Points a, b,c, and d are collinear and positioned in that order. solve for x. ab=2x + 30, ad= x + 32, cd= 8, and bc= 5

Step-by-step explanation:

we know that

Points A,B,C,and D are collinear and positioned in that order

so

AD=AB+BC+CD -----> by addition segment postulate

we have

substitute the given values and solve for x

Combine like terms right side

Group terms that contain the same variable

equal to

step-by-step explanation:

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