Answer:
Step-by-step explanation:
For the first one, revenue - cost = profit. We have equations for revenue and profit, so filling in:
[tex]-.3x^2+150x-cost=-.5x^2+250x-300[/tex]
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:
[tex].2x^2-100x+300=cost[/tex]
For the second one:
P(x)*T(x) = [tex](x^2-3x-7)(3x)[/tex]
Distribute the 3x into everything inside the parenthesis to get
[tex]3x^3-9x^2-21x[/tex]
For the second part of that problem, C(x)*P(x) = [tex](x-4)(x^2-3x-7)[/tex]
Distribute the x into everything first to get:
[tex]x^3-3x^2-7x[/tex]
The distribute the -4 into everything to get:
[tex]-4x^2+12x+28[/tex]
Combine the like terms and put everything together to get
[tex]x^3-7x^2+5x+28[/tex]
