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Temka [501]
2 years ago
14

Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

Mathematics
1 answer:
Virty [35]2 years ago
8 0
<h2>Answer:</h2>

(4, \frac{6}{7} ).

<h2>Step-by-step explanation:</h2>

<h3>1. Write the composite expression.</h3>

\frac{f(4)}{g(4)}

<h3>2. Find the result of each function through the ordered pairs.</h3>

<em>In this part, we're trying to find out what value each function gives for x= 4. As you may see in the ordered pair (4, 6), f(x) gives a value of 6 for x= 4. Also, g(x) gives a value of 7 for x= 4, according to the ordered pair (4, 7). </em>

<em>Substitute the values:</em>

<em></em>\frac{6}{7}.

<h3>3. Express the result.</h3>

(4, \frac{6}{7} ).

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546 - 525 = 21

21 is 4% of 525.


Lisa gained a 4% pay increase.
6 0
3 years ago
Find the value for β that makes cosβ = sin15 true.
Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

cos\beta =sin(15)

sin(15) has a decimal answer that you will find on your calculator.  Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal.  When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle.  You should get 75, which is Choice B.

8 0
3 years ago
Jenny owns a salon. She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter,
Ira Lisetskai [31]

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100

Substitute all the values in the formula;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100\\\\\rm Customer \ retention \ rate=\dfrac{150-5}{151}\times 100\\\\ Customer \ retention \ rate=\dfrac{145}{151}\times 100\\\\ Customer \ retention \ rate=0.96 \times 100\\\\ Customer \ retention \ rate=96

Hence, there is a 96% customer retention rate for the third quarter.

To know more about customer retention rate click the link given below.

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7 0
2 years ago
What is the absolute value of 3.7??? PLEASE HELP!!!
Alekssandra [29.7K]

Answer:

rational number

Step-by-step explanation:

3 0
4 years ago
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levacccp [35]

Answer:

y  - intercept = - 3

Step-by-step explanation:

The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.

Given :

    y - 7x = - 3

    y = 7x - 3               [ convert to standard line equation form ]

Therefore , y  - intercept = - 3

6 0
3 years ago
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