The endpoints of the directed line segment AB are A(1,7) and B(5, 15). Find the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1

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

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: