Which represents the solution(s) of the system of equations, y = x^2 - 2x - 15 and y = 8x - 40? determine the solution set
algebraically
(-5, -80)
(5.0)
(5,0) and (-5, -80)
no solutions

I can't English language better but I think this is the correct answer

Step-by-step explanation:

8x-40=x^2-2x-15

0=x^2-10x+25

0=x^2-5x-5x+25

0=x(x-5) -5(x-5)

0=(x-5)(x-5)

::x=5

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