Question

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

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Answer 1

Answer:

Step-by-step 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

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