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vagabundo [1.1K]
2 years ago
7

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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2 gallons divided between 9 people would equal 0.222222222 gallons per person
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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
Arlecino [84]

Answer: He has 7 books.

Step-by-step explanation:

9 - 2 = 7

8 0
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)}

a)

At x = 50 units,

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

b)

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

c)

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}

3 0
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

B = 112

Step-by-step explanation:

A + B = 180                           Supplementary angles

B = 2A - 24                           Given

Substitute for B in the first equation

A + 2A - 24  = 180

3A - 24 = 180                         Add 24 to both sides

3A = 180 + 24                        Combine the right

3A = 204                               Divide both sides by 3

A = 204/3

A = 68

B = 2A - 24

B = 2*68 - 24

B = 136 - 24

B = 112

5 0
2 years ago
This figure shows △ABC . AD¯¯¯¯¯ is the angle bisector of ∠BAC . What is BD ?
Natali5045456 [20]

The answer to this is 3.75

3 0
3 years ago
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