The volume of a rectangular prism is given by the formula v = lwh, where l is the length of the prism, w is the width, and h is the height. which expression represents the volume of the following rectangular prism? l=x+2 w=3x h=2x+9 a)2x^2+13x18 b) 6x^3+27x^2+54x c) 6x^3+39x^2+54x d)18x^4+117x^3+162x^2

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

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