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2 years ago

Make a table as y=x^2.

Mathematics

1 answer:

Sindrei [870]2 years ago

8 0

Answer:

-0

Step-by-step explanation:

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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

2 years ago

a total of 40 people make cakes for a bake sale. Each person made three cakes. Miss Shantez found that 15% of the cakes were cho

11Alexandr11 [23.1K]

1 person make 3 cakes.

40 people make 40 x 3 = 120 cakes.

15% were chocolate = 15% x 120 = 0.15 x 120 = 18

Answer: There were 18 chocolate cakes made for bake sale.

6 0

3 years ago

Read 2 more answers

If you know the radius, r, of a circle, what do you multiply rby to get the circle's CIRCUMFERENCE?

KengaRu [80]

Answer:

C=2 x pi x radius

Step-by-step explanation:

7 0

2 years ago

19. How long is the pencil shown below? 3.5 1 2 3 4 5 cm

arlik [135]