Which function is the inverse of fix) = V5767O A.(-40) =3622 + 2. for = > 0O B.1-1(0) =652 + 2, for = ≥ 0O C.+ 2. for I > 0O D.f-11) = 6522. for r > 0

Which Function Is The Inverse Of Fix) = V5767O A.(-40) =3622 + 2. For = > 0O B.1-1(0) =652 + 2, For

Answers

Answer 1

Given:

The function is

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]

Required:

Find the inverse of the function.

Explanation:

The given function is:

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]

Put

[tex]f(x)=y[/tex][tex]y=\frac{\sqrt{x-2}}{6}[/tex]

Interchange x and y.

[tex]x=\frac{\sqrt{y-2}}{6}[/tex]

Take the square on both sides.

[tex]x^2=\frac{y-2}{36}[/tex][tex]\begin{gathered} 36x^2=y-2 \\ y=36x^2+2 \end{gathered}[/tex]

Substitute

[tex]y=f^{-1}(x)[/tex][tex]f^{-1}(x)=36x^2+2[/tex]

Final Answer:

Option A is the correct answer.


Related Questions

rectangle perimeter ; 36 unitswidth; xlength ; 4x - 2solve for x

Answers

Perimeter = 36 units

width = x

length = 4x - 2

Equation of perimeter = 2width + 2length

Substitution

36 = 2(x) + 2(4x - 2)

Expanding

36 = 2x + 8x - 4

36 = 10x - 4

36 + 4 = 10x

40 = 10x

x = 40/10

x = 4

An aeroplane flies between two cities that are 8100 km apart.
The aeroplane takes 9 hours to complete the journey.
Calculate the average speed of the aeroplane, in km/h.

Answers

Answer:

7,290,000.answer

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 minute

8100 km = 810000 m

9 hour=540 minute

60/540.00 cancel

6/54 will be than cut 6×9=54

SO,multiply 810000×9 = 7,290,000

Answer:

The answer is 7,290,00

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 min

8100 km = 810000 m

9 hour=540 min

60/540.00 cancel

6/54 will be than cut 6×9=54

so ,multiply 810000×9 = 7,290,000

Is -7. a rational number

Answers

A rational number can be represented by dividing two integers.

So, it can be represented as a ratio of 2 integers.

-7 = -7/1

-7 is a rational number

Answer: -7 is a rational number

There are 6 roses in a vase of 14 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies?

Answers

Given:

There are 6 roses in a vase of 14 flowers.

Required:

To find the ratio of all flowers in the vase to daisies.

Explanation:

The total number of daisies in the vase are

[tex]\begin{gathered} =14-6 \\ =8 \end{gathered}[/tex]

So the ratio of all flowers in the vase to daisies is,

[tex]14:8[/tex][tex]7:4[/tex]

Final Answer:

[tex]7:4[/tex]

a bucket contains 15 blue pens 35 black pins and 40 Red Pins. You pick one pin at random find the theoretical probabilities below . Express your answer as a percent to the nearest whole number p(black)=???p(blue or black)=???

Answers

The number of blue pen is 15

The number of black pens is 35

The number of red pens is 40

The total number of pens in the bucket = Blue pens + black pens + red pens

The total number of pens = 15 + 35 + 40

= 90

Therefore, the total number of pens in the bucket = 90 pens

The probability that black pen is picked is

Probablity = possible outcomes/ total outcomes

P(black) = 35 / 90 x 100%

P(black) = 0.3888 x 100%

P(black) = 38.88%

P(black) = 39%

P(blue or black)

If its pick at random without replacement then

If the first pick is blue, then the total number of pen in the bucket remains 89

For the first pick will be 15/90

Since the remaining pens is 89, then the second pick is

35/89

Then we have

15/90 + 35/89

LCM is 8010

8010 x 15 / 90 + 35 x 8010 /89 / 8010

89 x 15 + 35 x 90 / 8010

P(blue / black) = 1335 + 3150 / 8010

P(blue or black) = 4485 / 8010

P(blue or black) = 0.559 x 100%

P(blue or black) = 55.9%

P(blue or black) = 56%

jsjsjjs i just came home and ate a little poop and p to be on my way to work so we will have a great time together for you all the day and enjoy the rest of the week we are together and

help l need help with this

Answers

Answer:

Step-by-step explanation:

Answer:  Y = 3x + 3

Simply plug in points on graph calculator.

Answer:

Step-by-step explanation:

I think it might be y=3/1+6 ??? i might be wrong

rewrite 13% into equivalent fraction

Answers

The number 13% as an equivalent fraction is 13/100

How to rewrite the percentage into equivalent fraction?

From the question, the given parameter is

13%

This above number is a percentage or percentile

So, we have

Percentage = 13%

Next, we multiply the percentage by 1

So, we have

Percentage = 13% x 1

Express 1 as 100/100

So, we have

Percentage = 13% x 100/100

Evaluate the product of 13% and 100

So, we have

Percentage = 13/100

Rewrite as

Fraction = 13/100

The fraction cannot be further simplified

Hence, the equivalent fraction of 13% is 13/100

Read more about percentages at

https://brainly.com/question/843074

#SPJ1

If a Ferrari, with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes, what will its final velocity be (in km/h)?

Answers

The final velocity of the Ferrari will be 84.53 km/h. with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes.

This is a typical question from Newtonian mechanics. To solve this problem we have to convert all the given data into a standard unit like C.G.S.

Now, we will convert 10 km/h and 50 km/h by using the formula. (km/h × 5/18 = m/s )

10 km/h = 10× 5/18 = 2.78 m/s

50 km/h = 50× 5/18 = 13.89 m/sec/min = 0.23 m/s²

3 min = 3 × 60 = 180 sec. ( 1 min = 60 sec )

Now, we have to use the formula from Newton's law of motion,

v = u + at/2 .

Here, u is the initial velocity which is 2.78 m/s.a is the acceleration which is 0.23 m/s²t is the period which is 180 sec. v is the final velocity.

Now we can calculate the final velocity,

v = 2.78 + (0.23 × 180)/2 = 2.78 + 20.7 = 23.48 m/s

Now, we have to calculate the velocity in km/h, which is (23.48 × 5 )/8 = 84.53 km/h. as we know (km/h = m/s ×18/5 ).

Therefore, the final velocity will be 23.48 m/s according to the given inputs and criteria.

To know more about Newtonian mechanics visit,

https://brainly.com/question/13195233?referrer=searchResults

#SPJ9

what are the correct answers for each blank using the dropbox's provided for each blank?Dropbox 1: Congruent, Similar, Not congruent or similarDropbox 2: Proportional, Not proportional, CongruentDropbox 3: Proportional Not proportional, Congruent

Answers

The pair of triangles shown are similar because the sides are proportional and corresponding angles are congruent.

A store generates Monday through Thursday sales of $150, $125, $75, and $180. What sales on Friday would give a weekday average of $150?

Answers

Answer:

mi cola es grande

Step-by-step explanation:

uhh

Use the Multiplication Property of One to rewrite the statement.8+1=x1) = 0

Answers

We need to isolate on the equation

[tex]8+(z\times1)=0[/tex]

since any number multiplied by one is the same, then z times 1 is z, so we can write

[tex]8+z=0[/tex]

Now, we can add -8 to both side and get

[tex]8-8+z=-8[/tex]

since 8 - 8 is zero, we have

[tex]z=-8[/tex]

then, z is equal to -8.

Two standard 6-
sided dice are
rolled. How would
you describe the
following events
of having their
sum be EVEN OR
GREATER THAN 9?

Answers

The probability of having an even or a number greater than 9 is 2/3.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The sample space of two 6-sided dice would be 36

Of this 36, there would be 18 which would have an even sum.

There would be 6 with a sum greater than 9.

