Inverse function of the function...? I’m slowly losing my mind...

Inverse Function Of The Function...? Im Slowly Losing My Mind...

Answers

Answer 1

Answer:

x^2 ÷4

Step-by-step explanation:

f(x) = ( 4x) ^1/2

y = (4x)^1/2

x = y^2 ÷ 4

then, inverse fun. is x^2 ÷ 4

Answer 2

Answer:

x^{2} /4

Step-by-step explanation:

Rewrite f(x)= as y=:

y= \sqrt{4x}

Then swap x and y

x= \sqrt{4y}

x^{2} =4y

y=f^(-1)(x)= x^{2} /4


Related Questions

Find the value of x
A. 8
B. 12
C. 4
4. 16

Answers

9514 1404 393

Answer:

  C)  4

Step-by-step explanation:

We observe that the top segments are in the same 3:4 ratio as the bottom segments. This means they are the same lengths: 3x = 12, 4x = 16. Either of these equations tells us x = 4.

_____

Additional comment

In case you aren't convinced, you can solve this using the secant rule for segments and circles: the product of the lengths to the circle intercepts are the same for both secants.

  12(12 +16) = 3x(3x +4x)

  336 = 21x² . . . . . simplify

  16 = x² . . . . . . . . divide by 21

  4 = x . . . . . . . . . .positive square root



How many lines of symmetry does the
figure below appear to have?

Answers

Answer:

here is only one line of symmetry

Answer:

There are 3 lines of symmetry.

Step-by-step explanation:

There is one in the middle going vertically and horizontally, and there is one going diagonal.

Hope this helped!!

A pair of jeans cost $85 but are on sale for 45% off. What is the sale price?

Answers

Answer:

46.75 dollars

Step-by-step explanation:

If the jeans are on sale for 45% off, then they will cost 55% of the original price (100%-45%=55%).

Therefore, the sale price is:

85×55%

Change % into a decimal

= 85×0.55

= 46.75

Therefore, the sale price of the jeans is 46.75 dollars.

I hope this helps!

18. The smallest category of the number 12 is
(A) Whole number
B) Real number
(C) Natural number

Answers

Answer:

So, 0,1,2,3,….,10 are called whole numbers. So, 1 is the smallest natural number and 0 is the smallest whole number. But there is no largest whole number or natural number because each number has its successor.

The smallest whole number is 000

Step-by-step explanation:

ANSWER AND STEPS PLEASE

A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.

Which measurement is closest to the volume of the container in cubic feet?

Answer choices:

A. 15,307.55 ft3

B. 1,275.63 ft3

C. 5,102.52 ft3

D. 3,826.89 ft3

Answers

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

ok the diameter is 21 3/4ft i converted it to a decimal, 21.75ft so to get the radius i 21.75ft/2= 10.875ft

ok to continue

V=1/3(hπr²)

V=1/3(3.14*10.875ft)h

V=1/3(118.265625ft)

V=1/3(118.265625 ft)10.3ft

V=1275.62897 which rounded=1,275.63 ft3

Find the area of this circle. Use
3.14 for .
5 ft
The area of the circle is about it.
(Round to the nearest hundredth as needed.)

Answers

Step-by-step explanation:

If 5 was the radius, do 3.14 (5)^2 same thing as= 3.14 times 25

Which equals 78.5 (I rounded it also)

Let me know if it was correct!

Is this correct? Can someone please help me!!

Answers

Answer:

yes

Step-by-step explanation:

Negatives cannot be broken down and pie is 3.14 therfore the 2nd and 3rd are correct

HELP ASAPPPPPPPPPPP!!!

The legs of an isosceles right triangle are 3 feet long. How long is the hypotenuse?

Answers

Answer:

Step-by-step explanation:

Since its isosceles right triangle, then 2 sides are going to be the same. There are 2 legs that are in any triangle, they give us 1 leg so now we know what the other leg is. Now the formula for finding hypotenuse is a2+b2=c2.

[tex]3^{2}+3x^{2} =c^{2}[/tex]     3 squared is 9, so 9+9=18

now we have c but we arent done so now we find the square root, [tex]\sqrt{18}[/tex]. Which is [tex]3\sqrt{2}[/tex] or 4.24.

A polyhedron (not regular) has 10 vertices and 5 faces. How many edges does it have?

Answers

Answer:

13 edges

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2 ( F is faces, V is vertices and E is edges ) , then

5 + 10 - E = 2

15 - E = 2 ( subtract 2 from both sides )

13 - E = 0 ( add E to both sides )

13 = E

The polyhedron has 13 edges


Need answer ASAP or I will literally fail

Answers

Answer:

A=28.3

or you can write it as a fraction....

