Intermediate Algebra (11th edition)

29.1,210,000 30.0.0058 31. ; 0.0002 32. ;

1500 33. ; 0.000041 34. ; 0.027

35. (a)20,000 hr (b)833 days 36. 14 37. 38.


36. 504 40. (a) (b)trinomial (c) 3


37. (a) (b)binomial (c) 7


38. (a) (b)none of these (c) 4


39. (a) (b)monomial (c) 8

44.One example is 45.

46. 
    
    
    
    47. 
        
    
    
    
    


47. 
    
    
    
    49. 
        
        
        
        50. (a) (b) 4
        
        
        
        
    
    
    
    


48. (a) (b) (c) 11 (d)


49. (a) 167 (b) 1495 (c) 20 (d) 42 (e)
    (f ) 53. (a)94,319 (b)117,552 (c)136,204


50. 
    
    
    
    55. 
        
        
        
        56. 
            
        
        
        
        
    
    
    
    


51. 
    
    
    
    58. 
        
        
        
        59. 
            
        
        
        
        
    
    
    
    


52. 
    
    
    
    61. 
        
    
    
    
    


53. 
    
    
    
    63. 
        
        
        
        64. 
            
        
        
        
        
    
    
    
    


54. 
    
    
    
    66. 
        
        
        
        67. 
            
        
        
        
        
    
    
    
    


55. 
    
    
    
    69. (a)A (b)G (c)C (d)C (e)A (f )E
    
    
    
    

(g)B (h)H (i)F (j)I 70. 71. 72.

73. 
    
    
    
    74. 
        
        
        
        75. 
            
            
            
            76. 
                
            
            
            
            
        
        
        
        
    
    
    
    


74. 
    
    
    
    78. 
        
        
        
        79. 
            
        
        
        
        
    
    
    
    


75. 
    
    
    
    81. 
        
        
        
        82. 
            
        
        
        
        
    
    
    
    

Chapter 5 Test (pages 314–315)

[5.1]1. (a)C (b)A (c)D (d)A (e)E (f )F (g)B (h)G

(i)I (j)C 2. 3. 4. 5. 6.0.00000091

7. 0.0003 [5.3]8. (a) (b)
   (c) (d) 9. (a) 23 (b)

(c) 10. 11.

12. (a)446 thousand (b)710 thousand (c)907 thousand

[5.2]13. [5.4]14.

15. 
    
    
    
    16. 
        
        
        
        17. 
            
        
        
        
        
    
    
    
    


16. [5.5]19. 20.

[5.4]21. (a) (b) 0
[5.5]22. (a)x+2, xZ- 1 (b) 0

x^3 + 4 x^2 + 5 x+ 2

4 p- 8 + x^2 + 4 x+ 4

6

4 y p

(^2) - 9 z (^2) + 6 zx-x 2
6 m^3 - 7 m^2 - 30 m+ 25 36 x^2 - y^29 k^2 + 6 kq+q^2
x^3 - 2 x^2 - 10 x- 13 10 x^2 - x- 3
xx
yy
00 22
33
ff((xx) = –) = –xx^33 + 3 + 3
–2–2
2
3
0 x
yf(x) =
–2x^2 + 3
9 x^2 + 30 x+ 27

• 2 x^2 - 2 x- 3 - 7 3 x^2 + 11

3 * 10 -^4 ; - 18 - 2 x^2 + 12 x- 9

16

x^6 y^16

16

9 p^10 q^28

6

r^14

4 x^7

9 y^10

2 y^2 x+ - 3 k^2 + 4 k- 7 103,371 mi^2

3 y^3

2 x

+

5 x^2

2

9 m^2 - 30 mn+ 25 n^2 - p^2

1250 z^7 x^6

9

8 x+ 1 +

5

x- 3

1

16 y^18

• 1
  5 z^9
  21 p^9 + 7 p^8 + 14 p^74 x^2 - 36 x+ 81

1251 -^9

y^4

36

p^2 + 3 p- 6

p^2 + 6 p+ 9 +^54

2 p- 3

y^2 - 3 y+^54 x^2 - 4 x+ 6

36 r^4 - 1 16 m^2 + 24 m+ 9 9 t^3 + 12 t^2 + 4 t

10 p^4 + 30 p^3 - 8 p^2 - 24 p 3 q^3 - 13 q^2 - 14 q+ 20

• 12 k^3 - 42 k 15 m^2 - 7 m- 2 6 w^2 - 13 wt+ 6 t^2

1

–2 2 x

y

0

–6 f(x) = –x^3 + 1

x

y

0 2

f(x) = x^2 – 6

f(x) = –2x + 5

–2 0 2

5

y

x

15 x^2 + 10 x+ 2

75 x^2 + 220 x+ 160

5 x^2 - x+ 5 - 5 x^2 + 5 x+ 1 - 9

8 y^2 - 9 y+ 5 12 x^2 + 8 x+ 5 - 11

• 5 y^3 - 4 y^2 + 6 y- 12 6 a^3 - 4 a^2 - 16 a+ 15

x^5 + 2 x^4 - x^2 +x+2. -x^2 - 3 x+ 1

• 7 q^5 r^3


• 5 y^4 + 3 y^3 + 7 y^2 - 2 y

9 m^7 + 14 m^6

11 k^3 - 3 k^2 + 9 k

1

• (^110)
  4.1 10 -^5 2.7 10 -^2
  2 10 -^4 1.5 (^103) Chapters 1–5 Cumulative Review Exercises

(pages 316–317)

[1.1]1. (a)A, B, C, D, F (b)B, C, D, F (c)D, F (d)C, D, F

(e)E, F (f )D, F [1.3]2. 32 3. 4. 0 [2.1]5.

