What is the value of x? Show your work.

9514 1404 393

  x = 5

Step-by-step explanation:

The left-side bottom edge is marked as 30. The total bottom edge is marked as 45, so the right side length will be ...

  45 -30 = 15

The top (slanted) edge marked 10 is 1/3 the length of the corresponding bottom edge (30). Then x will be 1/3 of 15, or ...

  x = 5

If you like, you can write a proportion:

  total/long part = (10+x)/10 = 45/30

  30(10+x) = 45(10)

  10+x = 15 . . . . divide by 30

  x = 5 . . . . . . . . subtract 10

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

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: