Find the inverse of the function. f(x) = 3x - 2

Answers

Answer 1

Answer:

f^-1(x) = (x+2)/3

Step-by-step explanation:

To find the inverse of a function, exchange x and y and solve for y

y =3x-2

Exchange x and y

x =3y-2

Solve for y

Add 2 to each side

x+2=3y-2+2

x+2 = 3y

Divide each side by 3

(x+2)/3 =y

The inverse of the function is

f^-1(x) = (x+2)/3

Answer 2

Answer:

F-1(x)=(x+2)/3


Related Questions

A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.

Answers

Answer:

$3.38

Step-by-step explanation:

The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38

Answer:

$3.38  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4.50(4) + 8x = $45.00

$18 + 8x = 45.00

8x = 45 - 18

8x = 27

x = 27 ÷ 8

x = 3.375 rounded to nearest cent is $3.38

A breakfast cereal is available in four different sizes. Which is the best buy ?
A. 10-ounce box for $2.80
B. 16-ounce box for $3.75
C. 24-ounce box for $4.50
D. 30-ounce box for $5.25

Answers

Answer:

D. 30-ounce box for $5.25 is the best buy

Step-by-step explanation:

To determine which is the better buy, we need to determine the unit rate for each.  We will take the price and divide by the number of ounces.  The best price is the smallest price per ounce.

A. 10-ounce box for $2.80

$2.80/10 = $.28 per ounce

B. 16-ounce box for $3.75

$3.75/16 = $.234375 per ounce

Rounding to the nearest cent

$.23 per ounce

C. 24-ounce box for $4.50

$4.50/24 = $.1875 per ounce

Rounding to the nearest cent

$.19 per ounce

D. 30-ounce box for $5.25

$5.25/30 =$.175 per ounce

Rounding to the nearest cent

$.18 cent per ounce

Un circulo tiene un radio 3 yardas ,¿cual es el área ?

Answers

Answer:

28.27 yardas^2

Step-by-step explanation:

Area = pi r^2

= pi * 3^2

= 9 pi

or 28.27 yardas^2

which of the following is not true in a dialation?

Answers

ANSWER:

( 2 ) The image and preimage are different shapes.

EXPLANATION:

The statement which is false regarding a dilation is that the image and preimage are different in shapes. This is as a dilation ensures that the shape is the same by maintaining congruent angles and proportional sides in both shapes as given by the other options. Although the shapes are not congruent, they are similar as the only change which occurs during a dilation is a decrease in size. No changes are made to its shape.
Final answer:

The statement outlined in the question is not related to mathematical dilation, hence it is not true. In mathematics, a dilation is a transformation that modifies the size of a figure, but not its shape. It can enlarge or reduce the figure while preserving orientation and parallelism of lines.

Explanation:

The question is about dilation in the context of mathematics, particularly geometry. Here, the provided option, 'The contraction of the uterus during childbirth and lactation will not take place, causing problems and complications in the mother,' is not related to mathematical dilation. So, the statement is not true in a dilation.

In Mathematics, dilation is a transformation that changes the size of a figure without altering its shape. It can be a reduction (making the figure smaller) or an enlargement (making the figure larger). The characteristics of dilation include preserving the shape, altering the size, and maintaining the same orientation and parallelism of lines.

Learn more about Dilation here:

https://brainly.com/question/29811168

#SPJ3

Round 452 to the nearest hundred

Answers

Answer:

500

Step-by-step explanation:


Determine the measure of q in sin q =0.4848 to the nearest degree.

Answers

Answer:

see explanation

Step-by-step explanation:

there are 2 possible values for q

Since sin q > 0 then q is in the first or second quadrant

sin q = 0.4848, then

q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant

or q = 180° - 29° = 151° ← second quadrant



On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______. (Input only whole numbers, such as 2.)

Answers

Answer:

10

Step-by-step explanation:

calculate the distance using the distance formula

d = √( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10


Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the sales tax on a $930 item?

