1/3(x)=22-x
x/3=22-x
(x/3=22-x)3
3x=66-3x
6x=66
x=11
Answer:
The total cost of producing 91 units of ACME rocket fuel is $3999.99.
Step-by-step explanation:
The Marginal Cost is given by the following function
The total cost function is the integrative of the marginal cost function. So:
In which K, the integrative constant, is the fixed cost. So 
.
1. Find the total cost of producing 91 units of ACME rocket fuel.
This is TC(91).
So
The total cost of producing 91 units of ACME rocket fuel is $3999.99.
It may be easier to start from
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
Ok, the expression represents the total amount paid because the 4 is the total tax being ADDED to the rest of the expression is 3(26-7). We need to distribute the parentheses by doing: 3*26-3*7. The 3*26 is the three soccer balls multiplied the cost of each ball without the balls being on sale, which is the $26. This brings you to $78. However we then need to do the 3*7, which is the three soccer balls being multiplied by the amount of money you save on each ball being purchased since they're on sale. So that would be $21. Then, $78-$21=$57. $57 is the cost of the three soccer balls without the tax, so we then plug 57 back into the original equation and add 4 to it, since the $4 is the tax. And finally, $57+$4=$61, which is the total amount of money the coach spent on the 3 soccer balls.
For the second part of the equation: Since parentheses comes first in PEMDAS, we need to solve the parentheses first by solving 3(26-7). I've explained how to distribute that in the first explanation above. But basically you just distribute the parentheses using the three, which is 3*26-3*21. You then add four when you finish distributing the equation, since addition comes after parentheses in PEMDAS
