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Klio2033 [76]
3 years ago
13

Find the inverse of f(x)=(x−5)/(−4x−2)

Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

f(x) =  \frac{x - 5}{ - 4x - 2}

Let

y =  \frac{x - 5}{ - 4x - 2}

Interchange x and y

x=  \frac{y- 5}{ - 4y - 2}

Cross multiply

x( - 4y - 2)= y- 5

Expand

- 4xy   - 2x= y- 5  \\ - 4xy  - y=  2x - 5 \\y( - 4x - 1)=  2x - 5

Solve for y;

y= \frac{  2x - 5}{ - 4x - 1}

or

y= \frac{  5 - 2x }{ 4x  + 1}

Therefore

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

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A building is 200ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model?
Katena32 [7]
Let's start with the length. All you need to do is multiply is by 1/500.
You could also find the decimal equivalent to 1/500.
1/500= .002
200×.002= .4
So length of the model is .4 ft.
The width:
.002×140=.28
The width of the model is .28 ft.
The length of the model is .4 ft and the width of the model is .28 ft.

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3 years ago
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Order the set of numbers from least to greatest<br><br>3/5, 3/10, 2/7, 1/4
Mkey [24]
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3 years ago
The owner of the Good Deals Store opens a newstore across town. For the new store, the ownerestimates that, during business hour
mestny [16]

60 % less customers than the typical customer count in the original store at any given time.

The correct option is A.

<h3>What is Average number?</h3>

The total number of values in a given set divided by the sum of all the values is how an average is calculated. The arithmetic mean is another name for it. To get the average, let's look at some basic facts. The available values are 1, 2, 3, 4, and 5. Average is the total sum of all values or the total number of values.

<h3>According to the given information:</h3>

At any given time, the original business had an estimated average of 45 customers. According to the manager of the new store, on average 90 customers each hour—or 1.5 customers per minute—enter the establishment.

Additionally, the manager calculates that each customer spends an average of 12 minutes inside the shop.

According to Little's law, the new business has customers inside on average at all times.

, N=rt=(1.5)(12)=18

So,

= ((45−18)/45) ×100

=60

60 % less customers than the typical customer count in the original store at any given time

To know more about Average number visit:

brainly.com/question/16956746

#SPJ4

I understand that the question you are looking for is:

The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?

A.60

B.70

C.80

D.50

6 0
2 years ago
A square with a side length of 3 units is dilated with a scale factor of 2.
Anna [14]
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷Simply multiply by 2:

3 x 2 = 6

It would be 6 units

➶Hope This Helps You!

➶Good Luck :)

➶Have A Great Day ^-^

↬ Hannah ♡

3 0
3 years ago
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