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3 years ago

I need it rnnn pleaseee

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (8, - 3) and (x₂, y₂ ) = (2, 6)

m = $\frac{6+3}{2-8}$ = $\frac{9}{-6}$ = - $\frac{3}{2}$

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

The equation of a line in slope- intercept form is

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

Given

y = 5 - 2x , that is

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

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Given g(x)=3x-3, solve for x when g(x)=6.

lana [24]

Answer:

Step-by-step explanation:

g ( x ) = 6

g ( x ) = 3x - 3

3x - 3 = 6

3x = 6 + 3

3x = 9

x = 9 / 3

x = 3

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2 years ago

What else equals 42 and 30 for multiply

aev [14]

Answer:

1 times 42 and 6 times 7 for 42

1 times 0 and 5 times 6

(I did this question in school once)

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3 years ago

Which set of data has the strongest linear association

Bad White [126]

It would be the bottom right because it’s closest to a line

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3 years ago

*WILL GIVEE BRAINLIEST FOR THE BEST ANSWER* Which of the following is NOT a biased sample?

Dafna1 [17]

Answer:

Step-by-step explanation:

All other options are more biased

In B, the official wants to use 50 people from a library to represent the entire town's opinion on the library itself.... that's biased.

In C, it's the same. Of course basketball players would like to watch basketball.... right?? That's why the choice is biased.

In D, the location is a deli.... and from experience people order meat at a deli... cuz why else go there?

8 0

3 years ago

Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers

lora16 [44]

Answer:

Part A)

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

$\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}$

Where P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

We want to find dy/dx.

So, let’s find our equation in terms of x. We can raise both sides to 10/7. Hence:

$\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}$

Simplify:

$\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y$

Divide both sides by the x term to acquire:

$\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}$

Take the derivative of both sides with respect to x:

$\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]$

Apply power rule. Note that P is simply a constant. Hence:

$\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})$

Simplify. Hence, our derivative is:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

We want to evaluate the derivative when x is 30 and when y is $10,000.

First, we will need to find P. Our original equations tells us that:

$P=x^{0.3}y^{0.7}$

Hence, at x = 30 and at y = 10,000, P is:

$P=(30)^{0.3}(10000)^{0.7}$

Therefore, for our derivative, we will have:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)$

Use a calculator. So:

$\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143$

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0

3 years ago