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Answers

Answer 1

Answer:

a. [tex]f^-^1(x)=\frac{x}{4} +3[/tex]

b. [tex]f(-9)=-48[/tex]

c. [tex]f^-^1(-9)=\frac{3}{4}[/tex]

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

[tex]f^-^1(x)=4x-12[/tex]

[tex]y=4x-12[/tex]

[tex]x=4y-12[/tex]

[tex]x+12=4y[/tex]

[tex]\frac{x}{4} +3=y[/tex]

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

In b, all you have to do is plug in -9 into f(x).

[tex]f(9)=4(9)-12[/tex]

[tex]f(9)=-48[/tex]

In c, you plug in -9 into inverse function f.

[tex]f^-^1(-9)=\frac{3}{4}[/tex]


Related Questions

John can clean pools at a constant rate of 3/5 pools/hours. How many pools can John clean in 10 hours?

Answers

Answer:

30/5=  6

Explicción:

Lo  utliplicas yl odivides ..m

Answer:

'peqdrit 8urehudhvh dn dhdhs c ch

Step-by-step explanation:

wehvcfkb,x bgc hd bhnld uhurheb egjyr g ehu just tryna get me some points

Question 2
0/1 pts
A design for a building has a scale of 1/3 inch = 4 meters. On the blueprint
(drawing of the building), the length of the building is 2 2/3 inches. What is the
actual length of the building?​

Answers

Answer:

  32 m

Step-by-step explanation:

The length of the building on the drawing is 2 2/3 = 8/3 inches, so represents a length that is 8 times the length represented by 1/3 inch.

  8 × 4 m = 32 m

The actual length of the building is 32 meters.

Emily bought 15 books at a cost of 172.50. What is the cost of each book if they cost the same.

Answers

Answer:

11.50

Step-by-step explanation:

172.50 divided by 15= 11.50

Hope it helps

Mark me Brainliest

Answer:

11.5

Step-by-step explanation:

Does anyone on Brainly know how to do this

Answers

Answer:

P'(5, -1)Q'(7, 3)R'(10, 1)

Step-by-step explanation:

The translation 5 to the right adds 5 to the x-value.

The translation 1 unit down subtracts 1 from the y-value.

  (x, y) ⇒ (x+5, y-1)

P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)

Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)

R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)

Answer:

P'[5,-1], Q' [7,3], R'[10,1]

Step-by-step explanation:

Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.

There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?

Answers

Answer:

There are 39 different choices

Step-by-step explanation:

Add the the flavors of ice cream the cones and the scoops.

31+2=33

1+2+3=6

33+6=39

Hope this helps

The difference of 3 times a number and 15 is no less than the square of the number.

Answers

Answer:

3x-15 greater than/= x^2

Step-by-step explanation:

Multiply the following numbers.

18.4 x 7.1 =

130.64
1,306.4
13.064
1.3064

Answers

its 130.64 first one

Answer:

The first one

Step-by-step explanation:

you would do 18.4 times 7.1 which is 130.64 which is equal to 130.64 which is the first answer

Hope this helped

(・∀・(・∀・(・∀・*)

Plot the the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.

Answers

Answer: 79 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

Pablo is 4 feet 10 inches tall. what is his height in inches?

Answers

Answer:

The answer is 58

Step-by-step explanation:

12 times 4 = 48

48 plus 10 = 58

1 foot = 12 inches

Point A is a representation of which number on the number line?

A number line has points blank, A, negative 2, B, 0, C, 2, blank, D.
–4
–3
1
4

Answers

Answer:

B

Step-by-step explanation:

Answer

-3

Step-by-step explanation:

on edge 2020

What is the value of X in the equation below 1/3×12 X -24 equals 16

Answers

Answer: The answer should be X=10

Step-by-step explanation: Trust me  I actually know what I'm talking about.

What is the volume of the figure?

Answers

Answer:

[tex] 2268 \: mm^3 [/tex]

Step-by-step explanation:

Volume of figure = Area of base * height

[tex]18 \times 9 \times 14 \\ = 2268 \: {mm}^{3} [/tex]

WIll RATE BRAINLIST PLZ HELP

Answers

Answer:

  4396

Step-by-step explanation:

The following transformations are defined:

  R: {1, 2, 3, 4} ⇒ {3, 2, 1, 4}

  B: {1, 2, 3, 4} ⇒ {2, 1, 3, 4}

  Y: {1, 2, 3, 4} ⇒ {1, 4, 3, 2}

Then the sequence RYBRY performs the transformation ...

  {1, 2, 3, 4} ⇒ {3, 2, 1, 4} ⇒ {3, 4, 1, 2} ⇒ {4, 3, 1, 2} ⇒ {1, 3, 4, 2} ⇒ {1, 2, 4, 3}

And the sequence BRYB performs the transformation ...

  {1, 2, 3, 4} ⇒ {2, 1, 3, 4} ⇒ {3, 1, 2, 4} ⇒ {3, 4, 2, 1} ⇒ {4, 3, 2, 1}

___

If we swap the last two digits of the first result, we will get the original number back: 6934.

If we swap the digits end-for-end, we will then get the result of the second transform: 4396.

Had Ali performed the second sequence on her original number, she would have gotten 4396.

a train 150 metre long is running at 72 kilometre per hour it crosses a bridge in 13 seconds find the length of the bridge​

Answers

Answer:

Length of the bridge = 110 m

Step-by-step explanation:

Let the length of the bridge be x m.

