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2 years ago

Evaluate the expression when x=2 . -3x+1.5+2.5x-4.5+8x

Mathematics

1 answer:

dlinn [17]2 years ago

3 0

Answer: 12

Step-by-step explanation:

For this problem, all you have to do is plug in x=2 into all the x you see.

-3(2)+1.5+2.5(2)-4.5+8(2)

-6+1.5+5-4.5+16=12

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A pitcher of fruit punch holds 2 gallons. If nine people share the entire pitcher equally, how much punch does each person get?

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2 gallons divided between 9 people would equal 0.222222222 gallons per person

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3 years ago

Mike decided to sell all of his old books he gathered up 9 books to sell he sold 2 books in a yard sale how many books does mike

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Step-by-step explanation:

9 - 2 = 7

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2 years ago

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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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3 years ago

Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the

ivann1987 [24]

Answer:

A = 58

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Step-by-step explanation:

A + B = 180 Supplementary angles

B = 2A - 24 Given

Substitute for B in the first equation

A + 2A - 24 = 180

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A = 68

B = 2A - 24

B = 2*68 - 24

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2 years ago

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