Answer the following
1 answer:
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In the given question, we have to perform this experiment and test if the inequality is true or not.
Adding the same value to both sides of the inequality will not change the inequality sign
<h3>Inequality</h3>data;
- 4 < 7
- 11 > - 2
- -4 < - 2
- -8 < 8
In the first case, we would do follow the process
In the second case;
In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.
Learn more on inequality here;
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When they say quotient, they want a fraction, so the answer for that would be
and the decimal form of that would be 0.6. You can get that from dividing 6 by 10 and solving with long division.
and the decimal form of that would be 0.6. You can get that from dividing 6 by 10 and solving with long division.
<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.