Factor trinomials
X^2 – 20x + 100

(x-10)^2

Step-by-step explanation:

We need to find 2 numbers that can add to -20 and multiply to 100. Using the factors of 100, I used -10 and -10. We set up the new equation like this

which is the same as

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

3

step-by-step explanation: