What is the inverse of the function? *
f(x)=3x+1

Answers

Answer 1

Answer:

The inverse of f(x)=3x+1 is f(x)−1=13x−13

Step-by-step explanation:

Answer 2

Answer:

[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]

Step-by-step explanation:

Inverse means the opposite of the original function.


Related Questions

Explain how to use the distributive property to find an expression that is equivalent to 20+16.​

Answers

Step-by-step explanation:

distributive property is a*(b+c) = a*b + a*c

20+16 = 4* (5+4)

What is 1.6 + 4x > 14.

Answers

Answer:

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

Step-by-step explanation:

wilma buys a new game that is priced at 43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma's game is what percentage of the original price?

Answers

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:

c edg

Step-by-step explanation:

I need help please help me out .

Answers

21,540 multiply 359 times 60

Which expression is equivalent to |-5| + |-3|

Answers

Answer:

5+3

Step-by-step explanation:

5+3

Answer:

5+3=8

Step-by-step explanation:

Raise to the power: (–2abx)4

Answers

Answer:

(16a^4b^4x^4)

Step-by-step explanation:

A particle travels along the x axis such that it’s position at time t is given by the function x(t)=2t+t. What is the average speed of this particle over the interval 2

Answers

The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.

Given that,

A particle travels along the x-axis such that its position at time t is given by,

Function; [tex]\rm x(t)=2t^2+t[/tex]

We have to find,

What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?

According to the question,

The position of the particle is given by,

[tex]\rm x(t)=2t^2+t[/tex]

The average speed of this particle is determined by differentiating the function with respect to x,

[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]

Then,

The average speed of the particle over interval 2 is,

[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]

And the average speed of the particle over interval 10 is,

[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]

Therefore,

The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,

[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]

Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.

For more details refer to the link given below.

https://brainly.com/question/2292357

Answer:

Very basically, the answer is 3

Step-by-step explanation:

Know this cause Edge 2023

If adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 70beats per minute and 82beats per minute.

Answers

This question is incomplete.

Complete Question

Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)

Answer:

0.3688

Step-by-step explanation:

The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.

n = number of random samples = 1

For 70 beats per minute

z = 70 - 76/12.5/√1

z = -0.48

Probability value from Z-Table:

P(x = 70) = 0.31561

For 82 beats per minute.

z = 82 - 76/12.5/√1

z = 0.48

Probability value from Z-Table:

P(x = 82) = 0.68439

The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.

P(x = 82) - P(x = 70)

0.68439 - 0.31561

= 0.36878

≈ 0.3688

find the slope and y- of the table​

Answers

Answer:

y = (3/2) x +6

Step-by-step explanation:

The y-intercept is clearly at y = 6 point (0, 6) of the table.

The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)

slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2

Then the equations of the line in slope y-intercept form is:

y = (3/2) x +6

the answer is y=(3/2)x+6

An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour.

Answers

Answer:

67 meters per hour

Step-by-step explanation: becasue i need pints

Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.

a. What is the explicit definition for this sequence?



b. How far does she run on day 19?

Answers

B Because how far does she runs on day 19

Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Gshhebehbebe hebebeb bebebeb benenne hwbebeb hebebvecehalonw wine wow. Nennen

which represents 8(95) using the distributive property to simplify

Answers

Answer:

8*90 + 8*9 = 760

Step-by-step explanation:

Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.

PLEASE HELP!
How do you calculate the cost of repaying a car loan

Answers

Answer:

Multiply and divide

Step-by-step explanation:

Answer:

To determine how much you can expect to pay in finance charges over the life of the loan, multiply the Monthly Payment Amount by the Number of Payments, minus the Amount Borrowed. This should give you the Total Amount of Finance Charges that you can expect to pay.

Step-by-step explanation:

Hope This Helps probably not but here!

Guys pls help if I don’t know if I’m correct

Answers

Answer:

Yes u are correct

Little Bo Peep needs to buy 10 new sheep.
Farm M: one sheep costs $20
Farm Q: Set of 5 sheep costs $75.
How much will it cost Little Bo Peep to buy 10 sheep from Farm M?

