1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
6

Find the inverse of the linear function y=1/2x+3.

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

2(x-3) = y

Step-by-step explanation:

y = 1/2 x +3

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 1/2y +3

Then solve for 3

Subtract 3 from each side

x-3 = 1/2 y -3+3

x-3 = 1/2 y

Multiply each side by 2

2 (x-3) = 1/2 *2 y

2(x-3) = y

This is the inverse

Natasha_Volkova [10]3 years ago
6 0

Interchange the variables:

x = 1/2y + 3

Solve for y:

Subtract 3 from each side:

x-3 = 1/2y

Multiply both sides by 2:

2x-6 = y

Rewrite the equation with y on the left side:

y = 2x-6

Replace y with f^-1(x):

f^-1(x) = 2x-6

You might be interested in
Please help me I will give brianliest if u are right<br> 2.5(10x+8)+3
zhannawk [14.2K]

Answer:

25x +23

Step-by-step explanation:

2.5(10x + 8) +3

2.5(10x + 8)

25x + 20

25x + 20 + 3

25x + 23

hope dis helps ^-^

8 0
3 years ago
Read 2 more answers
SLOPE AND RATE OF CHANGE
elena55 [62]

Answer:

1. rise

2. run

3. zero

4. undefined

5. positive

6. negative

8 0
2 years ago
ABCD photo provided
Vanyuwa [196]
The answer is D because the two angles are congruent and they must be subtracted from 180 to equal 116 degrees.

I hope this helps, God bless, and have a great day.
Brainliest is always appreciated :)
6 0
3 years ago
What is the solution to the equation 1/4x-1/8=7/8+1/2x?<br><br> X=-5<br> X=-4<br> X=4
Rama09 [41]

the answer is x=-4 hope it helps

3 0
3 years ago
Coffee: A popular chain of cafes has been receiving online complaints about one store location. Regular customers complained tha
hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>2.5)=0.006

As the P-value (0.006) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

7 0
3 years ago
Other questions:
  • Jason spent $20.00 for school lunches. If each lunch of $2.50, how many lunches did he buy?
    5·2 answers
  • How many times larger is 2 x 10^12 than 5 x 10^6
    11·1 answer
  • The product of two factors is 5,600 One factor is 80 What is the other factor?
    8·2 answers
  • Need help with this
    9·2 answers
  • Find the value of 0.34 × 9
    10·2 answers
  • Your Aunt Karen is shopping for flower pots at the local garden store. She has selected the type of pots shown below.
    15·1 answer
  • Need help please
    13·1 answer
  • Anyone know this ????
    13·2 answers
  • GEOMETRY HOMEWORK HELP! PLS!!
    6·1 answer
  • The sum of a number x and 4 is less than 12 which of the following inequalities represents this statement
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!