The probability of having an even or a number greater than 9 = (18/36) + (6/36) = 24 / 36 = 2/3

Please find attached an image of the sample space used in answering this question. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

  5/9

Step-by-step explanation:

You want the probability that a roll of 2 dice will produce a sum that is even or greater than 9.

Even

Half the numbers on each die are even. Their sum will be even when the dice show ...

  even + even . . . . p = (1/2)(1/2) = 1/4

  odd + odd . . . . . . p = (1/2)(1/2) = 1/4

So, the 36 possible outcomes will produce an even sum (1/4) +(1/4) = 1/2 of the time. That is, there are 1/2(36) = 18 outcomes with an even sum.

Greater than 9

The sums that are greater than 9 are 10, 11, 12. Of these, 10 and 12 are outcomes that are even, so are already counted.

The sum 11 can be made two ways: 6 +5 or 5 +6.

So, "or greater than 9" adds 2 outcomes to the 18 we have already counted.

Final tally

The final tally of outcomes of interest is ...

  18 + 2 = 20 . . . . of 36 possible outcomes

That is ...

  P(even or >9) = 20/36 = 5/9

<95141404393>

Molly has 250 trading cards. She gives n trading cards to her friend Carol. Marcus has 430 trading cards. He gives away three times as many cards as Molly does. How many trading cards did Molly give away if Molly and Marcus have the same number of trading cards left?

Answers

Molly gave away 90 trading cards out of 250 trading cards to her friend Carol.

Initially molly had 250 cards.

She gave away n trading cards to her friend.

Now molly has (250 - n) trading cards.

Initially Marcus had 4430 trading cards.

The number of cards that Marcus gave away is is three times of molly.

Cards gave away by Marcus = 3n

Now, Marcus is left out with (430 - 3n) trading cards/

After giving away the cards,

Molly and Marcus had same number of trading cards.

So, we can write,

250-n = 430-3n

Now, we have a linear relation between the number of cards given away and the remaining cards,

Further solving,

2n = 180

n = 90.

So, Molly gave away 90 cards.

To know more about Linear relations, visit,

https://brainly.com/question/13828699

#SPJ1

Given the replacement set: {−9, −10, −11, −12}.

Which value of x correctly solves this equation?

3.2x−5=−40.2

Enter your answer in the box.

Answers

Answer:

  x = -11

Step-by-step explanation:

You want to know the value of x that correctly solves the equation 3.2x -5 = -40.2.

Solution

This 2-step linear equation is solved in the usual way:

Step 1: isolate the variable term

  3.2x -5 +5 = -40.2 +5 . . . . . . . . . add 5 to both sides

  3.2x = -35.2 . . . . . . . . . . . . . simplify

Step 2: isolate the variable

  3.2x/3.2 = -35.2/3.2 . . . . . . . . . . divide both sides by the coefficient of x

  x = -11 . . . . . . . . . . . . . . . . . . simplify

Ken exercise at a park first he run 3 miles in 30 minutes.Then he rests for 15 minutes.Then he runs 2 miles in 15 minutes.Finally he walks 1 mile in 15 minutes.Assume each running and walking segment was done at a constant rate.skecth a graph to represent ken's exercing at the park.the fisrt segment should begin at (0,0).

Answers

The horizontal axis represents the time in hours, and the vertical axis represents the number of miles ran.

So for the first part we have 3 miles in 30 minutes (0.5 hour), so we can draw a line from point (0, 0) to point (0.5, 3)

For the second part, he rests for 15 minutes (0.25 hour), so the y-value doesn't change, therefore we have a horizontal line from (0.5, 3) to (0.75, 3).

Then, we have 2 miles in 15 minutes, so we have a line from (0.75, 3) to (1, 5).

And finally, 1 mile in 15 minutes, so a line from (1, 5) to (1.25, 6).

Sketching the graph, we have:

A local hamburger shop sold a combined total of 598 hamburgers and cheeseburgers on Wednesday. There were 52 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answers

In the local hamburger shop the total number of hamburgers sold on Wednesday , based on the given data is :

325 hamburgers.

