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3 years ago

Find the inverse of the function. f(x) = 5x + 6

1 answer:

7 0

F(x) = 5x + 6

let y = f(x)

y = 5x + 6 solving for x.

y - 6 = 5x

5x = y - 6

x = (y - 6)/5

Recall f(x) = y. Implies x = f⁻¹(y)

x = (y - 6)/5

f⁻¹(y) = (y - 6)/5

So as well:

f⁻¹(x) = (x - 6)/5

You might be interested in

If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50

Fed [463]

Lets use the formula $RWT=J$ to solve this, where,

R is the rate
W is the number of workers/things
T is time
J is number of jobs/things

"If it takes 10 seconds for 10 printers to print out 10 pages of paper" - here -

W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

$R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1$

"how many seconds will it take 50 printers to print out 50 pages of paper" - here we use $R=0.1$ (previously found) to figure out T.

$RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10$

So it will take 10 seconds for 50 printers to print 50 pages.

ANSWER: 10 seconds

4 0

3 years ago

Read 2 more answers

A height of 26 feet and a diameter of 5.6 feet. What is the volume of the geode, rounded to the nearest tenth?

7nadin3 [17]

Answer:

Therefore,

The volume of the geode, rounded to the nearest tenth is 640.1 feet³.

Step-by-step explanation:

Given:

Geode shaped approximately like a cylinder. such that

Height = h = 26 feet

Diameter = d = 5.6 feet

$Radius = r =\dfrac{d}{2}=\dfrac{5.6}{2}=2.8\ feet$

To Find:

volume of the geode = ?

Solution:

Geode shaped approximately like a cylinder,

So, Volume of Cylinder is given by,

$\textrm{Volume of Cylinder}=\pi r^{2}h$

Where,

Height = h

Radius = r

pi = 3.14

Substituting the values we get

$\textrm{Volume of Cylinder}=3.14\times 2.8^{2}\times 26=640.05\approx 640.1\ feet^{3}$

Therefore,

The volume of the geode, rounded to the nearest tenth is 640.1 feet³.

8 0

3 years ago

Please help me out !!!!

Mkey [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

Factor 60 – 36w to identify the equivalent expressions.

gtnhenbr [62]

Answer:

Step-by-step explanation:

60 – 36w = 6(10 - 6w),

4(15 - 9w)

5 0

3 years ago

Noah spent $190 on books. Math books cost $26 and English books cost $28. If he bought a total of 7 books, then how many of each

goldenfox [79]

Answer:

he bought three math books and four english books

Step-by-step explanation:

26x3=78 (three books)

28x4=112 (four books)

112+78=190

7 0

2 years ago