MA 111 Even Homework Answers Section 1.1 14. 2x 18. 12y − 6 22. 1mn + 26. 27 34. 3 40. 0 44. 3.045 sq m 46. 7.2 sq ft 56. x xis an integer greater { than - 4 and less than 3} 64. False 66. False 80. 3(m3+ n3) 82. (x− y)(x+ y) Section 1.2 12. 7 18. 334 26. 7 is greater than or equal to -2, true 42. −140 44. −9.6 46. 310 48. −3.19 52. −6.6 60. -3 62. 1.9 72. 6 78. −1315 80. −1.1 86. 56 94. 8.17 96. 5 98. -10 104. 13 112. 521 116. 133 120. –3 124. 552 128. 77 142. 8x+8 148. 5xy− 5xz+ 5xw Section 1.3 18. y=6.9 26. x=14 32. 8a2 34. 14x 40. 13a−5a2 54. 47b−51 60. 15x= 68. y=1 72. x=7 74. t=−7 76. x =375 96. 0.42n2⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Section 1.4 6. Let t = time (hours): 325t=725 10. Let b = original amt of bill b – 0.05b = 142.50 12. Let x=longer length: x +23x = 10 14. Let x=measure of the second angle: 4x+x+(2x+5)=180 16. Let x =first odd number n+2(n+2)+3(n+4)=70 18. Let x = length of one piece x4⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2=100 − x4⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2+144 20. Let x = score on next test 93 89 72 80 96886x+++++= 42. 36 Section 1.4 (cont) 24. $1500 26. 9 tables 28. length 7 cm width 3.5 cm 30. length 12 m width 4 m 34. 96,32,52 44. 43 Section 1.5 4. P = 2l+2w 16. r =IPt 20. t =P−b0.5 22. w =p− 2h −l2 28. l =P− 2w2orP2− w 34. pmnr=+ 48. $1571.43 60. 1221 72. 4⋅x⋅ y ⋅ y;(y ⋅ 4)(x⋅y) Section 1.6 12. 77 16. 5x 30. 5x6y6 32. −6x6y3z6 38. 81 40. -81 58. x3y5 74. 197 78. 1 98. a6 100. 1812 116. 8x9y327 118. 1 Section 1.7 2. Negative power of 10 8. 0.00005 12. 0.07034 28. 3.09×1012 30. 8.02×10−9 34. 3.4 ×10−4 36. 3.5 ×10−11 60. $67,000 72. 85.8 10× 76. 32 Section 2.1 2. negative 16. IV 18. III 22. Yes 32. NoSection 2.1 (cont) 48. Section 2.2 10. no 14. yes 18. a)3 b)x −4 ≤ x ≤ 3{} c)0 d)y −5 ≤ y ≤ 4{} 28. (a) 4 (b) x −3≤ x ≤ 4{} (c) -1 (d) y 0 ≤ y ≤ 5{} 36. No 38. No 42. Yes 76. –1 section 2.2 (cont) 46. (a) g(0) = 0 (b) g(−1) = 5 (c) g(3) = 21 (d) g(t) = 3t2− 2t (e) g(2a) =12a2− 4a (f) 17 48. (a) 2625 (b) 29 (c) −512 (d) −73 (e) 3x+52x+11 60. 41F 62. 125 per 10,000 men 64. 92% 68. 3 drinks; 6.5 drinks 80. y =54x − 2 Section 2.3 6. ` 10. (0,7) 18. (0,2.2) 24. slope=43 26. slope=326 44. slope = −54; (0,1) 52. f (x) =−34x +12 54. () 2 3fxx=− 60. The value is decreasing at a rate of $900 per year. 64. The distance from home is increasing at a rate of 0.25 km per minute. 76. 0.05 signifies that a salesperson earns 5% commission on sales; 200signifies that a salesperson earns a base salary of $200 per week. Section 2.3 (cont) 80. 18 signifies that the grass grows 18 in per day; 2 signifies that the grass is 2 in long when cut. 84. 0.3 signifies that the cost per mile of renting the truck is $0.30; 20 signifies that the minimum cost is $20. 86. –2000 signifies that the depreciation is $2000 per year; 15,000 signifies that the original value of the machine was $15,000. 