6. [2.2]7. [2.5]8.

[2.7]9. 10. [2.2, 2.4]11.32%; 390;

270; 10% 12.15°, 35°, 130° [3.2]13. 14. 0

[3.3]15. (a) (b)

16. (a) (b)
    [3.1]17. [3.4]18. 19.

[3.2, 3.3]20. (a) thousand lb per yr; The number of pounds

of shrimp caught decreased an average of 12,272.8 thousand lb per yr.

(b) (c)285,668 thousand lb

[3.5]21.domain: range: function

[3.6]22. [4.1]23. 24. [4.2]25.

[4.3]26.length: 42 ft; width: 30 ft 27.15% solution: 6 L;

30% solution: 3 L [5.1]28. 29. 30.

[5.2]31. [5.4]32. 33.

[5.5]34. 35.

FACTORING

Section 6.1 (pages 324–325)

1. 
   
   
   
   3. 5.cannot be factored 7.
   
   
   
   


2. 
   
   
   
   11. 
       
       
       
       13. 
           
       
       
       
       
   
   
   
   


3. 
   
   
   
   17. 
       
   
   
   
   


4. 
   
   
   
   21. 
       
   
   
   
   


5. 
   
   
   
   25. 
       
       
       
       27. 
           
       
       
       
       
   
   
   
   


6. 
   
   
   
   31. 
       
   
   
   32. 
       
   
   
   
   


7. 
   
   
   
   37. 
       
   
   
   38. 
       
       
       
       41. 
           
       
       
       
       
   
   
   
   


8. 
   
   
   
   45. 
       
       
       
       47. 
           
       
       
       
       
   
   
   
   


9. 
   
   
   
   51. 
       
   
   
   
   


10. 
    
    
    
    55. 
        
        
        
        57. 
            
        
        
        
        
    
    
    
    


11. 
    
    
    
    61. 63.The directions said that the
        student was to factor the polynomial completely.The completely factored
        form is 65.C 67. 69.
    
    
    
    


12. 6 y^6 +y^3 - 12

4 xy^31 xy^2 - 22. k 2 + 6 k- 7 25 x^2 - 4 t^2

m-^513 +m^22 p-^313 + 2 p 2

1 y- 221 x- 22 13 y- 2213 y^3 - 42 11 - a 211 - b 2

1 m+ 421 m^2 - 62 1 a^2 +b^221 - 3 a+ 2 b 2

12 - q 212 - 3 p 2 1 p+q 21 p- 4 z 2 12 x+ 321 y+ 12

• 2 x^21 x^3 - 3 x- 22 1 m+q 21 x+y 2 15 m+n 212 +k 2

12 s^41 - s+ 42 ;- 12 s 41 s- 42 2 x^21 - x^3 + 3 x+ 22 ;

6 mp- 3 p^22 r 1 - r^2 + 3 r+ 52 ;-r 1 r 2 - 3 r- 52

20 z 12 z+ 1213 z+ 42 51 m+p 221 m+p- 2 - 3 m^2 -

1112 z- 12 12 - x 2211 + 2 x 2 13 - x 216 + 2 x-x^22

7 ab 12 a^2 b+a- 3 a^4 b^2 + 6 b^321 m- 4212 m+ 52

5 ac 13 ac^2 - 5 c+ 12 16 zn^31 zn^3 + 4 n^4 - 2 z^22

• 2 p^2 q 412 p+q 2 7 x^311 + 5 x- 2 x^222 t^315 t 2 - 1 - 2 t 2

121 m- 52 411 + 5 z 2 8 k 1 k^2 + 32

6

4 xy^4 - 2 y+ m^2 - 2 m+ 3

1

x^2 y

2 x^2 - 5 x+ 10 x^3 + 8 y^315 x^2 + 7 xy- 2 y^2

m^6

8 n^9

y^7

x^13 z^2

8 m^9 n^3

p^6

• 9 51 3, 2 26 0 51 1, 0, - 126

5 - 4, -1, 2, 5 6 ; 5 - 2, 0, 2 6 ;

y=-12,272.8x+322,486

• 12,272.8

x

y

0

3 x + 2y < 0

x

y

0

y ≤ 2 x – 6

x

y

0

3

–4

–3x + 4y = 12

y= 4 x 4 x-y= 0

y=- 4 x+ 15 4 x+y= 15

-^43

E- 31 , 1F A-q, - 38 D ́^3 2, q^2

t= 1 - q, 6 2

A-p

pr

5 all real numbers 6

• 721 5 - 656

Answers to Selected Exercises A-13