Intermediate Algebra (11th edition)

104. 
     
     
     
     105. 
          
          
          
          106. 
               
               
               
               107. 
                    
                    
                    
                    108. 
                         
                    
                    
                    
                    
               
               
               
               
          
          
          
          
     
     
     
     


105. 
     
     
     
     110. 
          
          
          
          111. 
               
               
               
               112. 
                    
                    
                    
                    113. 
                         
                    
                    
                    
                    
               
               
               
               
          
          
          
          
     
     
     
     


106. 
     
     
     
     115. 
          
          
          
          116. 
               
               
               
               117. (a) (b)7.9 ft
               
               
               
               
          
          
          
          
     
     
     
     


107. 
     
     
     
     119. 120.no 121. 122.
     
     
     
     


108. 
     
     
     
     124. 
          
          
          
          125. 3 126. 127.
          
          
          
          
     
     
     
     


109. 
     
     
     
     129. 
          
          
          
          130. 
               
               
               
               131. 1 132. 133. 1
               
               
               
               
          
          
          
          
     
     
     
     


110. 
     
     
     
     135. 
          
          
          
          136. 
               
               
               
               137. 
                    
                    
                    
                    138. 
                         
                    
                    
                    
                    
               
               
               
               
          
          
          
          
     
     
     
     


111. 
     
     
     
     140. 
          
          
          
          141. 
               
               
               
               142. 1 143. 7 i
               
               
               
               
          
          
          
          
     
     
     
     


112. 
     
     
     
     145. 
          
          
          
          146. 
               
               
               
               147. 
                    
                    
                    
                    148. 
                         
                    
                    
                    
                    
               
               
               
               
          
          
          
          
     
     
     
     

149.The expression cannot be simplified further.

150. 
     
     
     
     151. 
          
          
          
          152. 
               
               
               
               153. 
                    
               
               
               
               
          
          
          
          
     
     
     
     


151. 
     
     
     
     155. 
          
          
          
          156. 
               
               
               
               157. 
                    
                    
                    
                    158. 
                         
                         
                         
                         159. 
                              
                         
                         
                         
                         
                    
                    
                    
                    
               
               
               
               
          
          
          
          
     
     
     
     


152. 
     

Chapter 8 Test (pages 490 – 491)

[8.1]1. 2. [8.2]3. 5 [8.1]4.C 5.21.863 6.

7. domain:

range:

[8.2]8. 9. 10. 11. 12.

[8.3]13. or 14. 15. 10 16.

17. 
    
    
    
    18. [8.4]19. 20.
    
    
    
    

[8.5]21. 22. 23. 24.

25. 
    
    
    
    26. [8.6]27. (a)59.8
    
    
    
    

(b) or 28. 29.

30. [8.7]31. 32. 33. 34.


31. (a)true (b)true (c)false (d)true

Chapters 1–8 Cumulative Review Exercises

(pages 492– 493)

[1.3]1. 1 2. [2.1]3. 4. 5.

[2.7]6. [2.5]7. [2.3]8.36 nickels; 64 quarters

9. [3.1]10.

x

y

0

3

–4

4 x – 3y = 12

2

2

39

L

E-^103 , 1F^1 - 6, q^2

-^1495 - 46 5 - 126 566

5 - 36 - 5 - 8 i - 2 + 16 i 3 + 4 i i

T= 5 - 16 536

V^2 - V 0 2

V^2 k

T=

V 0 2 - V^2

• 
  

  V^2 k
  ,

  
  


• 
  

  (^2) A 27 - (^25) B 3 + 26
  22325
  5

  
  


• 
  

  210
  4
  66 + 25 23 - 4215

  
  

2 ab^3242 a^3 b 26200 2625 12 ts- 3 t^22232 s^2

a^323 a^2 , a11/3 2145 3 x^2 y^326 x

x4/3y^67 1/2, or 27

9 y3/10

x^2

1

256

125

64

3 0, q 2

3 - 6, q 2 ;

• 29 - 8 - 9.405

566

526 516 526 596 546 576

235 + 215 - 221 - 3 556 5 - 46 E^32 F

5 + 12 i 6 x 23 y^2

1 + 26

3 - 7 i - 5 i 2

2360

5

• 23
  6
  5722

k^63 z^3 t^2232 t^2

1

z3/5

1

• 
  

  (^4100)
  1 - i 4 +i -i - 1

  
  


• 
  

   35 - 45 5 +i 32 - 24 i

  
  

5 i 10 i 22 - 10 - 2 i 14 + 7 i

0 576 546 H= 2 L^2 - W^2

5 - 136 5 - 16 5146 5 - 46 0

5 0, 5 6 596 536 576 E- 21 F 21. [6.5]22. 23.

[7.1]24. 25. [7.2]26.

