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1 year ago

If you can help me with this I would be thankful

Mathematics

1 answer:

viva [34]1 year ago

6 0

When a function is compose by its inverse, the result is its original input. Therefore,

$f(f^{-1}(x))=x$

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What is the length of the hypotenuse of the triangle when x=7?

Anika [276]

Answer:

c=57.8

Step-by-step explanation:

6*7+4=46

5*7=35

c= 46^2+35^2=57.80138

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3 years ago

SEP Use Mathematics: The Pacific Plate moves to the northwest at an average rate of 10 cm per year. Hawaii is in the middle of t

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Step-by-step explanation:p

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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,

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

3 0

3 years ago

What is 7/4 plus -1/2 plus 2/3? And what’s the answer

vichka [17]

Answer:

1.85

Step-by-step explanation:

1.75-0.5+0.6= 1.85 or 1 17/20

4 0

3 years ago

Please help. Answer only if you know the correct answer. I’ll mark you as brainliest if correct.

zavuch27 [327]

Answer:

37 miles an hour

Step-by-step explanation:

you set up a ratio

100/62 on left 60/x on right

cross mult and get 100x=60(62)

100x=3720

x= 37.2

8 0

3 years ago

Read 2 more answers