Which of the following pairs of functions are inverses of each other?

A.
[tex]f(x) = \frac{x}{4} + 10 \: and \: g(x) = 4x - 10 [/tex]
B.
[tex]f(x) = {2x}^{3} + 9 \: and \: g(x) = \sqrt[3]{ \frac{x}{2} } - 9 \: [/tex]
C.
[tex]f(x) = \frac{12}{x} - 18 \: and \: g(x) = \frac{12}{x + 18} [/tex]
D.
[tex]f(x) = {6x}^{3} - 7 \: and \: g(x) = \frac{ {x}^{3} + 7}{6} [/tex]

answer: C.

Answers

Answer 1
The answer is c hopefully it helps

Related Questions

help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Plug in, combine, solve.

[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]

Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totaled $11.65. Write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, Layla had in her change jar.

Answers

Answer:

d + n = 147

0.10d + 0.05n = 11.65

d = 86, n = 61

Step-by-step explanation:

Let

Number of dimes = d

Number of nickels = n

Total coins = 147

Total value = $11.65

d + n = 147 (1)

0.10d + 0.05n = 11.65 (2)

From (1)

d = 147 - n

Substitute d = 147 - n into

0.10d + 0.05n = 11.65

0.10(147 - n) + 0.05n = 11.65

14.7 - 0.10n + 0.05n = 11.65

- 0.10n + 0.05n = 11.65 - 14.7

-0.05n = -3.05

n = -3.05 / -0.05

= 61

n = 61

Substitute n = 61 into

d + n = 147

d + 61 = 147

d = 147 - 61

d = 86

Which part of this graph shows a nonlinear relationship?

A. 4
B. 2
C. 3
D. 1

Answers

Answer:

D.1

Step-by-step explanation:

It's the only line with a curve.

PLEASEE answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4 boys and 5 girls ratio (4:5)

4:5 ratio

hope this helps

I need help on this please

Answers

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Since these equations are consecutive interior angles, they will add up to 180.
The equation will be (x+20)°+(4x-5)°=180.

(x+20)+(4x-5)=180
5x+15=180
5x=165
165/5x
=33°

You can make sure your answer is correct by putting your x back into the equation.
(33+20)+(4•33-5)
53+132-5
53+127
180

Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1

Answers

Answer:

a) 5x=8 use a calculator and use distributive property

b) 22=3x+5 -18

22=3x-13

9=3x

x=3

distributive property

c)-48= -8x-20+5x-1

-48= -3x-21

-27= -3x

x=7

distributive property

Step-by-step explanation:

PLS HELP WILL GIVE BRANLIEST

Answers

I think it is b but not for sure

The sum of two numbers is 59 and the difference is 21. What are the numbers?
Larger number:
Smaller number: 0
2.

Answers

Answer:   The larger number is 40.

The smaller number is 19

Step-by-step explanation:

x + (x-21) = 59   This is the number and the  number difference add to 59.

x + x = 59 + 21    Add 21 to both sides. Combine like terms.

2x = 80  divide both sides by 2

x= 40 This is the first number.  Subtract 21 to get the second number

40 - 21 = 19

The difference between 40 and 19 is 21.

19 + 40 = 59

______________________

Not sure why this is in the question "Smaller number: 0

2.

a class of 40 students elected a class president there were 12 votes for candidate a and 18 votes for candidate b the remaining students in the class did not vote which expression gives the percent of Voters who voted for candidate a ​

Answers

Answer:

10

Step-by-step explanation:

18 + 12 = 30 so it 40 student so it is 10 .

Answer:

12/12 + 18 = 100

Step-by-step explanation:

Use calculator

the area of a rectangular concrete patio is 70 square meters the perimeter is 34 meters what are the dimensions of the patio

Answers

Answer:

7 and 10

I hope this is correct and helps.

Answer:

7 and 10 because

perimeter you add all sides together like :

7 +7 +10 +10

14+20

34 (which checks out)

and then for area you multiply length and width and 7 x 10= 70 which checks out

Step-by-step explanation:

Claire buys an item with a normal price of $24 but save six dollars by using a coupon what percentage off is this coupon

Answers

Answer:

[tex]\huge\boxed{\sf 25 \% \ off}[/tex]

Step-by-step explanation:

Normal Price = $ 24

Saved = $ 6

Discount %age:

[tex]\sf \frac{6}{24} * 100 \%\\\\\frac{1}{4} * 100\%\\\\= 25 \%[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

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I don't understand this either what's this

Answers

Answer:

It's called a transversal lol

Step-by-step explanation:

I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol

Pls mark Brainliest.

