x + 5) = 18016. Let x =first odd number † n + 2(n + 2) + 3(n + 4)=7018. Let x = length of one piece † x4Ê Ë Á ˆ ¯ ˜ 2=100 - x4Ê Ë Á ˆ ¯ ˜ 2+14442. 36Section 1.4 (cont)22. 156.724. 136826. 13.528. length 7 cm width 3.5 cm30. length 12 m width 4 m34. † 96o,32o,52o44. † 43Section 1.58. r =IPt12. † t =P - b0.5 14. † w =p - 2h - l216. † y =12 - 2x3or y = 4 -23x18. † l =P - 2w2orP2- w22. † p=3V4r332. † x =p1- yz36. $1571.4344. 25 ft48. about 7.7 hr52. † 4 ⋅ x ⋅ y ⋅ y; (y ⋅ 4)(x ⋅ y)Section 1.62. † 2720, † 5x6y622. † -6x6y3z648. † x3y564. 19768. 188. a690. 1812106. 8x9y327108. 1Section 1.72. 2.6 ¥101210. † 3.09¥101212. † 8.02 ¥10-916. 0.0000520. 0.0703428. 3.4 ¥10-430. † 3.5 ¥10-1148. 3.2 ¥1068. 32Section 2.110. IV12. III16. Yes26. NoSection 2.1 (cont)42.46.52.68. IV, III, I, IISection 2.22. Yes6. No18. a)3 b)† x -4 £ x £ 3{ } c)0 d)† y -5 £ y £ 4{ }20. (a) 4 (b) x -3 £ x £ 4{ } (c) -1 (d) † y 0 £ y £ 5{ }28. No30. No34. Yes66. –1section 2.2 (cont)38. (a) g(0) = 0 (b) g(-1) = 5 (c) g(3) = 21 (d) g(t) = 3t2- 2t (e) g(2a) =12a2- 4a40. (a) † 2625(b) † 29 © † -512 (d) † -73 (e) † 3x + 52x +1146. 100p or 314.16 cm248. † 41oF52. 125 per 10,000 men56. 3 drinks60. about 80,00070. † y =54x - 2Section 2.36.`10. (0,7)12. (0,2.2)18. slope=4320. slope=32638. slope = † -54; (0,1)46. † f ( x) = -34x +1248. f ( x) = 2x - 150. slope = † -54; (0,1)54. The distance from the finish line isdecreasing at a rate of † 623 m persecond.58. The distance from home isincreasing at a rate of 0.25 km perminute.70. 0.05 signifies that a salespersonearns 5% commission on sales;200signifies that a salesperson earns abase salary of $200 per week.Section 2.3 (cont)72. † 18 signifies that the grass grows † 18in per day; 2 signifies that the grass is2 in long when cut.78. 0.3 signifies that the cost per mileof renting the truck is $0.30; 20signifies that the minimum cost is $20.80. –2000 signifies that thedepreciation is $2000 per year; 15,000signifies that the original value of themachine was $15,000.88. 3Section 2.46. slope=018. slope=† -3220.22.34. (4,0); (0,-5)36. (4,0); (0,6)38. (5,0); (0,-3)60. 1 hr64. equation is linear; slope= -3580. † -2x - 882. † -32x -125(-1, 3)(0, 2)(1, 3)-(-1, 0)(0, 5)Section 2.52. † y - 4 = 5 x - 7( )10. y + 5 =34( x -1)14. slope=† -29; † -5,1( )20. † f x( )= -4 x + 132. † f ( x) = -43x - 478. † 5t2- 6t - 3Section 2.5 (cont)38. (a) A( p) = -2.5 p + 26.5 (b) 11.5 million lb40. (a) † A p( )= 2 p- 11 (b) 1 million lb.44. (a) † P d( )= .03d + 1 (b) 21.7 atm46. Yes, the lines are parallel56. y = -52x -35268. y = -25x -31582. –3488. $11,000Section 2.62. 78. -81112. † x2+ 3x +116. 3318. –122. † -x2- x + 754. 0; 264. † y =38x -58Section 3.12. yes4. no6. yes10. (3,1)14. (1,-5)18. (4,-5)22. (3,-2)28. † ( x,y) 2 x - 3y = 6{ }54. † 1912Section 3.1 (cont)38. Let x =measure of firstangle;y =measure of second angle: x + y = 90x +12y = 6440. † c + a = 2503.5c + 7a = 1347.5† 42. 2l +2w = 288 l = w + 4444. Let x =# two-pointers;y =# threepointers x + y = 402 x + 3y = 8946. Let x =# of 30 sec. Commercials;y= # of 60 sec. commercials x + y = 1230x + 60y = 600† 50. c + f =152 c = 5 +6 f56. † 13366. Let x represent Burl’s age now andy his son’s age now.† x = 2yx -10 = 3( y -10)Section 3.26. (2, -7)14. † 2523,-1123Ê Ë Á ˆ ¯ ˜ 22. † 12,-5Ê Ë Á ˆ ¯ ˜ 24. † 1021,1114Ê Ë Á ˆ ¯ ˜ 36. (2,3)38. 12,-12Ê Ë Á ˆ ¯ ˜ 42. no solution52. 8654. 30m, 90m, 360mSection 3.36. first angle=† 38°; second=† 52°8. 115 children's ; 135 adult's10. l = 94 ft., w = 50 ft.12. 31 two-pointers and 9 three-pointers22. cashews 20 lb; brazil nuts 30 lb26. Deep Thought 12 lb; Oat Dream 8lb48. † 1310Section 4.12. -5 is a solution, -10 is a solution, 0is not a solution, and 27 is not asolution4. 2 is not a solution, -3 is a solution, 0is a solution, and 3 is not a solution8.t t £ 6{ } ; -•, 6( ]12.x x ≥ -6{ } ; -6, •[ )14. x x > -3{ } or -3,•( )20. y y > -6{ } or -6,•( )32. x x < 6{ } or -•, 6( )36. † x x >23Ï Ì Ó ¸ ˝ ˛ , or† 23,•Ê Ë Á ˆ ¯ ˜ 42. † x x > -217Ï Ì Ó ¸ ˝ ˛ , or † -217,•Ê Ë Á ˆ ¯ ˜ 48. x x > 6{ } or 6, •( )(8, 9)(7, 4)(1, -5)(5, -2)4620-6-4-20-3-113- 6- 26420Section 4.1 (cont)54. Calls shorter than 3.5 min.58. More than 4.25 hr.60. Plan B is better for values greaterthan 855762. Parties of more than 8074. 22x-7Section 4.32. † x = -9 or x = 910. † x = -12 or x =7216. x=2 or x=820. † x = -8 or x = 822. † q = -115 or q =11554. † x -2 < x < 4{ } or -2,4( )62. † a a £ -32or a ≥132Ï Ì Ó ¸ ˝ ˛ or † -•,-32˘ ˚ ˙ Ê Ë Á »132,•È Î Í ˆ ¯ ˜ 86. (-2, -3)88. (-1, 7)Section 5.12. …
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