Answers

Answer: $65.10

Step-by-step work:

1.Set the ratio
[tex] \frac{600}{42} = \frac{930}{x} [/tex]
2.Cross-multiply
[tex]600x = 930(42)[/tex]
[tex]600x = 39060[/tex]
3.Divide to single out x
[tex]600x \div 600 = 39060 \div 600[/tex]
[tex]x = 65.10[/tex]


What is 79,531 using number words?

Answers

Hi there!

The following number in words will be,

Seventy nine thousand, five hundred thirty one.

Hope this helped!~

Hello!


79,531 is pronounced seventy-nine, thousand, five hundred and thirty-one.


Hope this helps! ~Pooch ♥


which is the shorter drive in hours? Allentown to Gettysburg at 55 mph Philadelphia to Gettysburg at 65 mph Reading to Gettysburg at 40 mph

Answers

Answer:

Philadelphia to Gettysburg.                    

Step-by-step explanation:

For Allentown to Gettysburg, the drive is

1hour= 55m

1m = [tex]\frac{1}{55}[/tex]hour

    = 0.018 hour

For Philadelphia to Gettysburg, the drive is

1 hour = 65m

1m = [tex]\frac{1}{65}[/tex]hour

    = 0.015 hour

For Reading to Gettysburg, he drive is

1 hour= 40m

1 m = [tex]\frac{1}{40}[/tex]hour

    = 0.025 hour

Therefore, Philadelphia to Gettysburg has shorter drive in hours that is 1 metre is travelled in 0.015 hours

Answer each question. What is 35% of 90x? What percent of 16x is 9x?

Answers

Answer:

35% of 90x = 31.5

16x is 9x =

Step-by-step explanation:

35 /100 x 90 = 31.5

Answer:

31.5x; 56.25%

Step-by-step explanation:

For the first question:

We can write 35% as 0.35; this is because 35% = 35/100 = 0.35.  Taking a percentage of a quantity means we multiply; this gives us

0.35(90x) = 31.5x

For the second question:

To find the percentage the second quantity is of the first one, we divide:

9x/16x = 0.5625

This is the same as 56.25%.

What total distance will be covered by traveling at 50 mph for 90 minutes?

Answers

Answer:

50 mph = 50 miles per 60 minutes = 50*105/60 miles in 105 minutes = 87.5 miles.

Step-by-step explanation:

At a constant speed of 60 mph, you are traveling 1 mile per minute. It will take you 50 minutes to travel 50 miles.

hope this helps

n+6=38 what is the answer to this problem

Answers

Answer:

32

Step-by-step explanation:

38-6=32

Hi there! :)

Answer:

n=32

*The answer must have a positive sign.*

Step-by-step explanation:

Lesson: Addition/Subtraction/Multiplication/ and Division property of equality

First, you subtract by 6 from both sides of an equation.

n+6-6=38-6

Then, you subtract by the numbers from left to right.

38-6=32

Final answer is n=32

I hope this helps you!

Have a nice day! :)

Thanks!

-Charlie

:D

Which of the following is closest to 19.9 times 199?

A. 4000 B. 3990 C. 3980 D. 3970 E. 3960

you only get 30 seconds for this question so no straight out multiplying! (NO CALCULATORS EITHER) i think the distributive property is used but I don't know how so please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

E 3960

Step-by-step explanation:

Round 19.9 and 199 to 20 and 200

20*200 = 4000


Now subtract 20

20 * (200-1) = 4000-20

20 * 199 = 4000-20

20*199 = 3980


.1 of 200 is 20

so subtract 20

(20-.1) *200=3980-20

19.9 *200 =3960

(20-.1) *(200-1) = 3960

someone help me plz
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year. Which function equation represents the value of the bicycle after t years? f(t)=478(0.935)^t
f(t)=478(0.065)^t
f(t)=478(6.5)^t
f(t)=478(1.065)^t

Answers

Answer:

Correct choice is A

Step-by-step explanation:

Note that 6.5% is 0.065 as decimal.

Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year, then the function that represents the situation is

[tex]y=478\cdot (1-0.065)^t=478\cdot (0.935)^t,[/tex]

where t is time (in years).

