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Kobotan [32]
3 years ago
7

Which pair of functions are inverse of each other

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

(A)

Step-by-step explanation:

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Jose and Gavin are reading the same book. At the beginning of the month, Jose was
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Using linear functions, it is found that:

  • Jose's equation is: J = 17x + 10.
  • Gavin's equation is: G = 14x + 37.
  • They will be on the same page on the 9th day.

<h3>Linear function:</h3>

A <em>linear function</em> is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the value of y when x = 0.

Jose:

  • Initially, he was on page 10, hence b = 10.
  • He reads 17 pages per day, hence m = 17.
  • Hence, Jose's equation is: J = 17x + 10.

Gavin:

  • Initially, he was on page 37, hence b = 37.
  • He reads 14 pages per day, hence m = 14.
  • Hence, Gavin's equation is: G = 14x + 37.

The day they will both be on the same page is x for which:

J = G

Hence:

17x + 10 = 14x + 37

3x = 27

x = \frac{27}{3}

x = 9

They will be on the same page on the 9th day.

To learn more about linear functions, you can take a look at brainly.com/question/16302622

8 0
2 years ago
A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is
miv72 [106K]

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>

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3 years ago
Which of the choices below follow an exponential pattern? Select all that apply.
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What are the choices?
8 0
3 years ago
Dinner for a family of 3 at the local Italian Eatery came to $47.83 before tax. If the family wanted to tip their server 20%, ho
EastWind [94]

Answer:

$9.57

Step-by-step explanation:

47.83 x 20% = 9.57

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2 years ago
What 1,500 rounded to the nearest hundredth
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Answer:

2,000

Step-by-step explanation:

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2 years ago
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