Explanation:

A General Rule for Equation Solving

Remove parentheses and combine like terms to simplify each side of the equation.To isolate the variable term on one side of the equation, use addition or subtraction.To find the variable, use multiplication or division.

here form a equation based on given data ;

let ,  Hamburgers be = x

let, Cheeseburgers be = y

here , No. of burgers (hamburgers and cheeseburgers )sold  = 598

here,

x + y = 598 =>(1)

y = x - 52  => (2)

solving 2 equations ,

x + ( x - 52 ) = 598

x + x - 52     = 598

2x = 598 + 52

x = 650 /2

x =  325

on Wednesday  325 hamburgers were sold.

To learn more about substitution refer to :

https://brainly.com/question/25869125

#SPJ13

718-119x+719 for x =0
please simplify and find the value

Answers

The answer would be 1437 due to the zero property. Therefore you only add the other two numbers.


Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation.
(-2, 3); y=-3/4x+4

Answers

Answer:

y=4/3x+17/3

Step-by-step explanation:

Perpendicular lines have reciprocal negative slopes, find the slope of the new line:

-3/4 --> m = 4/3

Write line in point slope form:

y-3 = 4/3(x+2)

Distribute:

y-3=4/3x+8/3

Simplify:

y=4/3x+17/3

Mental Math Using the slope formula, find the slope of the line through the points (0,0) and (3,6).Use pencil and paper. Explain how you can use mental math to find the slope of the line.

Answers

Given the points (0,0) and (3,6)

slope = y2 - y1 / x2 -x1

x1= 0, y1 = 0 , x2= 3, and y2 = 6

slope = 6 - 0 / 3 - 0

slope = 6 / 3

slope = 2

the answer is 2

find the perimeter of ABC with vertices A(-4,4), B(4,-1) and C(-4,-1)

Answers

Answer: A=-16  B=-5  C=-3

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(8x-18)°
40°
110°

Answers

The value of the variable x associated to the triangle is equal to 6.

What is the variable associated to internal angles of a triangle?

Triangles are figures with three sides and three internal angles. According to Euclidean geometry, the sum of the measures of the internal angles is equal to 180° and we must solve the following equation for x:

(8 · x - 18) + 40 + 110 = 180

(8 · x - 18) + 150 = 180

(8 · x - 18) = 30

8 · x = 48

x = 6

The triangle has internal angles of 30°, 40° and 110° and the value of variable x is 6.

To learn more on internal angles of triangles: https://brainly.com/question/19267367

#SPJ1

I'll give brainliest!

Answers

Answer:

The answer is A

Find the values of the variables so that the figure is aparallelogram.

Answers

Answer:

The image is given below as

From the image above, we can deduce that

[tex]\begin{gathered} \angle GEF=\angle DFE(altenate\text{ angles are equal)} \\ \angle GEF=64^0 \\ \text{hence,} \\ \angle DFE=64^0 \end{gathered}[/tex][tex]\begin{gathered} \angle GEF=\angle BGH(correspond\in g\text{ angles are equal)} \\ \angle GEF=64^0 \\ \text{Hence,} \\ \angle BGH=64^0 \end{gathered}[/tex][tex]\begin{gathered} \angle DFE+\angle HFE=180^0(\text{ linear pair sum up to give 180)} \\ \angle DFE=64^0 \\ \angle HFE=y \\ 64^0+y=180^0 \\ \text{collect similar terms, we will have} \\ y=180^0-64^0 \\ y=116^0 \end{gathered}[/tex]

From the image also, we will have that

[tex]\begin{gathered} \angle BGH=\angle FHG(alternate\text{ angles)} \\ \angle BGH=64^0 \\ \angle FHG=x \\ \text{hence,} \\ x=64^0 \end{gathered}[/tex]

Hence,

The value of x= 64°

The value of y = 116°

Hi I have tried calling but I can’t do anything

Answers

For the given functions, we will find the first derivative of each function

Note:

a, and b are constants

y, f, and g are functions

2) y = (a+bf)/g

We will use the quotient rule to find y' as follows:

