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galben [10]
2 years ago
6

F(x)= x+28/x-7 for inverse functions

Mathematics
1 answer:
ioda2 years ago
8 0

The inverse function of the given function is \mathbf{= \dfrac{28+7x}{x-1}}

<h3>What is the inverse of a function?</h3>

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

\mathbf{y=f(x) = \dfrac{x+28}{x-7}}

Let's substitute x with y;

\mathbf{y= \dfrac{x+28}{x-7}}

\mathbf{x=\dfrac{y+28}{y-7}}

Solve for y;

\mathbf{= \dfrac{28+7x}{x-1}}

Learn more about solving inverse functions here:

brainly.com/question/3831584

#SPJ1

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Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $60,750?
Anna11 [10]

\frac{28}{36} rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.

Annual Salary = $ 60,750

Maximum mortgage payment=28% of $ 60,750

=\frac{28}{100} \times 60750=\frac{1701,00}{100}\\\\ =1701

Maximum ,mortgage payment allowed for someone with an annual salary of $60,750= $ 1,701.00→→→Option (C)


7 0
3 years ago
Read 2 more answers
Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total asse
aniked [119]

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of  $13.6 million

profit = 5.6 / 100 *  $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

4 0
3 years ago
A man drove 210 miles in 3.5 hours. If the posted speed limit was 55 mph (miles per hour) the entire way, approximately how many
Alona [7]

Answer:

5mph over the speed limit

Step-by-step explanation:

In 1 hour the man drove 210/3.5=60 miles. 60mph is over the speed limit (55) by 5 mph.

5 0
3 years ago
What is the equation of a line that contains the points (8, –3) and (–8, 3)?
DerKrebs [107]

Answer:

1. D y = 8

2. C y = −8

Step-by-step explanation:

1.Both points have y-coordinate 8, so the line is horizontal.

A horizontal line has equation y = k

where k is the y-coordinate of all of its points.

The y-coordinate of all points on this line is 8.

Answer: y = 8

2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.

Answer: y = -8

8 0
3 years ago
A cup has a circumference of 28 cm. Approximately what is the diameter?
Ainat [17]

Answer:

The diameter is approximately 8.9 cm

Step-by-step explanation:

The circumference is given by

C = pi *d

28 = pi *d

Divide each side by pi

28/pi = d

We can approximate pi by 3.14

28 /3.14 =d

8.917 = d

The diameter is approximately 8.9 cm

7 0
3 years ago
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