<h3>
Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>
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Explanation:
If you know the cost function C(x), to find the marginal cost, we apply the derivative.
Marginal cost = derivative of cost function
Marginal cost = C ' (x)
Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.


D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).
To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.
Therefore, we go from this

to this

which is the final answer.
Answer:
(3,2) i hope this answer will help you
Answer:
option D
2x − 7(−3x − 17) = 4
Step-by-step explanation:
Given in the question two equations
<h3>Equation 1</h3>
2x - 7y = 4
<h3>Equation 2</h3>
3x + y = -17
Rearranging equation 2 in terms of y
3x + y = -17
y = -17 - 3x
Put this value of y in Equation 1
2x - 7y = 4
2x - 7(-17 - 3x) = 4
So,
If you use the substitution method to solve the following system, new equation will be
<h3>2x - 7(- 3x - 17) = 4 </h3>
Answer:
see below
Step-by-step explanation:
The parent function is x^2 which is a parabola at vertex (0,0)
g(x) = ( x+3) ^2
y = f(x + C) C > 0 moves it left
So the parabola is shifted to the left 3 units
h(x) = -( x+3) ^2
y = −f(x)
Reflects it about x-axis
Means flip it about the x axis
There is not enough information to answer the question. To answer it, you need to know how much gas is in her gas tank and how far she needs to travel.