What is the inverse of the function f(x) = 2x + 1?

Answers

Answer 1

Answer:

1 + 2x = f(x) i believe

Step-by-step explanation:

Answer 2

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]


Related Questions

2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)​

Answers

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

Answer:

Im here can u do it now?

Step-by-step explanation:

Whitney made 7 1/2 quarts of hot chocolate. Each mug holds 5/6 of a quart. How many mugs
will Whitney be able to fill?
Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

15

Step-by-step explanation:

The total of hot choclate made by Whitney = 7 1/2 quarts.

= 7 (2) + 1 15

----------- = ---

2 2

each mug holds 1/2 quarts

Total quarts of the hot chocolate ÷ quarts of hot choclate hold by each mug:

= 15/2 ÷ 1/2

= 15/2 x 2/1

= 15

Whitney will be able to fill 15 mugs

Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden's test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong

Answers

Answer:

Step-by-step explanation:

Score of 2 questions = 2 *5 = 10

He got 2 questions wrong. So, 50 - 10 = 40.

Camden's test score out of 50 =  [tex]\frac{40}{50}[/tex]

Score for x questions = x *5 = 5x

Camden's score if he got 'x' questions wrong = 50 - 5x

find the measure of x(HEELP)

A.180

B.109

C.135

D.116

C.120

Answers

Answer:

x = 109

Step-by-step explanation:

The exterior  angle of a triangle is equal to the sum of the opposite angles in the triangle

x = 45+64

x =109

Answer:  B. 109 degrees

Step-by-step explanation:

The two remote interior angles add up to the exterior angle which means if you add the two measures you will get x.

64 + 45 =     109    

Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20 What does the first term of the expression represent?

Answers

Answer:

why do you think its funny that u will get banned and the answer is The total points Shelly earned

Step-by-step explanation:

Answer:

its the difference between shelly and terances points

Step-by-step explanation:

A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible?

Answers

Answer:

110 combinations.

Step-by-step explanation:

We are going to be choosing without replacement.

Out of 11 people, we can choose one president, but after choosing, we would be left out with 10 people to choose a vice president from.

To calculate the possible combinations of president and vice-president, we multiply 11 by 10

11 x 10

= 110

Therefore we have 110 vice-president/president possible combinations.

Nikils soccer team has 13 players. nikil has 4 fewer players on his team than roses team. How many players are on rise team?

Answers

Answer: 17

Step-by-step:

Nikils soccer team has 13 players. nikil has 4 fewer players on his team than roses team. How many players are on roses team?

nick has 13 players they have 4 less then roses team that means rose has 4 more tram members then nikils team

that would mean you add 13+4 to get roses team

13 + 4 =17

-3n+2>-4n-3 help me solve this

Answers

Answer:

n>−5

Step-by-step explanation:

Step 1: Add 4n to both sides.

−3n+2+4n>−4n−3+4n

n+2>−3

Step 2: Subtract 2 from both sides.

n+2−2>−3−2

n>−5

If measure angle 7 , recall that alternate interior angles have equal measures. Thus , the measures of angle is 65 degree. What is the measure of angle 9 degree?

Answers

Answer:

Angle 9 = 65°

Step-by-step explanation:

Given:

Angle 7 = 65°

Angle 7 is alternate to Angle 9

Find:

Angle 9

Computation:

We know that

alternate interior angles are equal and angle 7 is alternate to angle 9

So,

Angle 7 = Angle 9

So,

Angle 9 = 65°

1/4a + 1/3a + 8 = 22 what would be the steps to solve this

Answers

Answer:

Step-by-step explanation:

first i would combine like terms so 1/4a + 1/3a is equal to 7/12 then the equation would be 7/12a+8=22 simplify the isolate the variable so i think it A=24

Answer:

Hey there!

Step-by-step explanation:

Equation: 1/4a + 1/a + 8 = 22

(The answer is 24)

(You have to do 3 steps in order to solve this question! The steps are below!)

~1. First you have to simplify both sides of the equation.

=> (1/4a + 1/3a) + (8) = 22

=> 7/12a + 8 = 22

~2. Next, subtract 8 from both of the sides.

After you do that you will get, 14

7/12a=14

~3. Lastly, you just multiply both sides by 12/7.

(12/7) x (7/12a)

(12/7) x (14)

~Therefore, A would equal to 24.

A=24

~Hope this helps!

~Good luck! :)

~If you still don’t understand, ask for help! (I would be glad to answer any questions you have! :D )

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why?

Answers

Part A

The coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.

Part B

To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve it.

25 × 7.50 = $187.5.

0.20 × 300 = $60

Total: $187.50 + $60 = $247.50 + $40 = $287.50

Part C

If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.

Measure of arc JKM= ???

Answers

Answer:

180°

Step-by-step explanation:

JM is the diameter of the circle with center L.

[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]

Answer:

          measure of arc JKM = 180°

Step-by-step explanation:

JLM is diameter so  arc JKM is half of circle

measure of arc JKM = 0.5m•360° = 180°

Please help me!!!!!!!!!!!!!!!

Answers

Answer:

x < 2 OR x > 2

Step-by-step explanation:

-18x + 21 > -15                      20x - 13 > 27

-18x > - 15 - 21                     20x > 27 + 13

-18x > -36                            20x > 40

x < -36/-18                           x > 40/20

x < 2                                    x > 2

x < 2 OR x > 2

A is the answer becos it cant be C

Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies. He figured out how many he had total, and then he divided that total into 2 groups to put onto his shelves. How many did he put on each shelf? Choose the expression that best matches this situation.

Answers

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

On 4 different days, he bought 2 movies.On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies.He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

Answer:

[(4 x 2) + (2 x 3) – (2 x 2)] ÷ 2

Step-by-step explanation:

The
numbers are {0, 1, 2, 3, 4, ...}.
whole
rational
natural
real
integer

Answers

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

Step-by-step explanation:

What are the x-intercepts of the quadratic functions f(x) = (x + 7)(x − 5)?

Answers

Answer:

-7 and 5

Step-by-step explanation:

To tell what the x intercepts are you set both (x+7) and (x-5) equal to zero and then subtract/ add it to zero and then you have the answer. So x+7=0 would be x=-7 and x-5=0 would be 5

Oliver had to wash thirty-nine short sleeve shirts and forty-seven long sleeve shirts before school. If he had only washed twenty of them by the time school started, how many did he not wash?

Answers

Answer:

66

Step-by-step explanation:


Help fast are they similar or not

Answers

Answer:

not similar

Step-by-step explanation:

Triangle FGH has two sides that are equal GH and GF

Triangle UVW does not have two sides that are equal

They cannot be similar

Answer:

No

Step-by-step explanation:

No, because the sides on the two triangles are not congruent and the smaller triangle can't be multiplied by a number to equal the bigger triangle.

6. A motorcycle is moving at a constant speed of 40 miles/hour. How long does it take to travel
a distance of 65 miles?

Answers

Answer:

1.625 hours

Step-by-step explanation:

The equation is

d = rt  where d is distance  r is rate and t is time

65 = 40 *t

Divide each side by 40

65/40 = t

1.625 hours = time

Stacy sent 10 more texts than twice her little sister yesterday together they sent 46 texts how many texts did Tracy send

Answers

Answer:

Tracy sent 12 texts

Step-by-step explanation:

hope this helps

Answer:

The answer is 12 texts.

Step-by-step explanation:

Ok, so I'm assuming that Tracy is the little sister.

Stacy's texts: s

Tracy's texts: t

46 = s + t

s = 2t + 10

Substitute 2t + 10 for s in the first equation.

46 = 2t + 10 + t

46 = 3t + 10

-10          -10

36 = 3t

36/3 = 12

Tracy sent 12 texts and Stacy sent 34 texts.

If you use this answer, please mark Brainliest.

do anybody know 15×18+12÷3+9​

Answers

Answer:

283

First, multiply 15 and 18. You get 270. Then divide 12 and 3. You get 4. Add 270, 4, and 9 together to get 283

I NEED HELP WITH THIS. PLZZZZ HELP!!!!!!!! :(

Answers

Simple

Step-by-step explanation:

State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!

