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3 years ago

Which expression represents the perimeter of the figure below?

Mathematics

2 answers:

makkiz [27]3 years ago

4 0

Answer:

The answer is (C)

Step-by-step explanation:

grigory [225]3 years ago

4 0

Answer:

The third expression, 5x+2y+z

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, you would count how many x's there are {there are 5}.

Then how many y's there are {2}

Then how many z's there are {1}

Then you add those up:

5x+2y+z

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

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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

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?

seropon [69]

Answer:

The integers are (x, y) = (40, 8).

Step-by-step explanation:

x = 5y

xy = 320

Substitute the first equation into the second equation.

(5y)(y) = 320

5y^2 = 320

y^2 = 64

y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

6 0

2 years ago

Last week, a family ordered dinner through a local food delivery service. The food was $45. They had a coupon for 15% off the to

Stolb23 [73]

$38.25) you multiple 45 by .15 then subtract the product from 45 and get your answer

4 0

3 years ago

All pieces of pizza must be square with none left over. What is the side length of the largest square pieces into which Juanita

Ber [7]

Answer:

6 in

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Juanita and samuel are planning a pizza party. they order a rectangle sheet pizza that measures 21 inches by 36 inches.? they tell the pizza maker not to cut it because they want to cut it themselves. All pieces of pizza must be square with none left over. what is the side length of the largest square pieces into which juanita and samuel can cut the pizza?

First we need to calculate the area of the rectangular pizza.

Area of a rectangle = Length × Breadth

Area of the rectangular pizza= 21×36

Area of the rectangular pizza = 756in²

Next is to equate the area of the rectangle to the area of a square.

Area of a square = L²

Therefore L² = 756

L = √756

L = √36×21

L = √36×√21

L = 6√21

This means that the length if the largest square they can cut is 6in (ignoring the irrational part of the length gotten)

7 0

3 years ago

A plane flies round-trip to Philadelphia. It flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi

VMariaS [17]

1430 miles in 6.5 hours because you multiply 220 by 6.5 and equals 1430miles

8 0

3 years ago