[tex]y^{\prime}=\frac{g*b\frac{df}{dx}-(a+bf)\frac{dg}{dx}}{g^2}[/tex]

=============================================================

3) y = (x+f)/g

We will use the quotient rule to find y' as follows:

[tex]y^{\prime}=\frac{g(1+\frac{df}{dx})-(x+f)\frac{dg}{dx}}{g^2}[/tex]

==========================================================

4) y = (x+f)³

We will use the exponent rule to find the derivative as follows:

[tex]y^{\prime}=3(x+f)^2(1+\frac{df}{dx})[/tex]

===========================================================

5) y = ax² + bg² + f

so, y' will be as follows:

[tex]y^{\prime}=2ax+2bg\frac{dg}{dx}+\frac{df}{dx}[/tex]

==========================================================

Gabe has just moved to a new town and wants to share plates of baked goods with his neighbors. He has 16 cookies and 24 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates he can make to share?

Answers

The greatest number of plates he can make to share is 6.

What is the greatest number of plates he can make to share?

From the information, Gabe has just moved to a new town and wants to share plates of baked goods with his neighbors and he has 16 cookies and 24 brownies to share.

It should be noted that this illustrates that we have to find the highest common factor for 16 and 24.

This will be:

18 = 2, 3, 6, 9 and 18.

24 = 2, 3, 4, 6, 8, 12 and 24

The highest common factor is 6.

Therefore, the number will be 6 plates.

Learn more about factor on:

brainly.com/question/25829061

#SPJ1

7 is added to 11 divided by a number r write the algebraic expression

Answers

Answer: 7+(11/r)

Step-by-step explanation:

2. Multiply the matrices.

Answers

Result of matrix multiplication [tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] = \left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right] [/tex].

What is a matrix?

A matrix is a series of numbers forming a square or rectangle arranged in rows and columns enclosed in square brackets [ ] or regular brackets ( ).

Solution:

[tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] [/tex]

[tex] \left[ \begin{array}{cc} - 1 \times 2 + 2 \times 7 + 0 \times 1 & - 1 \times ( - 3) + 2 \times ( - 1) + 0 \times 2 \\3 \times 2 + ( - 2) \times 7 + 4 \times 1&3 \times ( - 3) + ( - 2) \times ( - 1) + 4 \times 2\\ - 5 \times 2 + ( - 1) \times 7 + 6 \times 1&( - 5) \times ( - 3) + ( - 1) \times ( - 1) + 6 \times 2 \end{array}\right ][/tex]

[tex]\left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right ][/tex]

ANSWERS ASAPP
i got a 57 in this class

Answers

Answer:

Y=-1/4x+-6

Step-by-step explanation:

convert the line to slope intercept form

x is the slope and the last thing is the y intercept

write an email as if
you wanted to set up
an interview with
someone

Answers

Answer:Dear Mikey,

I saw your progress on how to serve the best food and we wanted to see if you could help us or join our company if you want.

Call 923-456-2483

Sincerely Johns Bagel Company

Step-by-step explanation:

A car was valued at $41,000 in the year 1994. The value depreciated to $13,000 by the year 2004

Answers

[tex]\begin{gathered} a)\text{ 0.1085} \\ b)\text{ 10.85 \%} \\ c)\text{ \$7,300} \end{gathered}[/tex]

Firstly, we have to write the general depreciation fomula as follows;

[tex]V(t)=I(1-r)^t[/tex]

where V(t) represents the value of the commodity after a certain t years

I is the initial value of the item

r is the annual percentage change (rate of depreciation)

t is the number of years

a) Here, we want to calculate the annual rate of change

According to the data given in the question;

V(t) = $13,000

I = $41,000

r = ?

t = 2004-1994 = 10 years

Now, we proceed to substitute these values, to find the find of r as follows;

