assume f is a one to one function of f(x)= 4-6x find f^-1(-32)​

Answers

Answer 1

Answer:

f^-1(-32)=6

Step-by-step explanation:

Find the inverse of the function f(x)=4-6x:

f(x)=4-6x

y=4-6x

x=4-6y

x-4=-6y

(x-4)/-6=y

-1/6x+2/3=y

y=-1/6x+2/3

f^-1(x)=-1/6x+2/3

Plug in f^-1(-32) for f^-1(x) and simplify:

f^-1(-32)=-1/6(-32)+2/3

f^-1(-32)=16/3+2/3

f^-1(-32)=18/3

f^-1(-32)=6


Related Questions

for what value of x does g(x)=0

Answers

Answer:

That happens at x = 6. ....

30.16 = 17.56 + 5x what is x

Answers

Answer:

x = 2.52

feel free to hit the crown

Answer:

2.52

Step-by-step explanation:

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

I hope it helped :)

Simplify: (6-21i)-(1-7i)

Answers

Answer:

-14i + 5

Step-by-step explanation:

( 6 - 21i ) - ( 1 - 7i )

6 - 21i - 1 + 7i

-21i + 7i + 6 - 1

-14i + 5

Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?

Answers

Answer:

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

Step-by-step explanation:

m * p

(percentage in decimal form)

If a system of two linear equations has infinitely many solutions, which of the following statements describes the graph of the corresponding two lines in the Iy-plane?
A The lines are coinciding.
B The lines are intersecting at only one point.
c The lines are parallel.
The lines are perpendicular.

Answers

Answer:

A.

Step-by-step explanation:

The lines touch along every point so they are on top of each other.

The given system of equations represent two coinciding lines.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

A linear equation in two variables represent a straight line.

As system of equations in two variables can be represented as

a₁x + b₊y + c₁ = 0

a₂x + b₂y + c₂ = 0

When there are two such equations having infinite solutions the relation between the coefficients is given as,

a₁/a₂ = b₁/b₂ = c₁/c₂

It implies that there are infinite points common between them which is possible only when these two lines are coinciding.

Hence, the graph of corresponding two lines in the x- y plane represents coinciding lines.

To know more about system of equations click on,

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least to greatest -2/5, -2/3, -0.8, -3/4

Answers

Answer:

-0.8    -3/4    -2/3     -2/5

Step-by-step explanation:

Answer:

-3/4, -0.8, -2/3, -2/5

Step-by-step explanation:

9
Solve for x: 5x + 6 = 7
Correct Answer
SHOW HINT
Math

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

5(0.2)+6=7

plug in and multiply :)

Answer:

5x+6=7

or,5x=7-6

or,x=1/5

therefore,x=0.2

I hope this will help you

19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?

Answers

Answer:

20 1/4

Step-by-step explanation:

since 4 1/2 we need to change the  denominator  1/2 x 2 = 2/4 now multiply      

4 2/4 x 5 3/4 = 20 1/4

Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches

Answers

Given:

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width.

To find:

The area of the canvas.

Solution:

It is given that,

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width

So, the height of the canvas is:

[tex]h=49-3[/tex]

[tex]h=46[/tex]

We know that the shape of the canvas is a rectangle and the area of the rectangle is:

[tex]A=length\times width[/tex]

The two dimensions of the canvas are  46 inches and 49 inches. So, the area of the canvas is:

[tex]A=46\times 49[/tex]

[tex]A=2254[/tex]

Therefore, the area of the canvas is 2254 square inches.

Henry has 15 coins in his pocket. 10 of the coins are pennies, 5 of the coins are quarters. Henry pulls one coin from his pocket and, without replacing it, pulls another coin. What is the probability that he pulled two pennies from his pocket?

Answers

Answer:

The probility is hight .

Step-by-step explanation:

because there are more pennies then quarters so there's about a 85 to 75% chance

Please solve these, I thank you my friends
Write and solve an equation to find the value of x

Answers

Answer:

180 - (52 + 28) = x and then x = 100.

Step-by-step explanation:

A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.

The equation we used to find that is: 180 - (52 + 28) = x.

52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.

What percent of data is less than 20?

Answers

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.

Find the surface area of the prism 12in 7in 5in

Answers

Answer:

Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula

Step-by-step explanation:

Rewrite the function by completing the square.


g(x)=4x^2-16x+7


g(x)=___(x+___)^2+__

Answers

Answer:

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 4x^2 - 16x + 7[/tex]

Required

Complete the square

Rewrite so that [tex]x^2[/tex] has 1 coefficient

[tex]g(x) = 4(x^2 - 4x) + 7[/tex]

Take half of the coefficient of x

[tex]\frac{4}{2} = 2[/tex]

Square the result

[tex](\frac{4}{2})^2 = 2^2[/tex]

[tex](\frac{4}{2})^2 = 4[/tex]

Add and subtract the result in the bracket

[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]

Expand the bracket to remove -4

[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]

[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]

Expand the bracket

[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]

Factorize

[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]

Factor out x - 2

[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]

Express as square

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Select all expressions that are equivalent to −4(+2)−2+4

A) −6−4

B) −4+2−2+4

C) −10

D) −4−2−8+4

Answers

Not A = -10
Not B= -8
Not C= -10
I think D

I am not sure

DOES ANYONE KNOW WHAT THUS WOULD BE !!!?

