A plane flies 440 miles with the wind and 340 miles against

Question

1) Find the domain of the function:

f(x) = (x - 3) / (x² - 7x - 8)

2) Perform the indicated operations and simplify your answer:

{(x² - 18x + 81) / 25x} · {5x² / (x² - 81)}

3) Perform the indicated operation and simplify your answer:

{(x² + 6x + 5) / (3x² - 9x -12)} / {(2x² + 9x - 5) / (2x² + 5x - 3)}    

4) Perform the indicated operation and simplify your answer:

{7 / (x - 4)} - {3 / (x + 5)}

5) Perform the indicated operation and simplify your answer:

{6 / (x - 3)} - {(x + 2) / (3 - x)}

6) Solve the equation and show the check of your solution(s):

{4 / (x2 - 1)} - 1 = 2 / (x - 1)

7) Solve the equation and show the check of your solution(s):

{3x / (x - 4)} - {6 / (x² - 7x + 12)} = 2x / (x - 3)

8) One electrician can rewire a home in 15 hours.  Her partner can rewire the same home in 9 hours. How long will it take the two electricians to rewire the home if they work together?

9) A plane flies 440 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 25 mph, find the speed of the plane in still air.

10) The weight of an object on or above the surface of Earth varies inversely as the square of the distance between the object and Earth's center.  If a person weighs 125 pounds on Earth's surface, find the person's weight 600 miles above the surface of the Earth. Assume that the radius of the Earth is 4000 miles. Round your answer to the nearest whole pound.