Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = 3/ 5 , x in Quadrant I

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Find the zeros of the function. write the smaller solution first, and the larger solution second f(x)= (x+6)^2-49

If f(x)= 3x+6 which of the following is the inverse of f(x)