All categories

2 years ago

Find the inverse of the function f (x) = 0.25x + 12.

Mathematics

1 answer:

worty [1.4K]2 years ago

5 0

Answer:

g(x)=4x-48

Step-by-step explanation:

f(x)=0.25x + 12

substitute

f(x) with y

y=0.25x + 12

then replace x with y and y with x

x=0.25y + 12

swap equation

0.25y + 12 = x

0.25y = x - 12

divide both sides by 0.25

Y=4x-48

You might be interested in

What is the value of ▲ in the equation shown? 7x9=(7x10)-(7x▲ )

ahrayia [7]

Step-by-step explanation:

▲ =1

easy peasy........

7 0

2 years ago

Joe drank 4 liters of water on Monday an 4 deciliters of water on Tuesday how much more water did he drink on Monday than on Tue

oksian1 [2.3K]

10 times the amount, or 3.6 liters more.

8 0

3 years ago

In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

3 years ago

Read 2 more answers

-45=5y I need the answer

slamgirl [31]

Answer:

-9 = y

Step-by-step explanation:

-45=5y

Divide each side by 5 to isolate y

-45/5=5y/5

-9 = y

5 0

3 years ago

Read 2 more answers

A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames fo

IrinaVladis [17]

Answer:

8 large frames and 13 small frames

Step-by-step explanation:

Given:
$18 each = large frames

$8 each = small frames

To Find:

⇒ Bought 21 frames for $248, find how many of each type she bought

Solve:

1 Large frame costs = 18 $

Therefore, x large frames costs = 18x $

{where x is the number of large frames she bought}

1 Small frame costs = 8 $

Therefore, x Small frames costs = 8y $

{where y is the number of small frames she bought}

By the given condition :

18x + 8y = 248 {equation 1}

x + y = 21 {equation 2}

Solve these equations simultaneously, from second equation we get :

x = 21- y

18⋅(21−y)+8y= 248

378 - 18y+8y = 248

-10y = -130

y = 13

Put y = 13 in eq x = 21- y

x = 21 - y

x = 21 - 13

x = 8

So the woman bought 8 large frames and 13 small frames.

~lenvy~

5 0

2 years ago