If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math

Answers

Answer 1

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]


Related Questions

suma de fraccion 1/5 + 5/8​

Answers

33/40

Step-by-step explanation:

you have to look for the lcm

1/5+5/8

8/40+25/40=33/40

there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?

Answers

Answer=4:20 I think that’s the answer

plz tell me 12 x 12 = and 12 x 13 =

Answers

Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?

Simplify your answer and write it as a proper fraction,improper fraction,or integer.

Answers

Answer:

y=7/6x

Step-by-step explanation:

When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.

I hope you understood and that this helps!

61 meters = _____ feet

I'LL GIVE BRAINLIEST!

Answers

Answer:

200.131234

Step-by-step explanation:

HELP PLEASE!!!! It's overdue :(

Answers

1: y = 3x + 42

2: y = 3(40) + 42

   y = 162

3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657

Plz give brainliest.

If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :​

Answers

Answer:

The equation is y = 2x² + 7x + 5

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c

The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]

∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]

∵ The product of the roots is [tex]\frac{5}{2}[/tex]

→ By using the rules above

∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]

∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]

→ Compare between them

a = 2

∴ -b = -7 ⇒ divide both sides by -1

b = 7

c = 5

∵ The form of the quadratic function is y = ax² + bx + c

→ Substitute the values of a, b, and c in it

∴ y = 2x² + 7x + 5

The equation is y = 2x² + 7x + 5

Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the linear relationship between the total cost, y, and the number of books Adam rents, x. Fill in each box to correctly model the relationship between x and y. Number of books rented, x 3 6 12 15 Total Cost, y $31.00 $ $43.00 $ $55.00

Answers

Answer:

Do you have a screenshot of the table? I’m struggling to visualise it with the data given.

Step-by-step explanation:

Answer:

$37.00 9 $49.00

Step-by-step explanation:

alg 2 complex numbers in standard form! please help me :(

Answers

Answer:

B

Step-by-step explanation:

Refer to the picture that given

First, write the fractions as decimals.
3
4
is
vand
11
1
2
IS
Next, plot the numbers on the number line.
The least number is
The greatest number is
The correct order from least to greatest is

Answers

Answer: d,d,a,,d,c,

Step-by-step explanation:

Answer:

ddadc

Step-by-step explanation:

Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(

Answers

Answer:

The fabric left over will be [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]

Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]

Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]

Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]

Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest

Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]

[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]

So, Total fabric used = [tex]\frac{71}{12}[/tex]

Total Fabric left= Total fabric bought-Total fabric used

Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]

[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]

So, the fabric left over will be [tex]2\frac{5}{6}[/tex]

Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?​

Answers

Answer:

$8.95

Step-by-step explanation:

12.
Question 19 (5 points)
2 - (-8) + (-3) =
15
OA) 1
18
B) 14
12
O
D) 7

Answers

Answer:

The answer is d because 10-3 is 7

Answer:

D)7

Step-by-step explanation:

2 - (-8) + (-3) =

10-3 =7

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage.

The rate of 225 mi in 7 hr written as a unit rate

Answers

Answer:

32.14 an hour

Step-by-step explanation:

Answer:

32.142857 miles per hour

Step-by-step explanation:

This is the answer because:

This is a fraction equal to

225 miles ÷ 7 hours

We want a unit rate where  1 is in the denominator,  so we divide top and bottom by 7 .

225/7 = 225/7 and 7/7 =  32.142857/1

Therefore, the answer is  32.142857 miles per hour.

Hope this helps!

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have won 12. If the team continues winning at this rate, what will be the percent error of the newspaper's estimate once the season is over? Round to the nearest percent​

Answers

Answer:

4

Step-by-step explanation:

The percent error of the newspaper's estimate once the season is over will be 4%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.

