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Ymorist [56]
3 years ago
11

What is the inverse of f(x)=3x+6 ?

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

Answer:

\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }

Step-by-step explanation:

hello,

we can write

fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\ f^{-1}(x)=\dfrac{x-6}{3}

hope this helps

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A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.
ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

  • Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that x.

\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}

  • Multiply the entire equation by 1 \,\textrm{hour}

\dfrac{525}{1.75} = 300 = x

  • Divide both sides of the equation by 1 \,\textrm{mile} to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0
3 years ago
Which statement is true ?
8090 [49]

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

8 0
3 years ago
Jason’s credit card has an apr of 17.02% and a 30-day billling cycle. the following table details jason’s transactions with that
forsale [732]

The method of computing that would result in a greater finance charge is  a. the daily balance method will have a finance charge $1.02 greater than the adjusted balance method.

<h3>What is the Adjusted Balance Method?</h3>

This refers to the method of accounting that makes use of the owed amount of money at the end of a billing cycle to make its computation on an account after the credits are calculated.

Hence, we can see that when comparing the adjusted balance method to the daily balance method that calculates the interest charges at the end of the day, the daily balance method would have a higher finance charge.

Read more about adjusted balance methods here:

brainly.com/question/1808408

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5 0
2 years ago
a vet weighs two puppies the small puppy weighs 4 1/2 pounds the large puppy weighs 4 2/3 times as much as the small puppy how m
Llana [10]
The large puppy weighs 20.97 Pounds. This is because 2/3 of a hundred is 66. You would do 4.5 Times 4.66. This equals 20.97. It can be rounded to 21. Hope this helps!
7 0
3 years ago
Read 2 more answers
What is the Value of x+y ? PLZ Help ASAP
Natalija [7]
ANSWER

x + y = 60

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

3x + 55 = 85

This implies that,

3x = 85 - 55

We simplify to get,

3x = 30

Dividing through by 3 gives,

x = 10

Also,

2y - 5 = 95

This implies that,

2x = 95 + 5

We simplify the right hand side to get,

2x = 100

We divide both sides both sides by 2 to get,

x = 50

x + y = 50 + 10

x + y = 60


Method 2

Angles on straight line sums to 180°.



2y-5+85=180


This implies that,

2y+80=180


2y=180-80


2y=100


y=50



Also,


3x+55+95=180


3x+150=180


3x=180-150


3x=30


x=10


x+y=50+10


x+y=60
7 0
3 years ago
Read 2 more answers
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