Beginning Algebra, 11th Edition

Solve by the method of your choice.

Solve each problem.

15.If an object is projected vertically into the air from ground level on Earth with an initial

velocity of 64 ft per sec, its altitude (height) sin feet after tseconds is given by the formula

At what time will the object be at a height of 64 ft?

16.Find the lengths of the three sides of the right triangle.

*Perform each indicated operation.

Identify the vertex and sketch the graph of each equation.

21. 
    
    
    
    22. 
        
        
        
        23. 24.Refer to the equation in Exercise 23.
            (a)Determine the number of real solutions of by looking at the graph.
            (b)Use the quadratic formula to find the exact values of the real solutions. Give the
            solution set.
            (c)Use a calculator to find approximations for the solutions. Round your answers to the
            nearest thousandth.
            25.Find two numbers whose sum is 400 and whose product is a maximum.
        
        
        
        
    
    
    
    

x^2 + 6 x+ 7 = 0

y=x^2 - 6 x+ 9 y=-x^2 - 2 x- 4 ƒ 1 x 2 =x^2 + 6 x+ 7

15 - 5 i

7 +i

13 - 8 i 213 + 8 i 2

13 +i 2 + 1 - 2 + 3 i 2 - 16 - i 2 16 + 5 i 21 - 2 +i 2

s=- 16 t^2 + 64 t.

1 x- 5212 x- 12 = 1 t^2 + 25 = 10 t

p^2 - 2 p- 1 = 0 12 x+ 122 = 18

594 CHAPTER 9 Quadratic Equations

x

x + 8

x + 4

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1– 9

Perform each indicated operation.

Solve each equation.

5. 
   
   
   
   6. 
      
   
   
   
   


6. 
   
   
   
   8. 21 m- 12 - 613 - m 2 =- 4
   
   
   
   

3

5

t-

1

10

=

3

2

x- 5 = 13 3 k- 9 k- 8 k+ 6 =- 64

• 4 r+ 14 + 3 r- 7 514 m- 22 - 1 m+ 72
  
  
  • 9 - 1 - 82122 + 6 - 16 + 22
  
  
  
  


• 4 # 32 + 2 # 3
  2 - 4 # 1

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