14.The two lines have the same slope, 3, but the y-intercepts, and
, are different. Therefore, the lines are parallel, do not intersect, and
have no common solution. 15. 1, 3 16. 1, 2, 3 17. ;
inconsistent system 18.length: 200 ft; width: 85 ft 19.New York
Yankees: $72.97; Boston Red Sox: $50.24 20.plane: 300 mph;
wind: 20 mph 21.$2-per-lb nuts: 30 lb; $1-per-lb candy: 70 lb
22.85°, 60°, 35° 23.$40,000 at 10%; $100,000 at 6%; $140,000
at 5% 24.5 L of 8%; 3 L of 20%; none of 10% 25.Mantle: 54;
Maris: 61; Berra: 22 26. 3, 27. 5 28. 0, 0,
- 1, 2, 30.B; The second equation is already solved for y.
- 12, 9 32. 33. 3, 34. 5, 3 35. 0, 4
- 37.20 L 38.U.S.: 37; Germany: 30; Canada: 26
Chapter 4 Test (pages 260–261)
[4.1]1. (a)Houston, Phoenix, Dallas (b)Philadelphia (c)Dallas,
Phoenix, Philadelphia, Houston 2. (a)2010; 1.45 million
(b) 3. 4.
- dependent equations
- inconsistent system
[4.2]10. 11. [4.3]12.Star Wars
Episode IV: A New Hope:$461.0 million; Indiana Jones and the
Kingdom of the Crystal Skull:$317.0 million 13.45 mph, 75 mph
14.20% solution: 4 L; 50% solution: 8 L 15.AC adaptor: $8;
rechargeable flashlight: $15 16.Orange Pekoe: 60 oz; Irish Breakfast:
30 oz; Earl Grey: 10 oz [4.4]17. 18.
Chapters 1– 4 Cumulative Review Exercises
(pages 261–262)
[1.2]1. 2. [1.3]3. 81 4. 5. 6.
- 8.It is not a real number. 9. 10.
[1.4]11.commutative property [2.1]12. [2.7]13.
[2.2]14. [2.1]15. [2.5]16.
[2.7]17. 18. [2.6]19.
[2.2]20.2010; 1813; 62.8%; 57.2% [2.3, 2.4] 21.pennies: 35;
nickels: 29; dimes: 30 22.46°, 46°, 88° [3.1]23.
- [3.2]25. 26. [3.3]27.
[3.2]28. [3.4]29.
[3.6]30. (a) (b) [4.1, 4.4]31.
- [4.2, 4.4]33.
[4.3]34.Tickle Me Elmo: $27.63; T.M.X.: $40.00
[4.1]35. (a)x= 8 , or 800 items; $3000 (b)about $400
51 x,y 2 |x- 3 y= 76 51 5, 3, 2 26
- 6 a^2 + 3 a- 6 51 3,- 326
–3x– 2y≤ 6
–2
–3
0
y
0 x
y
x
(–1, –3) (2, –1)
x= 4 - 34 34 4 x+ 3 y= 10
y= 6
C-2, 32 D 1 - q,q 2 1 - q,q 2
x= (^5116) A-q,^24013 D
d-by
a
E-^154 F E^23 , 2F
- 0.7 - 199 455
-^2320 -^29 - 81 - 81 0.7
EA 52 , 57 BF 51 - 1, 2, 3 26
EA-^23 , 54 , 0BF^51 3,-2, 1^26
51 3, 3 26 51 0,- 226 0 ;
EA-^94 , 45 BF^51 x,y^2 |^12 x-^5 y=^86 ;
51 6,- 426
x + y = 7
x – y = 5
(^05)
–5
y
(6, 1) x
1 2025, 2.8 2 51 6, 1 26
EA^8223 ,- 234 BF
51 26 0 51 - 126 51 26 51 26
51 - 126
51 - 226 51 - 1, 26 51 - 126
51 - 5, 26 51 26 0
1 0,- 42
1 0, 2 2
EXPONENTS, POLYNOMIALS, AND POLYNOMIAL
FUNCTIONS
Section 5.1 (pages 274–278)
1.incorrect; 3.incorrect; 5.correct
7.Do not multiply the bases. 9. 11. 13.
