Question

HEEELLLLPP!!!!!!!!!! Please help i hate algebra this is so confusing!!!!

I know that the answer is B, 60. But I need to know how i got to that answer. Please help i am so confused.
The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit? *

Answer 1

the other guy who answered is correct

Explanation:

Answer 2

Explanation is the answer

Explanation:

The max happens at the vertex. The line of symmetry runs through the vertex. So if you have the x-intercepts of the graph, the axis of symmetry will be the same distance from them but on opposite sides of the axis of symmetry. So if you have the x-intercepts then you can average them to fnd the x-coordinate of the middle point, the vertex.

So your factored form says the x-intercepts are (20,0) and (100,0).

So the x-coordinate of the vertex is (20+100)/2=120/2=60.

The question is asking for x-coordinate of the vertex so we are done.