Options C and D are false, because functions are increasing, option B is false, because this function represents how much will the value decrease.

Answer:

The correct answer is A

f(t)=478(0.935)^t


1.2357 is a whole number or interger number?

Answers

Answer:

It is a terminating decimal.

Step-by-step explanation:


Find the slope between (1, 1) and (8, 7)

Answers

Answer:

6/7

Step-by-step explanation:

Change in y over the change in x.


7 - 1 over 8 - 1 =


6 over 7


6/7

The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p.

Answers

Answer:

Value of p is 1.2.

Now drag and drop the values as per explanation.

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.


What is the value of the expression?−29−(−13÷3/5)Enter your answer, as a fraction in simplest form, in the box.

Answers

Answer:

Answer in simplest fraction form is  -22/3

Step-by-step explanation:

We have given,

-29 - (-13 ÷3/5)

we can simplify this as:

i.e   -29 -(-13/(3/5))

or     -29 - (-13 ×5÷3)

or     -29 + 65/3

or      (-87 + 65 )/3

or     -22/3

hence we get fraction in simplest form as -22/3 .

6x-5y=17 solve the system

Answers

6x-5y=17
-6x -6x
__________
-5y= -6x+17
______________
-5


y=
[tex] \frac{6}{5 } x + \frac{17}{ - 5} [/tex]

Either Table L or Table M shows a proportional relationship. (Table L) - X -1,0,1,2 and Y= -2,0,2,4. (Table M- )X= -1,0,1,2, and Y= -4,0,6,9. Plot the points from the table that shows a proportional relationship.

Answers

Answer:  Table L shows a proportional relationship.


Step-by-step explanation:

in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)

in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)

Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.

In table M, the increment for x values is 1 but there is no consistent increment for y values.

-5x+7y=11
-5x+3y=19
Elimination

Answers

[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]

Find the value of x when the expression 6x+9 equals 3x+6

Answers

Answer: 1=x


Step-by-step explanation:

                                6x+9=3x+6                                                                                                      -6         -6        

                                    6x+3=3x                                                                                               -6x   -6x      3=-3x                                                                                  3 divided by 3 is one    1=x                         I hope this helps sorry if its incorrect i havent done this in a while

Answer:

x = -1

Step-by-step explanation:

Subtract 3x from both sides

6x + 9 - 3x = 3x + 6 - 3x

3x + 9 = 6

Subtract 9 from both sides

3x + 9 - 9 = 6 - 9

3x = -3

Divide both sides by 3

3x/3 = -3/3

x = -1

What is the difference in temperature between February and may?
A. 61

B.13

C.3

D.4

Answers

The answer is 3 which is c

The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never

Answers

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me

How do I do these??? I need help ASAP!!!

Answers

you have to gather like terms. for example numbers with the same letter go together. when you gather them, as the number with the letter move across the equal sign, they change operation. for example,
[tex]7n + 2 = 4n + 17[/tex]
becomes
[tex]7n - 4n = - 2 + 17[/tex]

The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?

Answers

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50


Answer:

14.50

Step-by-step explanation:

You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.

If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.

(25/100) * 58 = 14.50

So his reduction is $14.50


the distance between earth and the moon is about 238,900 miles. round this number to the nearest ten thousand

Answers

Answer:

240000...............................


Ming has a goal to jog 4 1/2 miles each day. On Monday she jogged 5 9/16 miles. How many much if she exceed her goal for that day?

Answers

Answer:

Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day

Exep-by-step explanation:

[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]


PLEASE HELP! 49 POINTS!
Show work and explain! I don't get it.

Answers

Answer:

B

Step-by-step explanation:

-6 10n to the 5 11n to the 3

you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together

Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)

Rearrange respective Like terms as they are a Family, They should be together.

In the Given Expression, The Like terms are :

✿  3n⁵ and 7n⁵

✿  6n³ and 5n³

✿  -3 and -3

After Rearranging, The Given Question looks like :

✿  (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3

Now, Add the Like Terms as they belong to the same Family

⇒ 10n⁵ + 11n³ - 6

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