Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x, C(x) = x + 4.
Find the profit function. Show all work and give the profit function.

Step-by-step explanation:

Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars.

Profit function = Revenue  - cost

So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

Profit function of x

=

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it