- 19.The product rule does not apply.
- (a)B (b)C (c)B (d)C 23. 1 25. 27. 1 29. 2
- 0 33. 35. (a)B (b)D (c)B (d)D 37. or
- 16 55. 57. 59. 61. (a)B (b)D (c)D (d)B
- , or 16 65. 67. 69. 71. 73. , or 49
- 77.The quotient rule does not apply. 79. 81.
- 141.72,000 143.0.00254 145.
147.0.000012 149.0.06 151.0.0000025 153.200,000 - 3000 157.
159. (a) (b)
(c)$3243 161.$37,459 163.300 sec 165.approximately
mi 167. 169. 171.
Section 5.2 (pages 282–283)
1.7; 1 3. 5.1; 4 7. 9.8; 0 11.
- ; 15. ;
- 19.monomial; 0 21.binomial; 1
23.binomial; 8 25.monomial; 6 27.trinomial; 3 29.none of
these; 5 31.A 33. 35. 37. 39.already simplified
- 87.function; domain: ; range:
89.not a function; domain: ; range:
- 87.function; domain: ; range:
- (a) 3 (b) 6
3 0,q 2 1 - q,q 2
1 - q,q 2 1 - q,q 2
- 4 m^2 + 4 n^2 - 7 n y^4 - 4 y^2 - 4 10 z^2 - 16 z
- 5 a^4 - 6 a^3 + 9 a^2 - 11 3 y^2 - 4 y+ 2
13 z^2 + 10 z- 3 10 y^3 - 7 y^2 + 5 y+ 8
- 9 p^2 + 11 p- 9 5 a+ 18 14 m^2 - 13 m+ 6
- 2 a^2 - 2 a- 7 - 3 z^5 +z^2 + 7 z 12 p- 4
- t^4 + 2 t^2 - t+ 5 5 y^3 - 3 y^2 + 5 y+ 1 r+ 13
- 2 ab^2 + 20 a^2 b 3 m+ 11 - p- 4 8 x^2 +x- 2
- t+ 13 s 8 k^2 + 2 k- 7 - 2 n^4 - n^3 +n^2
8 z^47 m^35 x
- 3 m^4 - m^3 +10;- 3 m^4 ;- 3
2 x^3 - 3 x^2 +x+ 42 x^3 ; 2 p^7 - 8 p^5 + 4 p^3 p^7 ; 1
- 15; 2^16 ; 1 -1; 3
9 x 3 + 5 q
5.87* 1012 998 mi^2 7.5* 109 4 * 1017
2.10385* 105 3.084* 108 $1* 10121 or $10^122
$1* 109 ;$1* 10121 or $10^122 ;$3.1* 1012 ;
- 3.85* 104 - 60,000
5.3* 102 8.3* 10 -^1 6.92* 10 -^6
3 p^8
16 q^14
2
3 y^4
- 3
32 m^8 p^4
125 y^3
x^30
n^10
25 m^18
y^9
8
8
3 pq^10
2 k^5
3
4 k^17
125
4 k^5
m^2
1
6 y^13
4
a^2
1
2 pq
p^4
5
- 14 k^3
z^4
x^3
625
a^10
- 4 r^6
1
k^2
1
a^5
1
3
s^12
t^20
- 64 m^6
t^3
64 t^3 - 216 x^6
27
x 125
r^318
72
1
610
66
1
r^3
42 x^4
25
16
27
8
27
4
(^1130) - 245
1
a^4
- 1
a^3
4
x^2
1
16 x^2
1
9
1
625
1
54
- 2 ,
- 1
- 27 w^818 x^3 y^8
45 # 42 = 47 1312 810 x^17
a
3
a
b
4
=
34
a^4
1 ab 22 =a^2 b^2