Question

Guess please help i’m so desperate

Answer 1

`P(x) = x^2+24x+5`

Explanation:

Functions

In a function, an independent variable, let's call it x is related to a dependent variable y and it can be expressed as:

y = f(x)

Let's consider the functions given in the question, where the equation that represents a company's yearly sales is:

`S(x)=2x^2+24x`

And the equation that represents the same company's yearly expenses is:

`E(x)=x^2-5`

The company's profit function P(x) can be found as the difference between S(x) and E(x), thus:

`P(x) = S(x)-E(x)=2x^2+24x-(x^2-5)`

Operating:

`P(x) = 2x^2+24x-x^2+5`

Simplifying, the profit function for this company is:

`\boxed{P(x) = x^2+24x+5}`