Will the decimal expansion of 7/80 be finite or infinite
1 answer:
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The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
- <em>The equation for f(l) is: </em>
<em>.</em>
- <em>The desired length and width are 8m and 4m</em>
<em />
Given that:
Divide both sides by 2
<u>Equation of f(l)</u>
The sum of the length and the width is represented as: f(l).
So, we have:
Substitute
See attachment for the graph of f(l)
<u>The desired dimension</u>
From the question, we understand that the total length is 12m.
This means that:
So, we have:
Divide both sides by 1.5
Recall that:
Hence, the desired length and width are 8m and 4m, respectively.
Read more about linear equations at:
<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.