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djverab [1.8K]
2 years ago
6

Find the range of (f+g)(x) when f(x) = (x+4)^2 and g(x) = 3

Mathematics
1 answer:
qwelly [4]2 years ago
7 0

(f+g)(x)=f(x)+g(x)\\\\f(x)=(x+4)^2;\ g(x)=3\\\\(f+g)(x)=(x+4)^2+3=(x)^2+2(x)(4)+4^2+3\\\\=x^2+8x+16+3=x^2+8x+19\\\\Used:\\\\(a+b)^2=a^2+2ab+b^2

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Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(
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Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0
3 years ago
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Answer:

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2 years ago
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Step-by-step explanation:

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in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence

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3 years ago
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40=15+c

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8 0
2 years ago
Read 2 more answers
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Answer:

The answer is "NOT"

Step-by-step explanation:

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3 years ago
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