94. 3 Section 2.4 16. slope=0 18. slope=−32 30. 32. 44. (4,0); (0,-5) 46. (-6,0); (0,-9) 72. 1.5 hrs 76. equation is linear; slope=−35 92. −2x− 8 94. −32x −125 (-1, 0) (0, 2)Section 2.5 12. ()15 3yx−= − 22. slope=−29; ()5,4− 28. fx()=−4 x+ 1 42. f (x) =−43x − 4 94. 5t2− 6t− 3 Section 2.5 (cont) 48. (a) E(t) = 0.07t + 78.8 (b) 80.2 yr 50. (a) A(p) =−2.5p+ 26.5 (b) 11.5 million lb 58. Yes, the lines are parallel 72. y =−52x −352 98. –34 102. $1350 104. $11,000 Section 2.6 8. 7 14. −811 18. x2+ 3x+1 22. 33 24. –1 28. −x2−x+ 7 60. 0; 2 70. y =38x −58 Section 3.1 10. yes 12. no 14. yes 22. (1,-5) 26. (4,-5) 30. (3,-2) 36. (x,y)2x − 3y = 6{} 58. 1912 Section 3.1 (cont) 44. Let v = avg verbal score and m the avg math score 102612vmmv+==+ 48. Let x=# two-pointers;y=# three pointers x+y=402x + 3y = 89 50. Let p = # of polarfleece and w = # of wool 409.90 12.75 421.65pwpw+=+= 54. 2 2 228 42lwwl+==− 58. 1912 68. Let x represent Burl’s age now and y his son’s age now. x= 2yx −10 = 3( y −10) 70. 22 1564( 6)lwlw+==− Section 3.2 12. (2, -7) 14. no solution 28. 12,−5⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 30. 1021,1114⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 42. (2,3) 48. no solution 60. 30m, 90m, 360m Section 3.3 4. math: 519; verbal: 507 8. 31 two-pointers and 9 three-pointers 10. polarfleece: 31; wool: 9 24. 12 L of 25% and 18L of 50% 38. 14 km/h 42. length 76m; width 19m 56. 1310 Section 4.1 12. -5 is a solution, -10 is a solution, 0 is not a solution, and 27 is not a solution 14. 2 is not a solution, -3 is a solution, 0 is a solution, and 3 is not a solution 18. tt≤6{} ; −∞,6(] 22. xx≥−6{} ; −6,∞[) 30. yy>−6{} or −6,∞() 56. x x >−217⎧ ⎨ ⎩ ⎫ ⎬ ⎭ , or −217,∞⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 62. xx> 6{} or 6,∞() (3, 1) 4 62 0 -6 -4 -2 0 - 6 - 2Section 4.1 (cont) 68. Calls shorter than 3.5 min. 72. More than 4.25 hr. 74. Plan B is better for values greater than 8557 76. More than $1850 62. Parties of more than 80 88. 22x-7 Section 4.3 10. x=−9 or x= 9 18. 9 or 15xx=− = 62. x−2 < x < 4{} or −2,4() 70. a a ≤−32or a ≥132⎧ ⎨ ⎩ ⎫ ⎬ ⎭ or −∞,−32⎤ ⎦ ⎥ ⎛ ⎝ ⎜ ∪132,∞⎡ ⎣ ⎢ ⎞ ⎠ ⎟ 94. (-2, -3) 96. (-1, 7) Section 5.1 12. Degree of terms: 3,2,1,0; degree of poly.:3 18. −10x4+ 7x2− 3x +9; −10x4;−10 56. 16x+ 7y − 5z 66. 2a2+ 3b − 4ab + 4 72. −215xy +1912xy2+1.7x2y 78. 14y + 7 102. 849t Section 5.2 16. 3a3−12a2 22. 230xx+− 52. 84 4269ab ab++ 60. x2− 9 62. 294x− 64. 9x2− 25y2 66. 16a6−25a2b2 84. y =wx+ z Section 5.3 18. 4( 3)xyx y− 30. 22( 2 6)xx−−+ 40. (t−3)(r−s) 42. (a+5)(2a−1) 58. h(t)=−16(t−6)h(1) = 80 ft 60. πr(2h+r) 72. –1 Section 5.4 10. (2)(6)xx++ 14. (9)(3)xx−+ 24. (9)(5)tt−− 26. (5)(2)xx+− 30. (8 )(7 )xx−+ 46. (3 5)(2 5)xx+− 50. 2(4 1)(3 1)aa−− Section 5.5 48. a2(3a+b)(3a−b) Section 5.7 8. (x+12)(x−12) 10. (2a−3)(a−4) 14. p+ 8()2 16. 2 y+11() y−6()
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