Answers

Answer:

120cm^3

Step-by-step explanation:

With the radius of 6, multiply 6 by itself to square it.

36

Then multiply that by the height of 10

360

Lastly divide by 3

120cm

Answer:

120

Step-by-step explanation:

Which angles are supplementary angles?

Answers

Answer:

∠RSQ and ∠RSV are supplementary because they form a straight line

Step-by-step explanation:

∠RSQ and ∠WXV are congruent because they are alternate-exterior ∠'s

∠RSQ and ∠UVS are congruent because they are corresponding angles

∠RSQ and ∠TSV are congruent because they are vertical angles

DIG DEEPER You and
a friend start riding bikes toward each other from opposite ends of a 24-mile biking route. You ride 2 miles every 4 hour.
Your friend rides 7
miles per hour.
a. After how many hours do you meet?

Answers

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

My speed

Speed of my friend

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let  be the time taken to meet

So, we meet each other after 1.5 hours.

Distance traveled by me

Distance traveled by my friend

PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry

Answers

Answer:

A) -10 + (-10)

Step-by-step explanation:

Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C

Answers

Answer:

A - B - C

Step-by-step explanation:

Can someone help me

Answers

Answer:

Step-by-step explanation:

use the slope formula

Answer:

1) 3/2  2) 1  3)-5/3  4) 5/4  5) -5/9  6) 4/5  7) 8/5  8) 1/4  9) 1/2  10) 2/3  11) 0  12) -1/3  13) 1  14) -1

Step-by-step explanation:

Mrs. Lee uses 9 cups of water for every
2 cups of rice. How many cups of water
are needed for 5 cups of rice?

Answers

22.5 cups of water

First off, since we know that 9 cups of water is used for every 2 cups of rice. We can just double 9 to make 18, which would now count as 4 cups of rice.
Then you would half the 9 cups of water to find out how many cups of water is used for 1 cup of rice, which is 4.5.
Add them up you get 22.5

You and three of your friends buy tickets for a concert so that you sit together in the same row. Write an expression using factorials that could be used to find the probability that you will get the seat on the far left.

Answers

Answer:

[tex]Pr = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]n = 4[/tex]

Required

Probability that you seat on the far left

First, we calculate the total possible seat arrangements.

This is calculated using:

[tex]Total =n![/tex]

[tex]Total =4![/tex]

[tex]Total =4*3*2*1[/tex]

[tex]Total =24[/tex]

Next, the possible seat arrangements if you seat at the far left.

This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.

i.e.

[tex]You \to 1[/tex]

[tex]Friend\ 1,2,3 \to 3,2,1[/tex]

The number of arrangement is:

[tex]Arrangement = 1 * 3 *2 *1[/tex]

[tex]Arrangement = 6[/tex]

The required probability is:

[tex]Pr = \frac{Arrangement}{Total}[/tex]

[tex]Pr = \frac{6}{24}[/tex]

Simplify

[tex]Pr = \frac{1}{4}[/tex]

Please hurry! Giving branniest to correct answer! 6TH GRADE MATH!

Answers

Answer: A C D

Step-by-step explanation:

A. C. D. is the answers :)

Solve the inequality:
7x + 5 > 20 - 35

Answers

Answer:

x>-20/7

Step-by-step explanation:

Answer:

x > 2.8671

Step-by-step explanation:

Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))

Answers

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least

(2+3+4)x5 is false because the answer 45 which is the 3rd most   value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist pls

I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

BD is a diameter

Step-by-step explanation:

Stella rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that she will roll a number less than or equal to 5? \text{impossible}impossible \text{certain}certain \text{unlikely}unlikely \text{likely}likely

Answers

The probability of getting a number less than or equal to 5 is 5/6.

What is probability?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

Stella rolls a standard six-sided die, numbered from 1 to 6.

The sample space for rolling a single die = {1, 2, 3, 4, 5, 6}

⇒[tex]n(s)=6[/tex]

The event is getting a number less than or equal to 5.

E = { [tex]{1, 2, 3, 4, 5}[/tex] }

⇒[tex]n(e)=5[/tex]

Thus the probability of getting a number less than or equal to 5,

[tex]P(e) =\frac{n(e)}{n(s)}[/tex]

⇒[tex]P(e)=\frac{5}{6}[/tex]

Hence we can conclude that the probability of getting a number less than or equal to 5 is 5/6.

Learn more about probability here

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What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15​

Answers

Answer:

A) -15

Step-by-step explanation:

Answer:

A. - 15

Step-by-step explanation:

Got it right

According to a town's census a household's number of visits to a gas station has a mode of 3 visits per week. Jane surveys 20
homes in her neighborhood and finds the mode to be 6 visits. How can she get her survey statistics to more closely approximate
the population parameters?
A)
Choose some different houses to survey.
B)
Get a more random sample from the town.
C
Increase the number of houses that she surveys.
D)
Recalculate because she must have made a mistake.

Answers

Answer:B Get a more random person sample from the town

Step-by-step explanation:

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