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2 years ago

Pls help me. Show proof on why it’s that answer.

Mathematics

1 answer:

nata0808 [166]2 years ago

8 0

I think it’s thermal energy because since it’s burning up it’s hot

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2 years ago

Is 447 a term of t(n)=24-5n ?

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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

Find the slope between (7,3) and (25,9)

lara [203]

1/3
Y2-y1/x2-x1
9-3/25-7 substitute
6/18. Subtract
1/3. Simplify

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2 years ago

Pre-algebra<br> Due urgently<br> Tysm

leva [86]

Answer:

y = 4 / x = 2

Step-by-step explanation:

Insert x equation for variable x

y = 2(-y+6)

simplify

y= -2y + 12

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3y= 12

divide both sides by 3

y = 4

Insert 4 as y in y =2x

4=2x

divide both sides by 2

x=2

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1 year ago