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8_murik_8 [283]
3 years ago
7

The president of State University wants to forecast student enrollment for this academic year based on the following historical

data: Year Enrollments 5 years ago 15,000 4 years ago 16,000 3 years ago 18,000 2 years ago 20,000 Last year 21,000
What is the forecast for this year using exponential smoothing with alpha = 0.5, if the forecast for two years ago was 16,000?

a)18,750

b)19,500

c)21,000

d)22,650

e)None of the above
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer: c

Step-by-step explanation:

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Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
Gre4nikov [31]
<h2>The product of the rational expressions\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}.</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}.

7 0
3 years ago
A textbook store sold a combined total of 392 physics and psychology textbooks in a week. The number of physics textbooks sold w
katen-ka-za [31]

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

5 0
3 years ago
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