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1.

1/4x +4 – 4/X62-1 = 6/x – 1

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

The​ solution(s) is/are

nothing .

​(Type an integer or a simplified fraction. Use a comma to separate answers as​ needed.)

B.

The solution set is

StartSet x | x is a real number and x not equals nothing EndSet{x | x is a real number and x≠}.

​(Type an integer or a simplified fraction. Use a comma to separate answers as​ needed.)

C.

There is no solution.

2.

4x/x – 9 – 36/x + 9 = 648/x^2 – 81

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

The solution set is

StartSet x | x is a real number and x not equals nothing EndSet{x | x is a real number and x≠}.

​(Type an integer or a simplified fraction. Use a comma to separate answers as​ needed.)

B.

The​ solution(s) is/are

nothing .

​(Type an integer or a simplified fraction. Use a comma to separate answers as​ needed.)

C.

There is no solution.

3.

If there are x teams in a sports​ league, and all the teams play each other​ twice, a total of​ N(x) games are​ played, where N(x) = x^2 − x. A football league has 7 teams, each of which play the others twice. If the league pays $45 per​ game, how much will it cost to play the entire​ schedule?

The total cost will be? ______

4.

The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function

      

​f(x) = -3.449x^4 + 35.417x^3 - 94.105x^2 + 41.597x +75.329

Where x is the number of years since 1996. Find the number of bald eagles in the state in the winter of

2000.

The number of bald eagles in the state in the winter of 2000 is

.

​(Round to the nearest whole​ number.)

5.

Find the slope of the line.

A. The slope of the line is m=.

​(Simplify your answer. Type an integer or​ fraction.)

B. The slope is undefined.

6.

Find the slope of the line.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The slope of the line is M = .

​(Simplify your answer. Type an integer or​ fraction.)

B. The slope is undefined.

7.

Write an equation for the line shown on the right.

The equation of the line is Y = .

​(Type an expression using x as the variable. Simplify your answer. Use integers or fractions for any numbers in the​ expression.)

8.

Write an equation for the line shown on the right.

The equation of the line is Y = .

​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ expression.)

9. The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear​ function, using the points (1,10009) and (3,11300).

Predict the cost of college tuition in 20102010.

College​ Year, x

Estimated​ Tuition, y

1997−​1998, 0

​$9488

1998−​1999, 1

​$10009

1999−​2000, 2

​$10615

2000−​2001, 3

​$11300

2001−​2002, 4

​$12027

What is the linear model for the​ data? Y =

​(Type your answer in​ slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest tenth as​ needed.)

What will college tuition cost in

2010-2011​?

​$

​(Round to the nearest​ dollar.)