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2 years ago

Rearrange the formula to make b the subject a = √((b) /4 )-2

Mathematics

1 answer:

seropon [69]2 years ago

6 0

Answer:

A=12

Step-by-step explanation:

So if your equation is carrat over b you have to find 4 and -2 first then find your substitute

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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,

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

3 0

3 years ago

A store has forty two diet sodas and six regular sodas. How many times more diet sodas did they have than regular sodas?

scoundrel [369]

Answer:

Step-by-step explanation:

42/6 = 7

6 0

3 years ago

Read 2 more answers

Do I have the right answer?

Vsevolod [243]

Yes, I think I’m not sure correct me if I’m wrong .

3 0

3 years ago

Define a paragraph proof

Allushta [10]

Answer:

The paragraph proof is a proof written in the form of a paragraph. In other words, it is a logical argument written as a paragraph, giving evidence and details to arrive at a

3 0

2 years ago

Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolat

zlopas [31]

Answer: 12:9

Step-by-step explanation:

He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9

And it is also 12:9 is because they ask milk chocolate TO almond chocolate .

4 0

3 years ago