Intermediate Algebra (11th edition)

43. 
    

45. 
    

47. 
    

49.domain: range: 51.function

Chapter 9 Review Exercises (pages 562–566)

1. 
   
   
   
   2. 
      
      
      
      3. 
         
         
         
         4. 
            
         
         
         
         
      
      
      
      
   
   
   
   


2. 
   
   
   
   6. 7.By the square root property, the
   
   
   
   

first step should be or. The solution set is

8.5.8 sec 9. 10.

11. 
    
    
    
    12. 
        
        
        
        13. 
            
        
        
        
        
    
    
    
    


12. 15.C 16.A 17.D 18.B 19.


13. 
    
    
    
    21. 
        
        
        
        22. 
            
            
            
            23. 
                
            
            
            
            
        
        
        
        
    
    
    
    


14. 25.7 mph 26.40 mph 27.4.6 hr

28.Zoran: 2.6 hr; Claude: 3.6 hr 29. 30.

31. 32.9 ft, 12 ft, 15 ft

33.12 cm by 20 cm 34.1 in. 35.18 in. 36.5.2 sec 37.3 min

38. (a)$15,511 million; It is close to the number suggested by the graph.

(b) which represents 2006; Based on the graph, the revenue in
2006 was closer to $13,000 million than $14,000 million. 39.

40. 1 3, 7 2 41. 1 - 4, 3 2 42.A 32 , - 32 B

1 1, 0 2

x=6,

t=

3 m 29 m^2 + 24 m

2 m

y=

6 p^2

z

v=

 2 rFkw

kw

5 1,  36

E-^12 , 1F 5 - 46 E-^116 , -^1912 F E-^3438 , 64F

e E-^52 , 3F

• 7  237
  2
  f

e

2

3



22

3

e- if

3

4



223

4

e if

1  241

2

f

e

• 5  253
  2
  E 223 F. E- 27 , 3F f

x= 212 x=- 212

E- 2  219 F E^12 , 1F

5  116 E 23 F E-^152 ,^52 F E^23  35 iF

5 0, 1, 2, 3 6 ; 5 1, 2, 4, 8 6

5

–2 (^03)
A-2,^53 B ́A^53 , qB
(^032)
C^32 , qB
1
2
5
(^012)
A0,^12 B ́A^52 , qB 51.

52. 
    
    
    
    53. 
        
    
    
    
    

54.

55. 
    
    
    
    56. 
        
    
    
    
    


56. 
    
    
    
    58. 
        
        
        
        59. 
            
        
        
        
        
    
    
    
    


57. 
    
    
    
    61. 
        
        
        
        62. 
            
        
        
        
        
    
    
    
    


58. 
    
    
    
    64. 
        
        
        
        65. 
            
        
        
        
        
    
    
    
    


59. 
    
    
    
    67. (a)F (b)B (c)C
        (d)A (e)E (f )D
        68.vertex: ; axis: ;
        domain: ; range:
    
    
    
    

69.10 mph 70.length: 2 cm; width: 1.5 cm

Chapter 9 Test (pages 566–568)

[9.1]1. 2. 3.

[9.2]4. 5. [9.3]6.

[9.1]7.A [9.2]8.discriminant: 88; There are two irrational solutions.

[9.1–9.3]9. 10. 11.

12. [9.4]13. [9.3]14.Terry: 11.1 hr;

Callie: 9.1 hr 15.7 mph [9.4]16.2 ft 17.16 m [9.5]18.A

r=

 2 pS

2 p

E-^52 , 1F

u E 13 ,  (^2) F

• 7  297
  8
  E-^23 , 6F v

u E^23 F

2

3



211

3

u iv

3  217

4

v

E 326 F E-^87 ,^27 F E- 1  25 F

1 - q, q 2 3 - 3, q (^2) x
y
–2 0
–3
f(x) = 4x^2 + 4x – 2
A-^12 , - 3 B x=- 21
1 - q, - 62 ́A-^32 , 1B
A-5, -^235 D E-^53 , -^32 F 5 - 2, -1, 3, 4 6
1 - q, q (^2546) E 34 + 215 , 34 - (^215) F
d=
 2 SkI
I
e

• 11  27
  3
  e 1  f
  23
  3
  if

R=

 2 Vh-r^2 h

–3 0 2 h

3 - 3, 2 2

0 12 2

A-q,^12 B ́ 1 2, q 2

0

–5 –2 0 3

1 - q, - 54 ́ 3 - 2, 3 4

–4 0 3

3 - 4, 3 4

48.5 sec; 400 ft 49.length: 50 m; width: 50 m; maximum area: 2500

50. 
    

-^3204

A-q, -^32 B ́ 1 4, q 2

m^2

Answers to Selected Exercises A-23

43.vertex: ;
axis: ;
domain: ;
range:

44.vertex: ;

axis: ;

domain: ;

range:

45.vertex: ;

axis: ;

domain: ;

range:

x

y

0

–3

–4 4

x = 2(y + 3)^2 – 4

1 - q, q 2

3 - 4, q 2

y=- 3

1 - 4, - 32

x

y

–5

02

3

f(x) = –2x^2 + 8x – 5

1 - q, 3 4

1 - q, q 2

x= 2

1 2, 3 2

x

y

–3

02

5

y = 2(x – 2)^2 – 3

3 - 3, q 2

1 - q, q 2

x= 2

1 2, - 32

x

y

0

6

–4 4

x = –^12 y^2 + 6y – 14

46.vertex: ;
axis: ;
domain: ;
range: 1 - q, q 2

1 - q, 4 4

y= 6

1 4, 6 2 47. (a)

(b)

(c)$60.3 billion; The result using

the model is close, but slightly low.

ƒ 1 x 2 =0.054x^2 +1.6x+2.9

400 a+ 20 b+c=56.5

100 a+ 10 b+c=24.3

c=2.9

19.vertex: axis: ;

domain:

range:

[9.6]20.vertex: 2, 3 ; axis: ;

domain:

range:

x

y

0 2

3

f(x) = –x^2 + 4x – 1

1 - q, 3 4

1 - q, q 2 ;

1 2 x= 2

x

y

–2^4

0

f(x) =^12 x^2 – 2

3 - 2, q 2

1 - q, q 2 ;

1 0, - 22 ; x= 0

25.

094

1 - q, 4 2 ́ 3 9, q 2

21.vertex: 2, 2 ; axis: ;

domain:

range:

x

y

–2^02

2

x = –(y – 2)^2 + 2

1 - q, q 2

1 - q, 2 4 ;

1 2 y= 2 22. (a)139 million (b)2007;

145 million 23.160 ft by 320 ft

[9.7]24.

–5 0 3

2

1 - q, - 52 ́A^32 , qB