[7.3]27. 28. 29. [7.4]30.

[7.5]31.Danielle: 8 mph; Richard: 4 mph [8.2]32.

[8.3]33. [8.4]34. [8.5]35.

[8.3]36. [8.6]37. [8.7]38.

QUADRATIC EQUATIONS, INEQUALITIES,

AND FUNCTIONS

Section 9.1 (pages 502–505)

1.B, C 3.The zero-factor property requires a product equal to 0. The

first step should have been to rewrite the equation with 0 on one side.

5. 
   
   
   
   7. 
      
      
      
      9. 
         
         
         
         11. 
             
             
             
             13. 
                 
             
             
             
             
         
         
         
         
      
      
      
      
   
   
   
   


6. 
   
   
   
   17. 
       
       
       
       19. 
           
           
           
           21. 
               
           
           
           
           
       
       
       
       
   
   
   
   


7. 
   
   
   
   25. 
       
       
       
       27. 
           
       
       
       
       
   
   
   
   


8. 
   
   
   
   31. 
       
       
       
       33. 
           
       
       
       
       
   
   
   
   

35.5.6 sec 37.Solve by the square root property.

Solve by completing the square. 39.9;

41.36; 43. 45.

47.0.16; 49. 4 51. 25 53. 55.

57. 
    
    
    
    59. 
        
        
        
        61. 
            
        
        
        
        
    
    
    
    


58. 
    
    
    
    65. 
        
        
        
        67. 
            
        
        
        
        
    
    
    
    


59. 
    
    
    
    71. 
        
        
        
        73. 
            
        
        
        
        
    
    
    
    


60. 
    
    
    
    77. 
        
        
        
        79. 
            
            
            
            81. 
                
            
            
            
            
        
        
        
        
    
    
    
    


61. 
    
    
    
    85. 
        
        
        
        87. 88.x 89. 6 x
        
        
        
        
    
    
    
    


62. 1 91. 9 92. or 93.


63. 
    
    
    
    97. 
        
        
        
        99. 
            
            
            
            101. 1
            
            
            
            
        
        
        
        
    
    
    
    

Section 9.2 (pages 510–512)

1.The documentation was incorrect, since the fraction bar should extend

under the term The correct formula is

3.The last step is wrong. Because 5 is not a common factor in the

numerator, the fraction cannot be simplified. The solution set is

. 5. 7. 9. u
1  23
2
u v

• 2  22
  2
  u 5 3, 5 6 v
  5  25
  10
  v

x=

• b 2 b^2 - 4 ac
  2 a


• b..

u 213

2 b 23 a

5

u v

2 b^2 + 16

2

v

1 x+ 322 , x^2 + 6 x+ 9 E 2 bF

u- E- 3 i 23 F x^2

2

3



222

3

i v

u 5 - 2  3 i 6

1

6



22

3

E 2 i 23 F E 5  2 iF iv

u E 1  22 F

2  23

3

u v

4  23

3

v

u

5  215

5

u v

• 5  241
  4
  u v


• 7  253
  2
  v

E- 2  26 F E- 5  27 F E- 38 , 3F

1 x-0.4 22 361 5 - 4, 6 6

1

64 ; Ax+

1

8 B

81 2

4 ; Aq+

9

2 B

1 p- 622 2

x^2 + 4 x= 12 1 x+ 322

12 x+ 122 = 5

u

2  223

5

u v

• 1  226
  4
  u v
  1  27
  3
  v

5 - 1, 13 6 E 4  23 F E- 5  423 F

E 422 F E 225 F E 226 F 5 - 7, 3 6

5 - 2, - 16 E-3, 31 F E^12 , 4F 5  96 E 217 F

9

229 5 3, 4 6 4 + 2 i

210 + 222

2

2 x 236 x^2 y^2722

1

9

0

1

xy- 1

• 1
  a+b
  -^94

4 x+ 2 y

1 x+y 21 x-y 2

y

y+ 5

5 x|xZ 36

1 x+ 821 x^2 - 8 x+ 642 E-3, - 25 F E- 52 , 1F

A-20 Answers to Selected Exercises

[3.2, 3.3]11. ;

[3.6]12.

[4.1]13.

[4.4]14. 51 - 1, 1, 1 26

51 7, - 226

• 37
  -^32 y=-^32 x

x

y

0

3

–6 3

f(x) = √x + 6

[4.3]15.2-oz letter: $0.61; 3-oz letter: $0.78
[5.2]16. [5.4]17.

[5.5]18.

[6.2]19. 12 p- 3 q 21 p-q 2 [6.3]20. 13 k^2 + 421 k- 121 k+ 12

3 y^3 - 3 y^2 + 4 y+ 1 +

• 10
  2 y+ 1


• k^3 - 3 k^2 - 8 k- 9 8 x^2 + 17 x- 21