Which represents the inverse of the function f(x)=4x?

Which Represents The Inverse Of The Function F(x)=4x?

Answers

Answer 1

Answer:

[tex]h(x) = \frac{1}{4}x[/tex]

Step-by-step explanation:

Suppose h is the inverse of f then

f(x) = y ⇔ h(y) = x

f(x) = y ⇔ 4x = y ⇔ x = y/4

and since x = h(y) then h(y) = y/4

then we can write :

[tex]h(x) = \frac{x}{4}[/tex]

______________________

:)


Related Questions

Jack has 20 unit cubes. How many rectangular prisms with different sized bases can he build with the cubes?

Answers

Answer:

Jack can form four rectangular prisms with 20 unit cubes.

Step-by-step explanation:

Number of unit cubes Jack has = 20

Factors of 20 = 1, 2, 4, 5, 10, 20

The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,

1 × 1 × 20 (One cube at the base)

1 × 2 × 10 (2 cubes at the base)

1 × 4 × 5 (4 cubes at base in a single row)

2 × 2 × 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)

Therefore, Jack can form four rectangular prisms with 20 unit cubes.

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?

Answers

Answer:

4

Step-by-step explanation:

3,186/22= 144

144/36= 4

PLEASE HELP! Drag each tile to the correct box.

The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.

Answers

Answer:

the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Step-by-step explanation:

The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t

when the object reach the ground then s(t) = 0

So;  -4.9t² +7.8t = 0

-4.9t² +7.8t + 0 = 0

By using the quadratic equation

[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]

where; a = -4.9 ; b = 7.8 and c = 0

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]

[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]

Hence;  the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

2 2/3 Divided by 1/4
Find the quotient simplify if possible

Answers

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Hey there!

The simplified version of this expression is 32/3.

Hope this helps !

Math question down below

Answers

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

----------------------------------

(n) 604 - 79 = 525

D.) is your answer :)

Luke has 1/5 of a package of dried apricots. He divides the dried apricots equally into 5 small bags. Luke gives one of the bags to a friend and keeps the other four bags for himself.

What fraction of the original package of dried apricots did Luke keep for himself?

Answers

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

What is the area of this face?
100 in2
40 in2
52 in2
28 in2

Answers

Answer:

[tex]28in^2[/tex]

Step-by-step explanation:

Split it up.

3 rectangles.

You have two congruent ones, whose area is 2 * 4 = 8 and their total is 16

Then you have another one whose area is 6 * 2 = 12

16 + 12 = 28

The area of the face is 28 in2

please help me, i wanna to move one to the next grade, 10 points

Answers

Answer:

D

Step-by-step explanation:

All the other answers are above $50 while D gives you $49.75.

Good luck!

Answer:

the answer is D

Step-by-step explanation:

because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit

What is the product of the binomials

Answers

Answer:

(x-9)(x+2) = x^2 + 2x -9x -18  = x^2 -7x -18

Answer is B

Step-by-step explanation:

The answer is B. -18

Tiffany answered 90% of the questions on her math test correctly.
There were 50 questions on the test. How many questions did Tiffany answer correctly:

I NEED TO SHOW MY WORKKK, thank you :))

Answers

50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

A triangle has side lengths 4 cm, 4 cm, and 7.5 cm. The angle measures are 20°, 20°, and 140°. What type of triangle is this triangle? acute isosceles acute scalene obtuse scalene obtuse isosceles

Answers

Because two side lengths are identical it is an isosceles triangle and also at least one angle is less than 90 degrees so the answer would be an acute isosceles triangle.

Answer:

acute isosceles.

Step-by-step explanation:

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

what kind of polynomial is 2x^4-4x^2

Answers

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

What is a less than 16

Answers

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

Answer:

(x + 4)(x + 5)

Step-by-step explanation:

If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x

The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder

Answers

The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?

3(40) ft³

3(1/40) ft³

1/3(40)ft³

1/3(40²) ft³

Answer:

The expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

Step-by-step explanation:

To find the expression that represents  the volume of a cone with the same height and base as the cylinder, we will follow the steps below:

First write down the formula for calculating volume of a cone   and volume of a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr²h

volume of a cylinder = πr²h

If the base are the same, this implies they have the same radius,  and from the question, it states that they have the same height, hence;

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

from the question, the volume of the cylinder is 40 ft³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              = [tex]\frac{1}{3}[/tex] (40) ft³

volume of a cone =  [tex]\frac{1}{3}[/tex] (40) ft³

Therefore the expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

A powerful computer is purchased for $2000, but loses 20% of its value each year.

Answers

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? (please help I might fail Math.)

Answers

Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

How do you write 3.0 × 10^2 in standard form?

Answers

Answer:

300

Step-by-step explanation:

First you would find 10^2, which is 100. Then you just multiply 100 by 3.0 and get 300 :)

Answer:

To write in standard form, we have to move the decimal point in 3.14 over 2 places to the left since our exponent is −2. This gives us our answer of 0.0314.

I might be wrong.

someone please help me haha

Answers

Step-by-step explanation:

6(2x^2 - x - 28)

6(2x + 7)(x - 4)

Subtract.

(5x-1)-(3xy+c)

Answers

Answer:

5 x − 1 − 3 x y − c

The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

The given expression is (5x-1)-(3xy+c)

The subtraction between them is

5x - 1 - 3xy - c

Thus, the subtraction would be 5x - 1 - 3xy - c.

Learn more about linear equations;

https://brainly.com/question/11897796

The line plot below shows the number of kilometers Carson biked each day for 14 days. Does one measure describe the data better than the other? Explain

Answers

Answer:

It depends on the description you want to make. If you want to describe how separate is the data, then you would use a variation measure like a standard deviation which will compare each data with the mean.

On the other hand, if you want to measure how close the data is, then you would use central measures, like the mean or median, that will tell you the central value the whole data is pointing to.

Therefore, there's no bettter measures, it always depends on what aspect you want to highlight about the data set.

PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8

Answers

Answer:

It should be A

Step-by-step explanation:

multiply the - by 7/8 to get -7/8

Answer:A

Step-by-step explanation:

What is the area of this figure

180 square inches

190 square inches

45 square inches

96 square inches

Answers

Answer 190 square inches

Step-by-step explanation:

If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.

Answer:

190 square inches.

Step-by-step explanation:

here is my work to follow to figure out a problem like this.

How many 9’s are there between 1 and a 100?

Answers

Answer:

20

Step-by-step explanation:

There’s 11 “9’s” between 2 and 100!

please respond with the format showed on the picture so use . after the letter and display the answer (summarized: answer with one of the answers on the picture

Answers

Answer:

B. 19

Step-by-step explanation:

35-16=19

Sarah and gabriela are at a soccer camp . The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice . How many soccer practices can the coach have?

Answers

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

8/1 / 2/3 kcf8/1 x 3/2= 24/224 divided by 2 = 12

can someone explain the Pythagorean Theorem to me​

Answers

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4

Answers

Answer:

y ≤1

Step-by-step explanation:

The range is the output values

It has a max at 1 and can be any value below 1

y ≤1

Answer:

f(x) < 1

Step-by-step explanation:

Max y value on the graph is y = 1, hence the range is f(x)《 1

From the given options,

f(x) < 1

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