28.3/1-283/10-

Step-by-step explanation:

A=2(wl+hl+hw)=2·(1·4.05+2·4.05+2·1)≈28.3

Help! Quick! Find the area of the composite figure

Answers

Answer:

I think 180

Step-by-step explanation:

A= a+b/h = 10+20/2 = 60

A=bxh = 6x20 = 120

120+60

need help ASAP please​

Answers

Answer:

x = 5

Step-by-step explanation:

im too tired to explain just trust me

(5) + 2 = 7

2(5) + 3 = 13

13 * 7 = 91

Step-by-step explanation:

Given area = 91m²

length = 2x+3 m

breadth = x +2 m

we know,

Area = length x breadth

91 = (2x+3) x (x+2)

91 = 2x² + 4x + 3x + 6

91 = 2x² + 7x + 6

2x² + 7x - 85 = 0

(2x+17)(x−5)=0

2x+17=0 or x−5=0

x=−17/2 or x=5

4. 29 degrees, x , 12
Solve for x. Round to the nearest tenth

Answers

9514 1404 393

Answer:

  24.8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(29°) = 12/x . . . . . . . . . . . use given values

  x = 12/sin(29°) ≈ 24.752 . . .multiply by x/sin(29°)

  x ≈ 24.8

Which point would be reflected across the y-axis to (-3,-9)

A. (-3,9)
B. (3,-9)
C. (-9,3)
D. (9,-3)

Answers

Answer:

b

Step-by-step explanation:

when an reflected across the y axis only the x value changes and it changes negatively

The graph of an exponential function passes through the points (1,1/16) and (3,1/64) . Write an equation for the function in the form y=a*b^x

Answers

Answer:

y=3,1*64^1,1/16

Step-by-step explanation:

The exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

What is an exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the graph of an exponential function passes through the points (1,1/16) and (3,1/64).

The values of a and b will be calculated as,

1/16 = ab

1/64 = ab³

1/64 = ab x b²

1/64 = 1 / 16 x b²

b = 1 / 2

a = 1 / 8

The exponential equation will be written as,

[tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

Therefore, the exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

To know more about an exponential expression follow

https://brainly.com/question/12940982

#SPJ2

Find an equation for the nth term of the sequence.
-1, -4, -16, -64, ...

Answers

Answer:

An =4^(n-1)

Step-by-step explanation:

hello :

the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =4        A1 = 1

An =A1 × r^(n-1)

An =1 × 4^(n-1)=4^(n-1)

I need some help! i will try to give brainliest!!!

Answers

Answer:

its A because the Y intercept is at 3

4n^2 + 5n +3=0
Solve equation

Answers

Answer:

look at the attached image

Step-by-step explanation:

Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP

Answers

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

Step-by-step explanation:

The sum of two numbers is 17 and the quotient is 70

Answers

Answer:

The Sum of 2 Numbers is 17 & Their Product is 70. Find the Numbers -

Step-by-step explanation:

The Factors of 70 are - 1, 2, 5, 7, 10, 14, 35 & 70

Now, Find the two Factors, when added gives the Sum as 10 & the Product of Multiplication as 17 -

From the given Statement, we can see that when the Factors 7 & 10, when Added gives the Sum as 17 and Their Product as 70 *(7 + 10 = 17 ; 7 × 10 = 70)

Therefore, the two Numbers are 7 & 10

Tracy is filling the box with unit cubes that are 1 inch (in.) on each side. She will fill the box with cubes without any gaps or overlaps. What is the volume of the box

Answers

Answer:48

Step-by-step explanation:

pls help me in math pls the question : the time on this clock as minutes to?​

Answers

Answer:

22 minutes to 7

Step-by-step explanation:

short hand is near 7

Answer: 22 minutes to 7

Jewel buys a toy horse for $36. The store increases their purchases price by 10%. What is the sales price of the toy horse?

Answers

Answer:

Step-by-step explanation:

someone please help me on this

Answers

Answer:

12 ft

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 41.5°

Opposite = 8 ft

Length of handrail =?

We can obtain the length of the handrail by calculating the Hypothenus. This can be obtained as follow:

Angle θ = 41.5°

Opposite = 8 ft

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 41.5 = 8 / Hypothenus

0.6626 = 8 / Hypothenus

Cross multiply

0.6626 × Hypothenus = 8

Divide both side by 0.6626

Hypothenus = 8 / 0.6626

Hypothenus = 12 ft

Thus, the Lenght of the handrail is 12 ft

The average grade for an exam is 74, and the standard deviation is 7. The grades are curved to follow a normal distribution.
What is the probability that the grade of a randomly selected students score is more than 60?

Answers

Answer:

0.9772 = 97.72% probability that the grade of a randomly selected students score is more than 60.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average grade for an exam is 74, and the standard deviation is 7.

This means that [tex]\mu = 74, \sigma = 7[/tex]

What is the probability that the grade of a randomly selected students score is more than 60?

