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Gemiola [76]
3 years ago
8

A daily newspaper has 12135 subscribers when it began publication. Five years later it had 10090 subscribers. What is the averag

e yearly rate of change in the number of subscribers for the five-year period?
Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

-409

Step-by-step explanation:

At the beginning - 12,135 subsribers,

Initial number of subsribers = 12,135

At the end - 10,090 subsribers

Final number of subsribers = 10,090

Time = 5 years.

So, the average yearly rate of change is

\dfrac{\text{Final number of subsribers}-\text{Initial number of subsribers}}{\text{Time}}\\ \\=\dfrac{10,090-12,135}{5}\\ \\=\dfrac{-2,045}{5}\\ \\=-409

The number of subscribers decreases by 409 per year

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marusya05 [52]

Answer:

The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>

Step-by-step explanation:

g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.

f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.

f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)

In order to check this result, we make:

f(x) = 3x + 1

f(x-2) = 3(x-2) + 1

f(x-2) = 3x - 6 + 1

f(x-2) = 3x - 5 = g(x)

3 0
3 years ago
Solve for x: 0.008 - 0.02x = 0.03 Then evaluate: x^2 + x + .89 =
s344n2d4d5 [400]
E. none of them         hope I helped
5 0
3 years ago
Jacqui wants to work out 3480 ÷ 5
DaniilM [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Write an equation that you can use to find the number of refills Keith bought. A restaurant sells a coffee refill mug for $6.75.
Evgesh-ka [11]

Answer:

<h2> 6.75+1.25x=31.75</h2>

Step-by-step explanation:  

let x be the number of refils

also given is that the cost of one refill is $1.25

hence the total refil will be 1.25x

given that the cost of a mug is $6.75

6.75+1.25x=31.75

therefore  the expression that can be used to solve for the number of refills is

6.75+1.25x=31.75

 

7 0
3 years ago
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He wo
mr Goodwill [35]

Answer:

Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

Step-by-step explanation:

Since either job takes 2 hours to complete, the total number of jobs that Kevin can complete working 54 hours a week is:

n=\frac{54}{2}\\n=27\ jobs

Since replacing shocks gives him a greater income, he should aim to do as little break replacements as possible and as many shock replacements as possible in order to maximize income.

If he has to complete at least 6 break replacements out of the 27 jobs possible, the number of shock replacements he should do is:

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Kevin should do 21 shock replacements and 6 brake replacements every week to maximize his weekly income.

5 0
3 years ago
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