Intermediate Algebra (11th edition)

20.The graph shows the number of pounds of
shrimp caught in the United States (in thou-
sands of pounds) in selected years.
(a)Use the information given in the graph to
find and interpret the average rate of
change in the number of pounds of shrimp
caught per year.
(b)If represents the year 2000,
represents 2001, and so on, use your an-
swer from part (a) to write an equation of
the line in slope-intercept form that mod-
els the annual amount of shrimp caught
(in thousands of pounds, to the nearest
whole number) for the years 2000 through
2005.
(c)Use the equation from part (b) to approximate the amount of shrimp caught in 2003.

21.Give the domain and range of the relation

Does this relation define a function?

22.If find

Solve each system.

g 1 x 2 =-x^2 - 2 x+6, g 132.

51 - 4, - 22 , 1 - 1, 0 2 , 1 2, 0 2 , 1 5, 2 26.

x= 0 x= 1

CHAPTERS 1–5 Cumulative Review Exercises 317

200,000

300,000

100,000

400,000

Source: National Oceanic and

Atmospheric Administration.

Number of Pounds

(in thousands)

Shrimp Catch

Year

0 12345

(0, 322 ,4 86)

(5, 261,122)

23. 24. 25.

x+ 2 y+ 2 z=- 1

2 x- y+ z= 1

x+ 3 y- 6 z= 7

• 6 x+ 4 y= 7

3 x- 2 y= 4

2 x+ 3 y= 12

3 x- 4 y= 1

Use a system of equations to solve each problem.

26.The Star-Spangled Banner that flew over Fort
McHenry during the War of 1812 had a perimeter of
144 ft. Its length measured 12 ft more than its
width. Find the dimensions of this flag, which is
displayed in the Smithsonian Institution’s Museum
of American History in Washington, DC. (Source:
National Park Service brochure.)

27.Agbe Asiamigbe needs 9 L of a 20% solution of alcohol. Agbe has a 15% solution on
hand, as well as a 30% solution. How many liters of the 15% solution and the 30% solu-
tion should Agbe mix to get the 20% solution needed?

Simplify. Write answers with only positive exponents. Assume that all variables represent pos-
itive real numbers.

Perform the indicated operations.

33. 34. 35.

m^3 - 3 m^2 + 5 m- 3

m- 1

16 x^3 y^5 - 8 x^2 y^2 + 4

4 x^2 y

13 x+ 2 y 215 x-y 2

13 x^2 - 8 x+ 12 - 1 x^2 - 3 x- 92 1 x+ 2 y 21 x^2 - 2 xy+ 4 y^22

12 m-^2 n^32 -^3

x-^6 y^3 z-^1

x^7 y-^4 z

a

2 m^3 n

p^2

b

3