All categories

2 years ago

(2,-6), (-4,-3) What is the slope

Mathematics

2 answers:

rodikova [14]2 years ago

8 0

Answer:

m = 3/-6

Step-by-step explanation:

Look at attached photo

mel-nik [20]2 years ago

3 0

Step-by-step explanation:

the slope is -3

that is the answer

You might be interested in

What is the value of z?

weqwewe [10]

Answer:

z = 30.45 feet

Step-by-step explanation:

The volume (V) of a triangular prism is calculated as

V = area of triangular end (A) × length

Here V = 913.5 and length = 15, thus

A × 15 = 913.5 ( divide both sides by 15 )

A = 60.9 ft²

The area of the triangle = $\frac{1}{2}$ bh ( b is the base and h the height ), thus

$\frac{1}{2}$ × 4 × z = 60.9

2z = 60.9 ( divide both sides by 2 )

z = 30.45

3 0

3 years ago

Read 2 more answers

Johnny says multiplication always makes numbers bigger. Explain to Johnny why this isn’t true. Give more than one example to hel

yarga [219]

Answer:

Explained

Step-by-step explanation:

No, Multiplication does not always makes number bigger. When number is Multiplied by any number less than 1 the magnitude of the number decreases. Also any number multiplied by a negative number also reduces the number,

Example 5×2= 10 and 5×0.2= 1 clearly , 1<5

also, 5×(-2) = -10 which is also less than 5.

6 0

3 years ago

the sum of three consecutive odd integers is less than 54. what is the set of the largest three consecutive odd integers that fi

Mandarinka [93]

The largest of the three would be 53, then 51, then 49.

6 0

3 years ago

Read 2 more answers

30 POINTS!! WILL VOTE BRAINIEST

Alex787 [66]

Part A:

Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:

-3 - (-11) = -3 + 11 = 8.

Thus, the value of the output increases by 8 units for each one unit increase in the input.

Part B:

Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:

21 - 5 = 16.

Thus, the value of the output increases by 16 units for each two units increase in the input.

Part C:

Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:

53 - 29 = 24.

Thus, the value of the output increases by 24 units for each three units increase in the input.

Part D:

It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.

i.e 8 / 1 = 16 / 2 = 24 / 3.

7 0

2 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

2 years ago