Question

Asking for help in the following question #1 and #2 are based of algebra 2.

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Answer 1

Explanation:

For the first one, revenue - cost = profit. We have equations for revenue and profit, so filling in:

`-.3x^2+150x-cost=-.5x^2+250x-300`

Let's add cost to both sides to make it positive and bring everything on the right over to the left and combine like terms:

`.2x^2-100x+300=cost`

For the second one:

P(x)*T(x) =
`(x^2-3x-7)(3x)`

Distribute the 3x into everything inside the parenthesis to get

`3x^3-9x^2-21x`

For the second part of that problem, C(x)*P(x) =
`(x-4)(x^2-3x-7)`

Distribute the x into everything first to get:

`x^3-3x^2-7x`

The distribute the -4 into everything to get:

`-4x^2+12x+28`

Combine the like terms and put everything together to get

`x^3-7x^2+5x+28`