let f(x)=2/3x-6 what is the inverse function?

Answers

Answer 1

Change f(x) to a y and switch places with y and x as below.
[tex]x= \frac{2}{3} y-6[/tex]

Solve the equation for y
[tex]x + 6 = \frac{2}{3} y[/tex]

Multiply each term by the reciprocal of [tex] \frac{2}{3} [/tex]
[tex] \frac{3}{2} (x+6) = y[/tex]

Distribute
[tex] \frac{3}{2} x+9=y[/tex]

Change y to [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{3}{2} x+9[/tex]

Related Questions

3 numbers that are greater than 12,000 but less than 13,000

Answers

12001, 12002, 12003 so lol

12001
12002
12003
and so on until 12999

Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip.

Which expression is equivalent to the amount Miko paid?

A.16 + 1.18

B.(1+0.18)16

C.16+0.18(16)

D.1+0.18(16)

Answers

C is most likely the answer.

I took a test and this question was on it the correct answer is B.

Please please please mark me as brainliest

I lost the little piece of paper that had my locker combination written on it! It takes me 10 seconds to try each of the combinations I can think of, and I have tried a total of 15 combinations so far! Looks like I am going to be late for class ...

Define a unit for the length of time spent trying combinations. Then enter a variable for the number of additional combinations tried and use this variable to write an expression for the length of time spent trying combinations.

Answers

Final answer:

The unit of time spent trying locker combinations is seconds, with the student already having spent 150 seconds. Introducing a variable x for additional combinations, the total time is expressed as 10x + 150 seconds.

Explanation:

Let's define the unit for the length of time spent trying combinations as seconds. Since the student spends 10 seconds on each try, and has tried 15 combinations, that's already 150 seconds spent. Now, let's introduce the variable x to represent the number of additional combinations the student will try. If each additional combination takes 10 seconds to try, then the total length of time spent trying combinations would be 10x seconds for the additional tries. Add this to the initial 150 seconds, and we get an expression for the total time spent as 10x + 150 seconds.

subtract v from t , subtract the result from s then what have you from u

Answers

u- (s - (t - v))

hope this helps

what about 2.19 how do you spell it

Answers

So this may not be 100% right they do it different in some schools but the way I do it is,
Two point Nineteen In some cases it would be, Two point Nineteenth

Answer:

From my experience, in primary school they say: "two and nineteen hundredths," but when you get into secondary, and senior secondary school, they simply say "two point nineteen."

Step-by-step explanation:

[look above]

Solve for x: one over eight(8x + 15) = 24

Answers

1/8(8x + 15) = 24

First step is to distribute.
(1/8)*8x + (1/8)*15 = 24
8/8x + 15/8 = 24

Now subtract 15/8 from both sides.
x = 24 - (15/8)
x = (192/8) - (15/8)
x = 177/8
x = 22.125

which answer is an equation in point-slope form for the given point and slope?
point: (5,9); slope: 2
a. y-9=2(x+5)
b.y-9=2(x-5)
c.y-5=2(x+9)
d.y+9=2(x-5)

Answers

b. y - 9 = 2 (x - 5)

the answer to your question is b: y-9=2(x-5)

find the quotiend of 4.13 x 10^8 and 0.04 x 10^5

Answers

The answer to this is 103250. Remember, the word quotient means the answer to a division problem.

At Anne’s Fabric Emporium, a yard of chiffon fabric cost $7.85. Lee plans to purchase 0.8 yard for a craft or project. How much money will Lee spend on chiffon fabric?

Answers

Okay. So Lee is buying 0.8 yard of fabric from Anne’s and a whole yard costs $7.85. To find out how much it would cost, multiply 7.85 * 0.8. When you do that, you get 6.28. Lee will spend $6.28 on chiffon fabric.

Please create your own real-world scenario that requires the use of the distributive property.
Write the problem and show all the steps needed to find the answer.

Then include a description on how this problem uses the distributive property.

Please help me with this, thanks so much in advance!

Answers

My use of distributive is that you have 3 cows and 6 lambs then you have to kill them for meat. But the problem is you have to get twice the meat you usually get. So what do you do? You just cut the meat half the thickness you usually cut. It goes like this 2(3+6)= 18. First add the 3 and 6 together get 9 then multiply 9 by 2 and get 18.

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. Which unit of measure is the most appropriate to use in this situation?
A) square feet B) square miles C) square inches D) square centimeters

Answers

A) square feet
if you are measuring the room u do not use centimeters because it to small to measure and take forever to measure the room
mile are long so that won't work
inches take a long time to measure a room that would not work
so a is the answer

I need help with this please

Answers

The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.

Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years

Identify the domain and range of the table below

Answers

Domain: 3<x<6
Range: 11<y<8

jen wrote 10 times as many pages of a school report as tom. they wrote 396 pages altogether. how many pages did each student write

Answers

i am not sure but i think it is 184.4

Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14 ?

(2, −4) is a solution to the equation.
Both ordered pairs are solutions.
Neither ordered pair is a solution.
(−9, 3) is a solution to the equation.

Answers

Neither ordered pair is a solution.
If you solve y^2-6y + 14 = 0 you'll see by the discriminate b^2-4ac
that it is not a perfect square, i.e = -20, so the solutions are imaginary numbers, i.e. no real solutions.

Write the numbers in expanded form 592,682

Answers

Five hundred ninety two thousand six hundred eighty two

Here is your answer:

5 ×100,000+9 ×10,000+
2 ×1,000+6 ×100+8 ×10+2 ×1

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. the next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1027. the following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2091. find the cost of a trumpet, a clarinet would, and a violin.

Answers

Trumpet = $174 Clarinet = $149 Violin = $89 Let's write some equations to express what we know. 2t + 3c + 5v = 1240 3t + 1c + 4v = 1027 5t + 7c + 2v = 2091 So we have 3 unknowns and 3 equations. The 2t and 3t are rather interesting in the 1st 2 equations since the 3rd equation has 5t. So if we subtract the 1st and 2nd equations, we can cancel out the t values. So 5t + 7c + 2v = 2091 -( 3t + 1c + 4v = 1027) = 2t + 6c - 2v = 1064 -(2t + 3c + 5v = 1240) = 3c - 7v = -176 Now we can express c in terms of v. 3c - 7v = -176 3c = 7v - 176 c = (7/3)v - 58 2/3 Substitute the expression (7/3)v - 58 2/3 for c in the expression 2t + 3c + 5v = 1240 giving 2t + 3((7/3)v - 58 2/3) + 5v = 1240 and solve for t, first distribute the 3 2t + 7v - 176 + 5v = 1240 Merge the v terms 2t + 12v - 176 = 1240 Add 176 to both sides 2t + 12v = 1240 + 176 = 1416 Subtract 12 v from both sides 2t = 1416 - 12v Divide both sides by 2 t = 708 - 6v Now substitute both 708 - 6v for t and (7/3)v - 58 2/3 for c in 3t + 1c + 4v = 1027 and solve for v 3t + 1c + 4v = 1027 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 Distribute the 3 3(708 - 6v) + (7/3)v - 58 2/3 + 4v = 1027 2124 - 18v + (7/3)v - 58 2/3 + 4v = 1027 Combine terms 2065 1/3 - (11 2/3)v = 1027 Subtract 2065 1/3 from both sides -(11 2/3)v = 1027 - 2065 1/3 = -1038 1/3 Divide both sides by -11 2/3 v = 89 So we know the violins cost $89 each. Plugging that value into the formula t = 708 - 6v which we created earlier t = 708 - 6v t = 708 - 6 * 89 = 708 - 534 = 174 So we know that a trumpet costs $174 Now plug the price of a violin into the formula c = (7/3)v - 58 2/3 to get the cost of a clarinet. c = (7/3)v - 58 2/3 c = (7/3)89 - 58 2/3 = 207 2/3 - 58 2/3 = 149 And a clarinet is $149 Let's verify 2t + 3c + 5v = 2*174 + 3*149 + 5*89 = 348 + 447 + 445 = 1240 3t + 1c + 4v = 3*174 + 1*149 + 4*89 = 522 + 149 + 356 = 1027 5t + 7c + 2v = 5*174 + 7*149 + 2*89 = 870 + 1043 + 178 = 2091 All the expressions match what was given, so the prices are Trumpet = $174 Clarinet = $149 Violin = $89

What expression is equal to (1+6i)-(7+3i)

Answers

I think it would be 0.72 i don't really know sorry just trying to help :) have a cool day

you need to distribute -1 into the second parenthesis as follows:

(1+6i)-(7+3i) = 1 + 6i - 7 - 3i

then combine like terms:

(1-7) + (6i - 3i)
=
-6 + 3i

Done

I hope that helps!

there are 12 grams of protein in 2 ounces of almonds. write if it is a proportional relationship

Answers

It is a proportional relationship since as the number of ounces of almonds increase, the amount of grams of protein also increases.

what is is the measure of one angle of a non-regular pentagon

Answers

It will be less than 70 because 1 angle of pentagon is approximately 70 degrees.

PLEASE HELP 15 POINTS

Simplify the expression below.
3 + 7 ∙ 2 + 52 ∙ │−8 │

217

360

642

1,250

Answers

3+14+416

which equals:

17+416

your answer is:

433

I hope this helped! :))

(im not sure if the numbers you put: 217, 360, 642, 1,250 are multiple choice but I think the answer I gave you is correct!) :)

Elisa's cow give 1 3/4 gallon milk each day.How much is this in quarts?
Write your answer as a whole number or a mixed number in simplest.Include the correct unit your answer

Answers

There are 7 quarts in 1 3/4 gallons.

The answer is 7 quarts.

Help plz explainnnnnn

Answers

The answers are choice B and choice C

----------------------------------------
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Mr Nemo has 5 desks while Mr Benn has 2 desks

We can say the following
number of desks Mr Benn has = (2/5)*(number of desks Mr Nemo has)
2 = (2/5)*(5)
2 = 2

Which basically is the math translation of "Mr Benn has 2/5 as many desks as Mr Nemo", so that's why choice C is one of the answers.

