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TEA [102]
3 years ago
10

8) The sum of two numbers is 3. Their diffrence is 13. What are the two numbers?

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

Answer:

B. (8,-5)

Step-by-step explanation:

Let the numbers be A and B

The sum of the two numbers = 3

That’s

A + B = 3

Their difference is 13

That’s

A - B = 13

We now have two equations

1. A + B = 3

2. A - B = 13

Subtract equation one from equation two

2B = -10

Divide both sides by 2

2B/2 = -10/2

B = -5

Substitute -5 for B into any of the equations to get A

Using equation 1

We have

A + B = 3

A + -5 = 3

A - 5 = 3

Add 5 to both sides

A - 5 + 5 = 3 + 5

A = 8

The numbers are 8 and -5

Serjik [45]3 years ago
4 0
The answer is B: (8,-5)
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3 years ago
QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the cost
Sever21 [200]

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patron­izing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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We can rearrange the above equation to:

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Taking logs on both sides

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This gives

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