Intermediate Algebra (11th edition)

568 CHAPTER 9 Quadratic Equations, Inequalities, and Functions

23.Houston Community College is planning to construct a rectangular parking lot on land

bordered on one side by a highway. The plan is to use 640 ft of fencing to fence off the

other three sides. What should the dimensions of the lot be if the enclosed area is to be a

maximum?

Solve each inequality, and graph the solution set.

5

t- 4

2 x^2 + 7 x 715 ... 1

1.Let. List the elements of Sthat are

elements of each set.

(a)Integers (b)Rational numbers (c)Real numbers (d)Complex numbers

Solve each equation or inequality.

4. 5.

6. 7.

8. 9.

10. 11.

Graph each relation. Tell whether or not y can be expressed as a function f of x, and if so, give

its domain and range, and write using function notation.

12. 
    
    
    
    13. 
        
        
        
        14. 15.Find the slope and intercepts of the line with equation.
            16.Write an equation for the specified line. Express each equation in slope-intercept form.
            (a)Through and parallel to the line with equation
            (b)Through and perpendicular to the line with equation
        
        
        
        
    
    
    
    

Solve each system of equations.

1 - 4, 1 2 5 x+ 2 y= 6

1 2, - 32 5 x+ 2 y= 6

• 2 x+ 7 y= 16

4 x- 5 y= 15 4 x- 5 y 615 y=- 21 x- 122 + 3

3

p+ 2

x^2 - 4 x+ 360 71

• 2 x+ 4 ...-x+ 3 | 3 x- 7 |... 1

1 r- 5212 r+ 32 = 1 x^4 - 5 x^2 + 4 = 0

3

x- 3

-

2

x- 2

=

3

x^2 - 5 x+ 6

2 x=

B

5 x+ 2

3

7 - 14 + 3 t 2 + 2 t=- 61 t- 22 - 5 | 6 x- 9 |=|- 4 x+ 2 |

S=E-^73 , -2, - 23 , 0, 0.7, 212 , 2 - 8 , 7,^323 F

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1–9

17. 18.

2 x+ 3 y- z=- 8

• x+ y+ z=- 5

x+ y+ 2 z= 3

9 x+ 3 y= 3

2 x- 4 y= 10

19.In 2009, the two American computer software companies with the greatest revenues were

Microsoft and Oracle. The two companies had combined revenues of $82.8 billion. Rev-

enues for Microsoft were $6.8 billion less than three times those of Oracle. What were the

2009 revenues for each company? (Source: Fortune.)

Write with positive exponents only. Assume that variables represent positive real numbers.

20. 21.

14 x-^22212 y^32

8 x-^3 y^5

a

x-^3 y^2

x^5 y-^2

b

• 1