All categories

3 years ago

Hii i would like help for the question

Mathematics

1 answer:

mojhsa [17]3 years ago

7 0

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

You might be interested in

What is the y intercept of the line whose equation is y=1/2x-3

Burka [1]

Answer:

-3

Step-by-step explanation:

y=1/2x-3

y=mx+b where m=slope and b=y-intercept

b=-3

7 0

3 years ago

On the graph of the equation 8x – 3y = 24, what is the value of the y-intercept?

ella [17]

8x - 3y = 24

y-intercept ⇒ x = 0

subtitute

8 · 0 - 3y = 24

-3y = 24 |divide both sides by (-3)

y = -8

3 0

3 years ago

Find the greatest common factor: 12ab^2c^4 + 20a^4bc^3 + 16a^3b

nordsb [41]

Option A

The greatest common factor is 4ab

Solution:

Given that,

We have to find the greatest common factor

$12ab^2c^4+20a^4bc^3+16a^3b$

First find the GCF of numbers

GCF of 12, 20, 16

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

Now find the GCF of variables

$ab^2c^4\\\\a^4bc^3\\\\a^3b$

Here,

ab is the greatest common factor

Therefore, GCF of variables is ab

Thus, GCF of given expression is: 4ab

5 0

3 years ago

Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive

Ivan

Answer:

(a) The average cost function is $\bar{C}(x)=95+\frac{230000}{x}$

(b) The marginal average cost function is $\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose $C(x)$ is a total cost function. Then the average cost function, denoted by $\bar{C}(x)$ , is

$\frac{C(x)}{x}$

We know that the total cost for making x units of their Senior Executive model is given by the function

$C(x) = 95x + 230000$

The average cost function is

$\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}$

(b) The derivative $\bar{C}'(x)$ of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

$\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0$

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95$

6 0

3 years ago

Twice the difference of x and 7, is -23

iren2701 [21]

Answer:

Step-by-step explanation:

Cheese covered with poor

6 0

2 years ago

Read 2 more answers