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2 years ago

Find the function rule

Mathematics

1 answer:

dybincka [34]2 years ago

6 0

1/-5, because when x increases by 1, y decreases by 5

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Gnesinka [82]

Angle pml =39
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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 the domain and range?

Viefleur [7K]

Answer:

Domain is your x max and Min, Range is your y max and Min

Step-by-step explanation:

Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

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2 years ago

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I need help <br><br> Will mark brainliest

madam [21]

Answer:

sorry about my writing I know is awful.

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2 years ago

1.3 Find the next number in the sequence: -16; -9; -2: _ a. 12 6.7 C. 5 d.-5 1.4 3 = b.1 6.6 d. 27

iogann1982 [59]

Answer:

given sequence, -16; -9; -2: _

first term(a)=-16

common difference(d)=-9-(-16)=7

next term is 4

4th term=a+(n-1)d

=-16+(4-1)7=-16+21=5

<u>c.5</u>

7 0

2 years ago

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