3 years ago

I need help thanks!!!!!

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Is this question asking for descriptions?

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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

When we plot all the points that satisfy an equation or inequality we what it?

Alex17521 [72]

When you GRAPH an equation or inequality you plot all of the points that satisfy it.

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4 years ago

Solve for x. Using the image above!

True [87]

Answer:

x = 15.81

Step-by-step explanation:

horizontal leg of triangle = 15

vertical leg of triangle = 9 - 4 = 5

using the Pythagorean theorem:

x² = 15² + 5² = 225 + 25 = 250

x = √250 = 15.81

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3 years ago

A line with a slope of 1/3 passes through the point (-8,9). What is its equation in point-slope form?

BARSIC [14]

Answer:

y - 9 = 1/3 (x+8)

Step-by-step explanation:

point slope form is y - y1 = m (x - x1)

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3 years ago

Write an equivalent fraction of 4/5 with the denominater 25

Temka [501]

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

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3 years ago

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