Total distance covered by train in 13 sec = length of train + length of bridge = (150 + x) m

[tex]speed \: of \: train \\ = 72 \: kmph \\ = 72 \times \frac{1000}{3600} \: mps \\ = 20 \: mps \\ \because \: distance = speed \times time \\ \therefore \: 150 + x = 20 \times 13 \\ \therefore \: 150 + x = 260 \\ \therefore \:x = 260 - 150 \\ \huge \red{ \boxed{\therefore \:x = 110 \: m}}[/tex]

mps means meter per second

Check all that apply

Answers

Answer: 3 y -6

x=3 and x=-6

14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.

Answers

Answer: 9 cubic inches

If u have 40 dollars which is 8 times more money than Jefferson has how much money does Jefferson have

Answers

Write it as an equation, letting the amount Jefferson has equal x:

40 = 8x

Solve for x by dividing both sides by 8:

X = 40/8

X = 5

Jefferson has $5

Find the difference. Write your answer in simplest form. 4 7/9 - 2 2/3

Answers

Answer:

[tex]= 2 \frac{1}{9} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{7}{9} - 2 \frac{2}{3} \\ \frac{43}{9} - \frac{8}{3} \\ \frac{43 - 24}{9} \\ = \frac{19}{9} \\ = 2 \frac{1}{9} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve the equation 5x + 23 = 2y - 5 for x if
y is 4. Make sure to first solve the equation for
x in terms of y.
X =​

Answers

the answer is x = -4

Giving brainliest for CORRECT awnser.

Answers

Answer:

Option A

................

A store sells a 114 pound package of turkey for $9.

​What is the unit price of the turkey in the package?


Answers

Answer:

Each pound of turkey in the package cost 7.20 dollars.

Step-by-step explanation:

If you wanted a explanation then comment

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

Which of the following is the result of expanding 5 £ n=1 (2n-2)?

Answers

Answer:B on edge (15.5)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Someone please help :3

Answers

Answer:

favorite zoo animal

Step-by-step explanation:

Answer: Favorite zoo animal

Step-by-step explanation:

Cuanto es 32256 dividido para 25 con proceso

Answers

Answer:

1290.24

Step-by-step explanation:

This has to do with simple division

Cuanto es 32256 dividido para 25 con process translation was translated In English language. I translated the question to mean 32256 divided by 25

Step one

32256 divided by 25

32256/25 = 1290.24

The answer is 1290.24

what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?

Answers

Answer:

4.48 ×10^-4

Step-by-step explanation:

Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;

5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.

The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the game.

Number of free throws vs. Number of Points Scored
Number of free Throws Made (f) | Numbers of Points Scored (s)
5 15
3 11
8 20
7 18
9 21

Alex used a regression calculator to find the equation of the trend line y = a x + b for the data in the table. He rounded the values for a and b on his calculator as shown below.

a = 1.7
b = 6.2

Which trend line compares the data in the table?

s = 1.7 f + 6.2
s = 6.2 f + 1.7
f = 1.7 s + 6.2
f = 6.2 s + 1.7

Answers

Answer:

The regression equation of the data will be:

[tex]s=6.2f+1.7[/tex]

Step-by-step explanation:

A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.

The general form of a simple linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The data is provided for the number of free throws a player makes in a basketball game and the number of points the player scores in the game.

The free throw in a basketball game implies that for every throw shot made the player receives point.

This implies that the points scored are based upon the number of free throws made by a player.

So, the dependent variable is the number of points scored and the independent variable is the number of free throws a player makes.

Then the regression equation of the data will be:

[tex]s=6.2f+1.7[/tex]

Answer:

y = 1.7x + 6.2

Step-by-step explanation:

read the problem closely to figure out S and F. I can guarentee that if you read the entire thing, you will know if the answer is. It is either choice one or three

Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet
high
If paint covers 400 square feet, per gallon, and costs $14.95 a gallon, how much will it cost to paint
Cara's room?

Answers

Answer:

$29.90

Step-by-step explanation:

Can you only buy paint by the gallon?  That is what I am thinking.  

She is painting 4 walls.  I am thinking that she is not painting the floor or the ceiling.

The area of the four walls would be:

(11.6 x 10) = 116

(11.6 x 10) = 116

10.6 x 10) = 106

(10.6 x 10) = 106

This totals 444 square feet.  Since a gallon can only paint 400 square feet, she will need to buy 2 gallons for 29.90

write the measurement 1357 mm into the place value table below
m I cm I mm
I I

Answers

Answer:

m=1.357 cm=135.7 mm=1357

Step-by-step explanation:

m=1357 Divided by 1000

cm=1357 Divided by 10

The measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

The measurement is 1357 mm

As we know,

1 m = 100 cm

1 cm = 10 mm

Or

1 m = 100 cm = 1000 mm

The measurement is 1357 mm

It can be converted into m after dividing by 1000

= 1357/1000

= 1.357 m

In cm:

Divide by 10

= 1357/10

= 13.57

Thus, the measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

#SPJ2

Which of the following is not a credit card perk? A. Cash back B. Hotel Points C. apr D. Air Miles

Answers

Answer:

C

Step-by-step explanation:

ahahahahhahahahahahahahhahahannooooooooooooooooonoooo

Answer:

APR

Step-by-step explanation:

Just answered on A p e x

Evaluate ab + c for a = 2, b = 3, and c= 4.
010
27
9

Answers

The answer is 9

Two plus three is equal to 5, plus four equals to 9

Answer:10

Step-by-step explanation:

answer is 10, plug in your numbers and you have 2(3) + 4. 2x3=6, add 4 and you get 10

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