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2 years ago

I need help please and thank you

Mathematics

1 answer:

Art [367]2 years ago

8 0

Answer:

$86.55

Step-by-step explanation:

8.5% x 95 = 8.455

95 - 8.455 = 86.545 = $86.55

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The line x = 6 is:<br> A. Cannot be determined<br> B. Horizontal<br> C. Neither<br> D. Vertical

jeka94

Answer:

Vertical

Step-by-step explanation:

Vertical line crossing the x-axis at 6. It does not cross the y-axis.

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3 years ago

On a vacation, DeVante and his family traveled 382 miles at 64 mph. How long did the trip take? (Round to the nearest hundredth)

Ilya [14]

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2 years ago

Which expression represents the phrase, "the quotient of two times a number decreased by six and three"?

Alex73 [517]

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2 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

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2 years ago

What is 8x-7(x+3)+5x

OLga [1]

Answer:

I'm not 100% sure love, but I think it would be 12x.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers