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

Answers

Answer 1

Answer:

denoted interchange solve

Step-by-step explanation:

y= (2-x)/3 Let f(x) be denoted by y, thus y= -3x+2 Now interchange x and y, it becomes x= -3y+2 Solve for y, y= (2-x)/3 This is f^(-1) x


Related Questions

I know this might be a easy answer but with proper algebra format a chicken has two legs a dog has 4 legs the chicken must have 14 more legs than the dog And it has to add up to 28 legs this is easy but I wanna know how to get the answer

Answers

Step-by-step explanation:

Let each let of chicken be C and dog be D respectively.

Then as per question

2C+4D = 28.......i

and

C-D =14........ii

These are the two algebraic equation which you are looking for solve them

to get the answer

can someone please help me!

Answers

Answer:

60

Step-by-step explanation:

Please help me. Thank you! ​

Answers

Answer:

25

Step-by-step explanation:

I don't know the steps

I really need help with this.

Answers

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

Mr. Z bought an all-terrain vehicle (ATV) in 2010 for $7,000. The value of the ATV decreases at a rate of 11% per year. How much is the ATV worth in 2025? First, write an equation that represents the value of the ATV, V, after x years. Then calculate how much the ATV is worth in 2025. You must use the equation that you set up and show what you typed into your calculator in order to earn full credit. round your answer to the nearest whole dollar.

Answers

Answer:

i did the math in my calculator and came up with -4550 i don't know what i did

Step-by-step explanation:

Can someone solve this please: 54.69 rounded to the nearest integer

thank you <3​

Answers

Answer:

55

Step-by-step explanation:

55
Rounding up to an integer is rounding up to a whole number, 55 would be the nearest whole number!

Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.

Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.

Answers

Answer:

Step-by-step explanation:

7.9 meters per second

an urn contains 10 blue marbles and 8 yellow marbles a marble is drawn and dropped back into the urn. Then a second marble is drawn and dropped back into the urn both marbles are yellow if another marble is drawn. what is the probability that it will be blue

Answers

Answer:

80/729

Step-by-step explanation:

8/18x8/18x10/18=640/5832

80/729

Free Pls help
Question: Solove for X

Answers

I'm sorry, I thought I could have helped. I hope you have a nice day!

X=13 is the answer I think

According to a weather report, there is a 28% chance it will rain tomorrow. What is the
probability that it WILL NOT rain tomorrow? (two decimal answer approximation)

Answers

Answer:

wouldnt it be 72%?

Step-by-step explanation:

the percent is out of 100. if the probability of rain is 28% and you subtract that from 100% you are left with 72%

100%-28%

=72%

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.

Answers

Answer:

B. (x , y) -> (-y , x)

Step-by-step explanation:

counter clockwise rotation 90° : (x,y) -> (-y,x)

(12+34)×2.3= (talk to me please please please)​

Answers

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Simplify the ratio 0.3:0.48

Answers

Answer:

0.1:0.16

Step-by-step explanation:

they can both be divided by 3

.48/3=.16

.3/3=.1

Did I do it rightly?

Answers

Yes. If the segment only has 2 points, it can be named both ways.

Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?

Answers

Answer:

$22.5

Step-by-step explanation:

The original price is $30 and it's on sale for 25% off.  Since 25% is a quarter of the total price, I divided 30÷4=7.5.  $7.5 is 25% of $30, so 7.5 is the amount taken off the original price.  To find what Daysi paid, I subtracted 30-7.5=22.5.  $22.5 is the result after the 25% off, so Daysi paid $22.5.  

What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.

Answers

Answer:

0.8

Step-by-step explanation:

Answer:

.8

Step-by-step explanation:

Find the value of x *

A) 20

B) 10

C) 15

D) 25

Answers

Answer:

B. 10

Step-by-step explanation:

While doing construction O and P are joined then

OQ = OR

<QOR = 80°

<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)

<QPR = 80°/2

<QPR = 40°

SO

< QPO = X

<RPO = 30°

<QPO + <RPO = < QPR

X + 30° = 40°

X = 40° - 30°

X = 10°

hope it helps

Multiply Fractions and Whole Numbers

7 x 2/3 =

Show me your work

Answers

14/3 = 4 2/3 - simplified

The simplified form of the Multiplication of Fractions and Whole Numbers would be  4 2/3.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1.

Given that the fraction expression as;7 x 2/3

We need to multiply Fractions and Whole Numbers

7 x 2/3 = 14/3

Now convert simple fraction into mixed;

14/3 = [tex]4 \frac{2}{3}[/tex]

Therefore, the simplified form of the Multiplication of Fractions and Whole Numbers would be  [tex]4 \frac{2}{3}[/tex].

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What is the answer to x? Given the top of the triangle is 80.

Answers

what are the answer choices?

12) Wendy is creating a board game. She wants to cut square game pieces that
1
measure 1 inches on each side from a piece of paper that measures 9 inches by 9
2
inches. How many game pieces can Wendy cut from the paper?

Answers

Answer: 36

Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!

a rectangle has dimensions of (3y+2)cm as the length and (x+7)cm as the other length and 2x cm as the breadth and (x+y+1)cm as the other breadth find the values of x and y and the dimensions​

Answers

Answer:

x = 4 cm

y = 3 cm

Dimension is 11 by 8

Step-by-step explanation:

The computation of the values of x and y and their dimension is shown below:

3y + 2 = x + 7

3y - x = 5.......(i)

2x = x + y + 1

x - y = 1...........(ii)

Now solve these both equations

2y = 6

y = 3 cm

And,

x - y = 1

x - 3 = 1

x = 4 cm

Now their dimension is

= x + 7

= 4 + 7 = 11

And,

= x + y + 1

= 4 + 3 + 1

= 8

So, 11 by 8

plz help thannkkk you so muchh

Answers

This is a bit strange how your teacher mentions the height increases at 10 inches per minute, but then doesn't refer to the time value afterward.

Ignoring that oddity, we have [tex]V = \pi*r^2*h[/tex] turn into [tex]V = \pi*4^2*h[/tex] when plugging in r = 4. This simplifies to [tex]V = 16\pi*h[/tex]

This represents the volume V for any given height h.

Let's plug in [tex]V = 80\pi[/tex] and solve for h

[tex]V = 16\pi*h\\\\80\pi = 16\pi*h\\\\80 = 16*h\\\\80/16 = h\\\\5 = h\\\\h = 5[/tex]

Note: in the jump from step 2 to step 3, I divided both sides by pi.

So we found that when the height is h = 5 feet, this leads to the volume being [tex]V = 80\pi[/tex] cubic feet.

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

Let's convert from feet to inches

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

The height of the cylinder is 60 inches when the volume is 80pi cubic feet.

We're told that the height increases by 10 inches per minute. This would mean that h = 10t assuming the height starts at 0 when the time value is t = 0.

Solving for t leads to...

h = 10t

60 = 10t

60/10 = t

6 = t

t = 6

After 6 minutes, the height is 60 inches = 5 feet.

Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the next 14 clients to get haircuts should you expect to have blond hair?

Answers

Answer: 7 clients

Step-by-step explanation:

Of the last 10 clients that cut their hair at the salon, 5 had blond hair.

That is a proportion of:

= 5 / 10

= 1/2

Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:

= Number of clients * 1/2

= 14 * 1/2

= 7 clients

PLEASE PUT THE FOLLOWING IN ORDER
tysm

Answers

Y = 500x + 38000 would be the first step, as that sets up the equation. Then, 45500 = 500x + 38000 would be the next. Third would be 7500 = 500x, as that is where we subtract 38000 from both sides. Then, finally the answer is x = 15.
To put it in a list
1. Y = 500x + 38000
2. 45500 = 500x + 38000
3. 7500 = 500x
4. 15 = x meaning 15 air conditioners must be sold

Answer:

yessuh

Step-by-step explanation:

How do I solve this question

Answers

Answer:

/2

Step-by-step explanation:

plz help ima freak out if I don't complete this

Answers

Answer:

2 and 3 are c you should try to do the others on your own they are just properties

Step-by-step explanation:

Answer:

2 and 3 are C, and 4 and 5 are B

Step-by-step explanation:

mr iniguez can bike 157 miles in 5 hours . How many miles can he bike 1 hour?​

Answers

Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour

Step-by-step explanation:

I divided

Answer:

If he bikes 157 miles in 5 hours and we need to know hhwo many miles he can bike in 1 hour, we need to divide

157/5=31.4

Step-by-step explanation:

157 divided by 5

5 fits in 15 3 times

5x3=15

15-15=0

we bring down the 7 and 5 only fits in 7 one time

5x1 is 5 so 7-5 is 2

we add a decimal after 157 and drop it down to creat 20

5x4 is 20 so the answer is 31.4

At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point

Answers

Answer:

18.6

Step-by-step explanation:

28 divided by 1.50 equals 18.6

The number of rides will be equal to 12 in the Carnival.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.

The number of rides will be calculated by forming an equation below,

A = 10 + 1.5R

28 - 10 =1.5R

1.5R = 18

R = 18 / 1.5

R  = 12

Therefore, the number of rides will be equal to 12 in the Carnival.

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What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x

Answers

Answer:

48

Step-by-step explanation:

Khan Academy

The value of [A] will be 48.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that we have rewritten -

(1/7)ˣ ⁻ ² - (1/7)ˣ  as  [A] x (1/7)ˣ

We have (1/7)ˣ ⁻ ² - (1/7)ˣ  rewritten as [A] x (1/7)ˣ. So, we can write -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :

[(1/7)ˣ / (1/7)²] - (1/7)ˣ

(1/7)ˣ [1/(1/7)² - 1]

We have -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

So, we can write -

(1/7)ˣ × [1/(1/7)² - 1] =  [A] × (1/7)ˣ.

On comparing, we  get -

[A] = [1/(1/7)² - 1]

[A] = 48

Therefore, the value of [A] will be 48.

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