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2 years ago

Which ordered pair is a solution of the equation? 7x-2y=-57x

Mathematics

1 answer:

stepladder [879]2 years ago

8 0

Answer:

D Neither

Step-by-step explanation:

D neither

Hope it helps you in your learning process.

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The man is 6 feet tall. His shadow is 14 feet long. The tree's shadow is 49 feet long. Find the tree's height.

Tatiana [17]

Answer:

21 ft

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p

zvonat [6]

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on <u>day 4</u>, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³ since you are multiplying by 1.25 3 times

--------------------------------------------------

Answer:

125 responses

5 0

2 years ago

omar is saving to buy a game hes saved 30 dollars which is six-fifths of total game cost. how much does it cost?

Rzqust [24]

The game costs 25 dollars. If 6/5 = 30 then 5/5 would be 25

3 0

3 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,

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

3 0

2 years ago

How do I find the slope to this equation ?<br> 2х-Зу = 12

evablogger [386]

Answer:

slope = $\frac{2}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = $\frac{2}{3}$ x - 4 ← in slope- intercept form

with slope m = $\frac{2}{3}$

3 0

3 years ago

Read 2 more answers