Then the percentage will be given as,

P = (25 / 30) x 100

P = 0.8333 x 10

P = 83.33%

After 15 matches, they won 12. Then the percentage will be given as,

P = (12 / 15) x 100

P = 0.80 x 100

P = 80%

If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be

P = [(83.33 - 80) / (83.33)] x 100

P = 0.04 x 100

P = 4%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

If a decimal is only in the ____, you can move it up into the quotient

Answers

Answer:

Divident

Step-by-step explanation:

What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here ​

Answers

The fraction of the shape which is shaded in simplest form is 1/3.

The square in the diagram provided has a total of 12 boxes .

The number of shaded part is 4

To calculate the shaded fraction of the shape we have to use the formula:

Number of shaded part/ Total number of boxes present.

= 4/12

We can divide the numerator and denominator by 4 to get the simplest form.

= 1/3

The fraction of the shape which is shaded in simplest form is therefore

= 1/3.

Read more about Fraction here https://brainly.com/question/17743912

Which list shows the number in order from greatest to least? Help asap

Answers

Answer:

D

Step-by-step explanation:

can someone help me pls

Answers

Answer:use a calculator if you want  since all you do is put in the calculator

Step-by-step explanation:

3/7 is 0.428571428

meanwhile 1/4 is 0.25...

which one do you think is bigger

3/7

so it is greater

Write an equation for the line in the given form.
slope is 5 and (-3, 2) is on the line; point-slope form=

Answers

Y-2=5(x+3) is the the answer

ian's car can go 99 miles on 3 gallons of gas During a drive last​ weekend,Ian used 7 gallons of gas.How far did he drive?Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas He used. He drove____ miles.

Answers

Answer:

The answer would be 231 miles.

Step-by-step explanation:

This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.

He drove 231 miles I think

Last year Jeremy weighed 70 bounds this year he weights 84 pounds by what percent did Jeremy weights increase from last year to this year

Answers

14%I think hopefully

please help!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25

Answers

Answer: D

Step-by-step explanation: Use money chip calculator

Guys I will mark brainliest if you get this right

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]

Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?

Answers

1. 70 dimes and 33 quarters
2. 18 dimes and 9 nickels
3. 236 adults and 342 children
4. 12 quarters, 9 dimes
5. 9 nickels, 18 dimes

Jenny enjoys crocheting so she has decided to make and sell crocheted hats and crocheted scarves to make money for a trip she would like to take this coming summer. She is going to sell her scarves for $5 each and her hats for $10 each. In order to go on the trip, Jenny needs to make at least $200.

Answers

so what’s the question?

Answer:

Step-by-step explanation:

so the whole question is as follows


Please help me. What’s the answer ?

Answers

Answer:

D

Step-by-step explanation:

D

Business math pls help

Answers

True. The principal is the amount loaned. If you are the person loaning the money to the bank (which is effectively how they make money), then they pay you back in the form of interest. The bank takes a share of that interest of course. They may have other fees as well.False. The compound interest depends on how frequently the money is compounded. Usually it's done monthly. Though your bank would likely say it somewhere in the fine print. It is only when annual compounding takes place is when statement #2 is true.True. If the item you're trying to buy is larger than what is in your account, then you'll be overdrawing your account. Your bank will likely charge an overdraft fee. So it's best to pay attention to your balance as much as possible. True. You can bank from your phone, computer, tablet or laptop and do so anywhere in the world. Of course you'll need access to the internet. Keep in mind that some banking services require in-person visits so not everything is done online. True. Not much to say here, other than this number is used for ATM withdrawals and point of sale purchases with a credit card (though it will depend on the card).False. An ATM is a machine that dispenses cash, and it accepts deposits as well (either cash or check; though it may depend on the specific machine). ATM stands for Automated Teller Machine. It basically is a robotic banker, hence the phrasing "automated teller". Coupled with online banking, ATMs help spread a bank's footprint and allow customers to truly bank from anywhere. False. Withdraw means to subtract from the balance. True. A deposit increases your balance because you are giving that money to the bank.False. A bank statement is a document that tells you how much you have in your account(s) at any given month. It also provides the amount of interest earned as well as various deposits and withdrawals made for that month.
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