Answers

Answer:

200$

Step-by-step explanation:

10 TIMES 20 IS 200

I need to solve for n.​

Answers

it’s going to be 286.

Suppose the equation of line t is y = x. Which shows the graph of A'B'C' for Rt?

Answers

Answer:

A'(1, -1), B'(-1, 1), C'(-1, -1)

Step-by-step explanation:

Coordinates of the vertices of the given triangle ABC are,

A(-1, 1), B(1, -1), C(-3, -1)

We have to find the new coordinates of these vertices after reflection across y = x,

Rule for the reflection of a point across a line, (y = x) is,

(x, y) → (y, x)

Following the given rule of transformation,

A(-1, 1) → A'(1, -1)

B(1, -1) → B'(-1, 1)

C(-3, -1) → C'(-1, -3)

Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?

Answers

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:
L(3,1), M(4,3), N(5,3) and P(4,1).
Using the reflection rule, you can find coordinates of image points:
L'(1,3), M'(3,4), N'(3,5) and P'(1,4).
As you can see, these are coordinates of vertices of the figure C.
Answer: correct choice is option 3 - figure C.

Answer:

Quick answer option C

Step-by-step explanation:

help me idk what it is​

Answers

the answer is the bottom one on the first row

it should be the top right answer.
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28

So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15

Just the picture, Geometry.

Answers

∠2 = ∠3 ( vertically opposite angles )

= 112° = 112°

= ∠3 = ∠7 ( corresponding angles )

Therefore , m∠7 = 112° .

A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions the student gets correct. (a) Find P(X = 3). (b) Find P(X > 2). (c) To pass the test, the student must answer 7 or more questions correctly. Would it be unusual for the student to pass? Explain.

Answers

Answer:

1)0.2502

2)0.475

3)0.003505

Step-by-step explanation:

Total No. of question n= 10

There are four choices in each question

So, Probability of success [tex]p = \frac{1}{4}[/tex]

Probability of failure q  = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]

We will use binomial over here

[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]

1)

[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]

2)  [tex]P(X > 2)=1-P(X\leq 2)[/tex]

P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))

[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]

[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]

P(X>2)=0.475

3)

[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]

muggsy weigh 5/7 as much as his friend bruno. bruno weighs 125 lb. how many does muggsy weigh?

Answers

Answer:

Muggsy weighs 89 2/7 lbs.

2x+3=10
Simplify to the nearest term.

Answers

Answer:

x = 4.

Step-by-step explanation:

2x + 3 = 10.

Simplify 3 - 10 = -7.

2x = -7.

Divide 2x = -7 to 4.

Hope this helps!

Have a good day ma'am/sir.

Be safe!

You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.

Answers

Answer:

$625

Step-by-step explanation:

You start with $500

The interest per year is 5% or 500 x 0.05 = $25

If it matures 5 years and each year has an increase of $25 then

Year 1 - $525

Year 2 - $550

Year 3 - $575

Year 4 - $600

Year 5 - $625

Answer:

Step-by-step explanation:

We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.

lincoln middle school has a total of $200 to spend on notebooks and tablets

Answers

Answer:

Oh um ok. Is there supposed to be like a 2nd part to this??

Step-by-step explanation:

There are 20 students in a class and 70% of these students passed their Biology test.
What number of these students passed their test? Round your answer to the nearest whole
number if necessary.

Answers

Answer:

The answer is 14 students.

Step-by-step explanation:

70% of 20 = 14

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

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

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical

spend 54.49 and 79.99. how much in total

Answers

Answer:

25.5

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT

Answers

7% is equal to 0.007

The decimal equivalent of 7% is, C. 0.07.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know, Percentages and decimals are related to each other.

Decimals can be converted into percentages by multiplying them by 100

and vice versa.

Given, We have to find the decimal equivalent of 7%.

The decimal equivalent of 7% is,

= 7/100.

= 0.07.

Q. Which of the following is equal to 7%?

A. 7.

B. 0.7.

C. 0.07.

D. 7%.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ7

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