-----------------

Flip things around and we get

number of desks Mr Nemo has = (5/2)*(number of desks Mr Benn has)
5 = (5/2)*(2)
5 = 5

Note: 5/2 = 2 & 1/2

This is a translation from "there are 2 & 1/2 times as many desks in Mr Nemo's room as in Mr Benn's room" pointing to choice B as the other answer.

fred got a score of 84 on the test. write a division sentence using negative integers where the quotient represents the number of questions fred answered incorrectly

Answers

We are given that:
>perfect score- 100
>number of questions of the test- 25
>worth of each question- 4 points
>Fred's score- 84
Let us say that n- number of questions Fred answered wrong

The solution:
let us solve for n
>division sentence: (100 ÷ 4 ) - ( 84 ÷ 4 ) = n

(100 ÷ 4 ) - ( 84 ÷ 4 ) = n
25 - 21 = n
4= n

Therefore Fred answered 4 test questions incorrectly.

Final answer:

To create a division sentence expressing the number of incorrect answers as a negative integer, you would divide the total number of questions by -0.16. This implies that Fred answered 16% of the questions incorrectly.

Explanation:

To write a division sentence using negative integers where the quotient represents the number of questions Fred answered incorrectly, we need to first determine the total number of questions on the test. We can assume that a perfect score is 100%. If Fred scored an 84, that implies he got 84% of the questions correct. We do not know the total number of questions, so let's denote the total number as x.

Since Fred got 84 out of 100 percent, that means he answered 16% of the questions incorrectly. In terms of the total number of questions x, he answered 0.16x questions incorrectly. Since he answered these questions incorrectly, and incorrect answers are considered as losses or negatives, we can multiply the total number of questions x by -0.16 to find the number of questions he answered incorrectly. Therefore, the division sentence could be -x/(-0.16) = y, where y represents the number of questions Fred answered incorrectly.

If ΔABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'?
A) (0, 0)
B) (0, 3)
C) (0, 4)
D) (0, 6)

Answers

The correct answer is

D) (0, 6)

How do I solve 5x-12=6x+12

Answers

You subtract the 5x on both sides
leaving it to be -12=x+12
then you minus 12 (one with the x) on the both side
it being -24=x

Please help me!!!!!!!!!!!!! I'll give brainleist !!
Alex is 3 times as old as he was 2 years ago. How old is he now?

Answers

If your looking for the answer, this question is invalid. However, if the question is asking for the function equation, the answer is y=3x-2

Let "a" represent Alex' age. Translating the given sentence into symbols,

a = 3(a-2). Thus, a = 3a - 6, or 6 = 2a, or a = 3.

Alex is 3 years old now. (Answer)

Check:

2 years ago he was (3-2), or 1, year old. three times that does equal 3.

I need help with this!
TJ, Max, and Misha are all the same age. The sum of their ages is s years. How old was TJ eight years ago?
Thanks!

Answers

Let x = TJ's current age.
Therefore each of the three has the same age.
Because the sum of their ages is s, therefore
3x = s
x = s/3

TJ's age 8 years ago is s/3 - 8

Answer: s/3 - 8

Final answer:

TJ's age eight years ago is found by dividing the sum of their current ages, s, by 3 to find each person's age and then subtracting 8. Hence, TJ's age eight years ago is (s/3) - 8.

Explanation:

If TJ, Max, and Misha are all the same age and the sum of their ages is s years, we can establish that the age of each one of them is s/3. To determine how old TJ was eight years ago, we simply subtract eight from his current age.

So TJ's age eight years ago can be calculated as follows:

Find TJ's current age: TJ's age = s/3.

Subtract eight years to find his age at that time: Age eight years ago = TJ's age - 8

Therefore, TJ's age eight years ago = (s/3) - 8.

Solve the proportion 5/3c = 1/6

Answers

the proportion is c=0.1
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Plot a formula | Expression Simplifier and Solver |

YOUR ANSWER
This is an equation! Solutions: c=0.1.
Graphical form: Equation was fully solved.Text form: 5/3*c=1/6 simplifies to 0=0Cartoon (animation) form:
For tutors: simplify_cartoon( 5/3*c=1/6 )If you have a website, here's a link to this solution. DETAILED EXPLANATION Look at .
Moved these terms to the left
It becomes .
Look at .
Solved linear equation equivalent to 1.66666666666667*c-0.166666666666667 =0
It becomes .
Result:
This is an equation! Solutions: c=0.1.

PLZ HELP The drama teacher wants to estimate how many tickets to sell for a show. The auditorium has 56 rows of seats. There are 32 seats in each row. Which explains whether it makes more sense to find an overestimate or an underestimate to decide how many tickets to sell?

A. It makes more sense to find an underestimate so that some people can enter the auditorium without buying a ticket.
B. It makes more sense to find an underestimate to make sure there are enough seats for everybody who buys a ticket to the show.
C. It makes more sense to find an overestimate to make sure every seat in the auditorium is filled.
D. It makes more sense to find an overestimate so that the show makes the most amount of money it can.

Answers

Answer:

The answer is

B. It makes more sense to find an underestimate to make sure there are enough seats for everybody who buys a ticket to the show.

Step-by-step explanation:

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