Evaluate the expression
5⋅x3x2\dfrac{5\cdot x^3}{x^2}
x
2
5⋅x
3

start fraction, 5, dot, x, start superscript, 3, end superscript, divided by, x, start superscript, 2, end superscript, end fraction
for
x=2x=2
x=2
x, equals, 2

  10

Step-by-step explanation:

For x=2, this is ...

  5·2 = 10

10.

Step-by-step explanation:

We have been given an expression . We are asked to evaluate our expression for .

To evaluate our expression, we will substitute in our given expression.

Using exponent rule , we will get:

Therefore, the value of our given expression is 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