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tamaranim1 [39]
3 years ago
15

The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the ave

rage cost less than 100, given the cost function is C(x) = 10x + 360?
A.) (0,4)
B.) (-infinity, 0) U (4, infinity)
C.) (4, infinity)
D.) (-infinity, 0] U [4, infinity)
Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0
Answer will have to be     ( B )
o-na [289]3 years ago
7 0

The answer is c, believe me.

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F’(x)= 1+3 square root x f(9)=68
notka56 [123]

Answer:

f(x) = x + 2x^\frac{3}{2} + 5

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx

Apply the reverse power rule

x + 2x^\frac{3}{2} + C

Now solve for C when x = 9

x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5

Now substitute into the antiderivative

f(x) = x + 2x^\frac{3}{2} + 5

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3 years ago
Write the following Arithmetic Sequence using a Recursive Formula: an = -7 + 3(n – 1)
Ostrovityanka [42]

9514 1404 393

Answer:

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Step-by-step explanation:

Comparing the given formula to the general form for the n-th term of an arithmetic sequence ...

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we see that the first term (a1) is -7, and the common difference (d) is +3.

The recursive version of the sequence definition is ...

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So, the appropriate choice is ...

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