[tex]\begin{gathered} 13,000=41,000(1-r)^{10} \\ (1-r)^{10\text{ }}\text{ = }\frac{13,000}{41,000} \\ (1-r)^{10\text{ }}=\text{ }\frac{13}{41} \\ \\ (1-r)\text{ = }\sqrt[10]{\frac{13}{41}} \\ \\ 1-r\text{ = 0.8915} \\ r\text{ = 1-0.8915} \\ r\text{ = 0.1085} \end{gathered}[/tex]

b) To write r in percentage form, we have to multiply the answer in 'a' above by 100

We have this as ;

[tex]0.1085\times100\text{ = 10.85 \%}[/tex]

c) Here, we want to get the car value by year 2009

In that instance;

V(t) = ?

I = $41,000

r = 0.1085

t = 2009-1994 = 15

Substituting these values, we have;

[tex]\begin{gathered} V(15)=41,000(1-0.1085)^{15} \\ V(15)\text{ = \$7,321.56} \end{gathered}[/tex]

To the nearest 50 dollars, this is $7,300

Other Questions
expand and simplify 7(x-2)-2(x-3) a bus comes by every 14 minutes. the times from when a person arives at the busstop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible. soledad and winston are partners who share income in the ratio of 1:3 and have capital balances of $45,500 and $76,500 at the time they decide to terminate the partnership. after all noncash assets are sold and all liabilities are paid, there is a cash balance of $68,800. what amount of loss on realization should be allocated to winston? a.$53,200 b.$13,300 c.$39,900 d.$26,600 a proton with a speed of 3 x 105 m/s falls through a potential difference v and thereby increases its speed to 5 x 105 m/s. through what potential difference did the proton fall? Help with these 3 questions!!Brainliest/30pts Enter your healthy eating plan senator scott always held his political rallies at large stadiums because of the large, enthusiastic crowds that attended. as a result, he became overconfident about his chances of re-election. in this instance, the senator needs to be alerted to the value of in true experiments, is to dependent variable as is to independent variable. a. measuring; manipulating b. controlling; manipulating c. recording; measuring d. manipulating; measuring How did Oliver Cromwell's rule force the people of England to restore the monarchy? 1. Cromwell was corrupt, leading to people to want the monarchy to return 2. Cromwell's strict Puritan rules caused many people to dislike him 3. Cromwell prosecuted anyone who did not agree with his religious views 4. Numerous European monarchs attempted to kick Cromwell out of England how to simplify -7 ( 3x - 7y) ? Help me pls it would be nice thank youuuuu did the seventh man in the forty years when he lived in nagano province ever go visit his parents? 3(4v - 6) - 4( v + 6) simplify use distributive property Which equation has the same value as X 2/3(6x+12)=-24 If x and y are in direct proportion and y is 56 when x is 7, find y when x is 9 Allisons family spent $38.78 on school supplies. If Allison paid 1/4 of the bill, how much did she pay? Tai grows plants in a container called :terrarium, as shown below. He keeps theterrarium on a sunny windowsill.The terrarium is closed, so Tai cannot add water tothe plants. However, the plants have enough waterto grow. Which of these statements best explainswhy the plants always have enough water?A. The air cannot hold all of the water vapor.B. Water is unable to evaporate from the soil.C. The plants take upwater and store it in theirstems and leaves.Energy from the sun cycles water through thsoil, the plants, and the air. (n) compares the cost of purchasing a given market basket in a given year, where that cost is normalized so that it is equal to 100 in the selected base year. please choose the correct answer from the following choices, and then select the submit answer button. answer choices In September, Liberty Elementary School collected 32,537 cans for a fundraiser. In October, they collected 207,492 cans.a. About how many cans were collected during September and October? Round to the nearest thousand.b. Which of these estimates will produce a more accurate answer rounding to the nearest thousand or rounding to the nearest ten thousand? . autopsy lists the fourth partition as an ntfs file system/exfat file system; however, we know this partition is encrypted. what is autopsy utilizing in order to determine what type of file system is in the fourth partition?