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3 years ago

Question:

Mathematics

1 answer:

Andrew [12]3 years ago

4 0

Answer:

(0, -9)

Step-by-step explanation:

The y intercept is the y value when x =0

(0, -9)

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Minimum Average Cost

Dahasolnce [82]

Answer:

a) $\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}$

b) $\bar{C}(x)=5.81$

Step-by-step explanation:

Given that

C = 100 + 25 x - 120 ln x ,x ≥ 1.

The average cost function given as

$\bar{C}(x)=\dfrac{C(x)}{x}$

$\bar{C}(x)=\dfrac{100 + 25 x - 120 \ln x}{x}$

$\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx{x}$

Therefore

$\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}$

To find average minimum cost

$\bar{C}(x)=\dfrac{100}{x}+25-120\dfrac{lnx}{x}$

$\dfrac{d\bar{C}(x)}{dx} = -\dfrac{100}{x^2} +0-120\times \dfrac{1-lnx}{x^2}$

$0 = -\dfrac{100}{x^2} +0- 120\times \dfrac{1-lnx}{x^2}$

100 + 120 (1-lnx) = 0

$lnx=\dfrac{220}{120}$

ln x =1.833

$x=e^{1.833}$

x=6.25

$\bar{C}(x)=\dfrac{100}{6.25}+25-120\dfrac{ln6.25}{6.25}$

$\bar{C}(x)=5.81$

6 0

4 years ago

What is the difference x + 5/ x + 2 - x + 1 /x^2 + 2x

xxTIMURxx [149]

2x^3 + 2x^2 + 5x + 1/ x^2

3 0

4 years ago

Read 2 more answers

Jack usually mows his lawn in 6 hours. marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the

Anuta_ua [19.1K]

Answer:

2.4 hours or 2 hours and 24 minutes

Step-by-step explanation:

Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

$R = \frac{1}{6}+ \frac{1}{4}\\R=\frac{10}{24}$

The time required for them to mow the entire lawn is:

$t = \frac{1}{R}\\t = \frac{1*24}{10}\\ t=2.4\ hours$

It would take them both 2.4 hours to mow the lawn together.

5 0

3 years ago

HELP!!!!!!

N76 [4]

B is the answer

Hope this helps.

3 0

4 years ago

Solve the system of linear equations by elimination. 11x−20y=28 3x+4y=36

crimeas [40]

Answer:

x = 8, y = 3.

Step-by-step explanation:

11x − 20y = 28

3x + 4y = 36 multiply this equation by 5:

15x + 20y = 180

Add this new equation to the first one ( to eliminate the 20y):

26x = 208

x = 208/26 = 8.

Substitute x = 8 into the second equation:

3(8) + 4y = 36

4y = 36 - 24 = 12

y = 3.

8 0

3 years ago

Read 2 more answers