This is 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 74}{7}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that the grade of a randomly selected students score is more than 60.

The side lengths of a triangle are 6, 8, and a 10. Is this a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2 is for right triangle so

6^2+8^2=10^2

36+64=100

100=100

so it's a right triangle

Oliver had m dollars to spend on a backpack for the new school year. The expression below represents the amount of money he had remaining after purchasing the backpack.
m - (y + 0.07y)

If his total purchase included the backpack and tax, which statement best describes y?
A.
The amount of money he had to spend on the backpack.

B.
The amount of tax for the backpack.

C.
The price of the backpack, including tax.

D.
The price of the backpack, not including tax.

Answers

Answer:

Option A

Step-by-step explanation:

Y is the amount of back pack

The total amount is represented by m

If Y is the cost of back pack purchased by Oliver, then 0.7 Y is the tax applicable on the purchase of back pack

Hence, the remaining cost would be total amount with Oliver minus the cost of back pack and the tax applicable on the purchase of back pack

Remaining cost  = m - (y + 0.07y)

Hence, option A is correct

sixth graders have the choice between two end of year trips: going to the zoo or going to an amusement park. There are 264 scholars in the sixth grade. The number of scholars who chose to go to the amusement park is 140% of the number of scholars who chose to go to the zoo. How many scholars chose to go to the amusement park

Answers

Answer:

Step-by-step explanation:

154 scholars chose to go to the amusement park.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of scholars who chose to go to the amusement park and y represent the number of scholars who chose to go to the zoo.

scholars who chose to go to the amusement park is 140% of the number of scholars who chose to go to the zoo. Hence:

x = 140% of y = 1.4y

Also, There are 264 scholars in the sixth grade, hence:

x + y = 264

1.4y + y = 264

y = 110

x = 1.4(110) = 154

154 scholars chose to go to the amusement park.

Find out more on equation at: https://brainly.com/question/2972832

Can you help me. .................

Answers

Answer:

i think its c

Step-by-step explanation:

Find the value of x.
B.
X+2
3
E
Х
2
С
А
x = [?]

Answers

Answer:

The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola. Notice that the graph is symmetrical about the y- axis. The y- axis is called the axis of symmetry of this function

Other Questions
Hunger GamesHow might people behave if their government compels behavior that seems immoral or unjust?please help now PLEASE PLEASE HELPtimed, 10 mins leftFind x. Find the measure of Arc PQ A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.NO LINKS Why did Europe sell Opium to the Chinese? does anyone have the plate boundaries and movement lab report? please and thank you! Beating and hanging someone was known as ______________ in the South in the post-Reconstruction period I, along with my friend, was granted land by James II, Duke of York, to start a new colony. Later, I was also given rights in the colony of Carolina. My friend sold his portion of our new colony, but I kept the eastern part. It, too, was sold to the Quakers after my death. Who was I? Which of the following best describes why tidal energy is considered a renewable energy resource? A. The Moon receives energy from the Sun, which is a renewable resource. B. Humans can create more tidal energy by setting up more tidal energy plants. C. Ocean water will never be exhausted. D. Tidal energy is replaced naturally by the Moon's gravity. Transverse wave is an example of mechanical wave which requires a medium Which statement BEST describes the movement of transverse waves with reference to the direction of its travel? to propagate. a. The individual particles mo ve in a circle. b. Th e individual particles move in an ellipse. c. The individual particles move parallel to the direction of ravel. d. The individual particles move perpendicular to the direction of travel. Carter is creating quilt pieces in the shape of a kite as shown below. One of the kite diagonals measures 6 inches, and the area of each piece must be between 20 and 25 square inches. which statements best describes the sun-moon-earth system during a neap-tide.A. The sun is between earth and moonB. The sun, the moon, and earth are in a straight line.C. The moon, the sun, and earth form a right angle D. Earth i between the sun and moon. In what language are most Indian literature and holy writings written? What occurs when air is subjected to less pressure? A. The air condenses. B. The air rises in temperature. C. The air expands. D. The air becomes compressed. The graph is the path Beth took on a walk.A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters. Help me please and thank you :)what were the working conditions of enslaved people on plantations? What is required by this statement in the Paris Peace Accords? The rights of Vietnam and its people must be respected. Other nations are not expected to respect the rights of Vietnam and its people. Vietnam does not have rights after a time of war. Vietnam is a nation that must exist in isolation from other countries. What is the quotient when 2x^3-1 is divided by x - 1? X 6.4.5-TQuAssume that females have puhe rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of a 12.5beato per minuto Complete parts (a) through (c) belowatt hittemate is randamg selected to the probability that her pulse rate is less than 79 beats per minuteThe pobavity(Round to four decimal places as needed) Write the equation of the circle that is tangent to the y-axis.Its center is at (-3,5).