Question

the height is determined by a function F (x)9x2+3x-5 then the height was determined by the function P(x)=6x2-2x+3,write the function that determines the height of the water i a pool if booth hoses are on the same time.

Answer 1

Q(x) = 15x^2 + x - 2.

Explanation:

To find the height of the water in a pool when both hoses are on, we need to add the values of the two functions, F(x) and P(x), at a given x value. The new function, Q(x), that determines the height of the water in the pool can be expressed as follows:

Q(x) = F(x) + P(x) = 9x^2 + 3x - 5 + 6x^2 - 2x + 3 = 15x^2 + x - 2

So the height of the water in the pool is determined by the function Q(x) = 15x^2 + x - 2.