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blagie [28]
4 years ago
8

HELP PLEASE AND THANK YOU IN ADVANCED :)

Mathematics
1 answer:
Setler79 [48]4 years ago
3 0

We can notice that : Line Passes through the Points  A(-3 , 5) and B(1 , -1)

Let us find the slope of the line in order to write the Equation of the Line.

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\heartsuit Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Points are (-3 , 5) and (1 , -1)

here x₁ = -3 and x₂ = 1 and y₁ = 5 and y₂ = -1

\heartsuit  Slope(m) = \frac{5 + 1}{-3 - 1} = \frac{6}{-4} = \frac{-3}{2}

Equation of the Line passing through (1 , -1) and having slope \frac{-3}{2} is :

\heartsuit  y + 1 = \frac{-3}{2}(x - 1)

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d.30

Answer:

Solution given:

x. \:\:\: f. \:\:\: fx

13. \:\:\: 15. \:\:\: 195

14.\:\:\: 42 \:\:\: 588

15. \:\:\: x. \:\:\: 15x

16. \:\:\: 10. \:\:\: 160

17. \:\:\: 3. \:\:\: 51

. n=70+x. \sum=994+15x

we have

mean=sum/n

14.44=\bold{\frac{\sum}{n}}

14.44=\bold{\frac{994+15x}{70+x}}

doing crisscrossed multiplication

(70+x)*14.44=994+15x

1010.8+14.44x=994+15x

15x-14.44x=1010.8-994

0.56x=16.8

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The price-demand and cost functions for the production of microwaves are given as
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Answer:

<u>ALTERNATIVE 1</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

<u>ALTERNATIVE 2</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

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