6) Which variable equals 55?

7) Which variable equals 101?

By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

The inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.

To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".

Being f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:

f(y)=x=4y

Isolating the variable y, you get:

h(x)=x÷4= [tex]\frac{1}{4}[/tex]x

Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

Learn more about the inverse of a function:

https://brainly.com/question/13799722

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]

[tex] {6}^{11} \times {6}^{ - 5} = [/tex]

[tex] {6}^{11 - 5} = [/tex]

[tex] {6}^{6} [/tex]

Thus ;

[tex] {6}^{[6]} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

it's the first option

Step-by-step explanation:

Answer: I believe it would be 8.

Step-by-step explanation:

Answer:

267000 is the answer

Step-by-step explanation:

Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

Answer:

A. 12

Step-by-step explanation:

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

100 - 49

=51

Answer:

10

Step-by-step explanation:

The . 8 would round up making the 9 a 10

So the answer is ten

Answer:how many total ounces are in this container?

Step-by-step explanation:

Answer:

domain is all the values that go into a function, and the range is all the values that come out.

Answer:

Domain: -6 <= x <= 3 and Range -9 <= y <= 5

Step-by-step explanation:

Domain is x

Range is y

(x, y)

The smallest x is -6

The largest x is 3

The smallest y is -9

The largest y is 5

Answer:

Opposite sides are congruent

Step-by-step explanation:

First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.

Sorry if its wordy I hope this helps : )

Answer:

Step-by-step explanation:

L'= 3, -3             M'= -3, -6          N'= -3, 3

Answer:

The answer is 86.08, hope this helps.

Step-by-step explanation:

Answer:

$86.08

Step-by-step explanation:

If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.

$10.76 x 8= $86.08

Answer:

B. is your answer dear

Step-by-step explanation:

0.44*50+23

22+23 = 45

hope you got it.

Answer:

A speed skater travels 12.5 meters per second

A cheetah travels 26 meters per second

Step-by-step explanation:

To find their speeds, divide the number of meters by the number of seconds:

Speed skater:

500/40

= 12.5 meters per second

Cheetah:

260/10

= 26 meters per second

So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.

An exterior angle equals the sun of the two opposite inside angles:

5x = 120 + x

Subtract 1 x from both sides:

4x = 120

Divide both sides by 4:

X = 30

The answer is D. 30

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

20 girls.

Step-by-step explanation:

40% * 50

= 20

Hope this helped!

Answer:

what is you exact question?

Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out

Step-by-step explanation:

Answer:

you have to use ads wich is stupid

Step-by-step explanation:

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

Answer: = 4x² - x - 3

(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3

Step-by-step explanation:

Answer:

B ≥ 209

Step-by-step explanation:

This is the equation - 25b + 525 ≥ 5750  .      

Comment if I solved it incorrectly ;-;  

Answer:

[tex]2.89\ \text{s}[/tex]

0.11 seconds

[tex]37.4\ \text{m}[/tex]

Step-by-step explanation:

[tex]t_1[/tex] = Time taken by the pebble to hit the water

[tex]t_2[/tex] = Time taken by the sound to travel to the observer

[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s

[tex]t_1=3-t_2[/tex]

a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

[tex]u_s[/tex] = Speed of sound = 340 m/s

The distance traveled by the pebble

[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]

Distance traveled by the sound

[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]

The distance traveled by the sound and the pebble is equal

[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]

Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.

So, time taken by the sound to reach the observer is 0.11 seconds.

Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]

Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]

Answer:

It is same.

The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

Since it is not an equation you would combine like terms and the answer would be 3x + (-24)

Step-by-step explanation:

There is no answer technically, you're just simplifying

Answer:

Step-by-step explanation:

you can't solve you don't know what X is so x+ 2x + (-24) is the answer

Answer:

What is the length of the BC line? It is not clear in the figure

Answer:

x=1

Step-by-step explanation:

as the two triangles are similar

So the equation is

5+x/12=5/10

50+10x=60

10x=60-50

10x=10

x=10/10

therefore

x=1

Answer:

-5

Step-by-step explanation:

The slope is given by

m= ( y2-y1)/(x2-x1)

   = ( 0-10)/(2-0)

   = -10/2

  = -5