Reference no: EM131034834
1) Find the domain of the function and write it in set notation:
f(x) = (x - 4) / (x2 - 5x - 24)
2) Perform the indicated operations and simplify your answer:
(x2 - 36) / (21x3) · (7x) / (x2 - 12x + 36)
3) Perform the indicated operation and simplify your answer:
{(10x2 - 5x - 30) / (12x2 + 9x)} / {(6x2 - x - 15) / (12x2 - 11x - 15)}
4) Perform the indicated operation and simplify your answer:
{8 / (x - 2)} - {5 / (x + 3)}
5) Perform the indicated operation and simplify your answer:
{4 / (x - 6)} - {(3x + 1) / (6 - x)}
6) Solve the equation and show the check of your solution(s). Use the method discussed in Section 6.5 of our text, clearing fractions from the equation first.
5 / (x - 6) = x / (x - 2)
7) Solve the equation and show the check of your solution(s). Use the method discussed in Section 6.5 of our text, clearing fractions from the equation first.
{x / (x - 2)} + {1 / (x - 4)} = 2 / (x2 - 6x + 8)
8) When Linda and Martin work together painting one room, they can complete the work in 5 hours. When Linda works alone, it takes her 7 hours to paint the same room. How long would it take Martin to paint the room alone?
9) Acar travels 280 miles in the same time that a motorcycle travels 240 miles. If the car's speed is 10 miles per hour more than the motorcycle's, find the speed of the car and the speed of the motorcycle.
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Find the speed of the car and the speed of the motorcycle
: Acar travels 280 miles in the same time that a motorcycle travels 240 miles. If the car's speed is 10 miles per hour more than the motorcycle's, find the speed of the car and the speed of the motorcycle.
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