Answer:
A
Step-by-step explanation:
A
Answer:
I would say that it's y = -4
Step-by-step explanation:
Because if you're shifting to the left you are decreasing.
If you were to move left on a graph you'd be going towards the negative side.
10x + 3(2x + 5) = 19
10x + 6x + 15 = 19
16x + 15 = 19
16x = 4
x = 1/4
2(1/4) + 5
.5 + 5
y = 5.5
(1/4, 5.5) is your final answer
The answer is 9 3/7 the last one
<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.