Enter the value of arccos(0.21) as a decimal to the nearest hundredth of a degree in the box.

Answers

Answer:

77.88

Step-by-step explanation:

just did the test!

The solution is 77.88°

The value of arc cos ( 0.21 ) is 77.88°

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as A

Now , the value of A is

A = arc cos ( 0.21 )

The value of arc cos ( 0.21 ) = 1.35922137 rad

The value of 1 rad = ( 180°/π ) degrees

So , 1.35922137 rad = 1.35922137 ( 180°/π ) degrees

On simplifying the equation , we get

The value of arc cos ( 0.21 ) = 77.8776478 degrees

Rounding to the nearest hundredth , we get

The value of arc cos ( 0.21 ) = 77.88 degrees

Hence , the measure of arc cos ( 0.21 ) is 77.88°

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please answer and fast​

Answers

Answer:

D

Step-by-step explanation:

megan solved the following exponential equation for x. what did she do wrong​

Answers

Answer:

take a better photo this is blurry

Step-by-step explanation:

Which of the following tables represents a function

Answers

The second one I did this before

5. Which graph shows a line with the same y-intercept as the graph of 10x-16y=-40?

Answers

Answer: B

Step-by-step explanation:

Option A is correct by observation we can see when (x,y) = (0,5/2) it satisfies the given equation 10x - 16y = -40

What is a linear equation in two variables ?

A linear equation in two variable is an alzebraic equation which has highest degree of 1 and contains two variables.

A linear equation in two variables infinite number of solution for each value of x there is a corresponding y value.

In the given question when value of x is 0 the corresponding value of y is 2 and half.The equation of the graph 10x - 16y = -40 satisfies the given values.

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Pls help
A.
B.
C.
D.

Answers

Answer:

The answer is A so put it

The answer is A :) hope this helps

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

Answers

Answer:

7.8

Step-by-step explanation:

A line of the equation has a slope of a/b, where a and b are integers.

What is the slope of the line that is perpendicular to this line?

Answers

Answer:

-b/a

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

slope of line = a/b

slope of perpendicular = -b/a

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

Learn more about volume

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What is the slope of the line y= -121x + 200 ??

Answers

Answer:

Slope = - 121

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

m = Slope      

Step 3:

y = - 121x + 200        Equation

Answer:

Slope = - 121

Hope This Helps :)

Answer:

-121X

Step-by-step explanation:

In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x

I hope this helps! :)

Which matrix equation represents this linear system?
2x-5y=-7
4x+3y=-1

Answers

Answer: C

Step-by-step explanation: I just took the exam

need help asap
please

Answers

10a + 2 + 5a - 2 = 180
15a = 180
/15 /15
a = 12


10(12) + 2
120 + 2
122


MAngle XYQ = 122°

Not sure how to do this one? It's geometry.​

Answers

Answer:

x = 20

Step-by-step explanation:

These two angles are corresponding angles which means that they sum to 180. You can formulate an equation by writing it as, 3x - 10 + 5x + 30 = 180. Once you simplify it, you end up with 8x = 160 which equals 20. Hope this helps.

Which of the following shows the lengths of the sides of a right triangle?

A. 2, 3, 4

B. 5, 7, 11

C. 6, 8, 10

D. 8, 12, 15

Answers

Answer:

C

Step-by-step explanation:

use the formula a²+b²=c²

how to solve using Substitution or Elimination?
y=3x-1

y=2x+2

Answers

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

So, the solution is  x = 1  and  y = 4   {or: (1, 4)}


Find the circumference of a circle with a diameter of 20 centimeters. Round your answer to the nearest centimeter.
6 centimeters
126 centimeters
31 centimeters
0 63 centimeters

Answers

Answer:

63 centimeters

Step-by-step explanation:

What we know:

A cricle has a diameter of 20 cm.

To find circumference, use πd or 2πr.

3.14(10 * 2)

3.14(20)

62.8 cm, which rounds to 63 cm.

Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?

Answers

ABCD describes a rhombus.
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