The function f(t) represents water going into a swimming pool with respect to the number of...

The function f(t) represents water going into a swimming pool with respect to the number of hours(t) water is flowing in where(t) represents time.f(t)=t squared +8t+9

There is a leak in the pool and it’s losing water at a rate represented by d(t)
d(t)=t squared +11t+4

a. Write a function to represent the amount of water in the pool using the two functions.
b. Use the new function w(t) to determine if the pool will leak all of the water.
c. If the pool will drain of all water, how much time will it take?
d. Will f(t) and d(t) intersect on a graph? Explain what it means if they do.
e. What is the domain of f(t),d(t) , and w(t). Explain your answer.

Expert Solution

Colby Messinger answered 1 year ago

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