Answer:

Here's the new and improved essay. I made sure to add the literary devices.

Step-by-step explanation:

My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime  shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.

Need this FAST! Will reward 25pts!! If the force of gravity increases, which measurement will change and how? weight decreases mass increases mass decreases weight increases

Answers

Answer:

[tex]\Large \boxed{\mathrm{weight \ increases}}[/tex]

Step-by-step explanation:

Taking the formula for weight:

[tex]\sf Weight = mass \cdot acceleration \ of \ gravity[/tex]

[tex]W=m \cdot g[/tex]

The mass will remain the same.

[tex]\upuparrows W=m \ \ \cdot \upuparrows g[/tex]

As the force of gravity increases, the weight increases.

[tex]\downdownarrows W=m \ \ \cdot \downdownarrows g[/tex]

As the force of gravity decreases, the weight decreases.

Answer:

sorryyyyy

Step-by-step explanation:

___________"__________

uuuuuuuuuuuuuuuuuuuuu

j

Complete the table for the graph of the equation x + 2y = -1
x f(x)
-2?
0?
3?

Answers

[tex]x + 2y = -1\\x=-2,0,3\\f(x)=y\\[/tex]

plug in each value of x in the function y:

[tex]-2+2y=-1\\2y=1\\y=\frac{1}{2}[/tex]

first point is [tex](-2, \frac{1}{2})[/tex]

so when x = -2, f(x) = 1/2

[tex]0+2y=-1\\2y=-1\\y=-\frac{1}{2}[/tex]

second point is [tex](0,-\frac{1}{2})[/tex]

so when x = 0, f(x) = -1/2

[tex]3+2y=-1\\2y=-4\\y=-2[/tex]

third point is [tex](3,-2)[/tex]

so when x = 3, f(x) = -2

What is the awnser to 5y-8=3y+12

Answers

Step-by-step explanation:

first collect the like terms together that is all the coefficient of y and the numbers

i.e 5y-3y=8+12

then now you can solve

2y=20

and y=10

Answer: y=10

Step-by-step explanation:

-2(7 + y)2 -8(y + 1)​

Answers

-2(7 + y)2 -8(y + 1)​

Simplify :)

−12y−36

So I have 5 cats and eat 2819 how many do I have left

Answers

Answer:

-2814

Step-by-step explanation:

5 cats, u eat 2819 of them, that means u have negative 2819

the answer is negative 2814 “-2814” hope this helped!!

How many terms are in the polynomial? 3x³ + 4x² - 8x - 5 A. 3 B. 4 C. 7 D. 9

Answers

Answer:

its 3 terms is also a trinomial

the figure shows triangle ABC and some of its transformed images on the coordinate grid. witch of the four triangles was formed by a translation of triangle ABC ?

Answers

Triangle ABC has vertices A(2, −1), B(−3, 0), and C(−1, 4).

Identify the inequality for the given graph.

Answers

Answer:

We. can see there's a  black point at -3.7 and an arrow going to the left.

As the arrow goes to the left, it must be less than -3.7 or less than or equal to -3.7, now, we will need to see the colour of the point to know which it is.

As there is a black point, -3.7 is also contained in this range...

What does that mean? That means it will be less than or equal to -3.7

So we know the correct option is a) less than or equal to -3.7, what we could write as ([tex]-\infty,-3.7[/tex]].

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There will still be fewer North Americans practicing Islam than Judaism or Buddhism in 2050. The number of North Americans who are unaffiliated with any religion will increase significantly by 2050. All religions except Christianity will represent a greater percentage of North Americans in 2050 than in 2010. What are sources of income that can be used for debt service on municipal revenue bonds? As the Black Death spread in the mid-14th century, which region tended to experience thegreatest loss of life?A) Urban areasB) Rural FarmsC) Remote villagesD) Mountainous areas Help me please Ill give you brainliest Podras enviar un mensaje a tus seres queridos es sentido figurado?Cmo la haras? Ana is a hard-working college junior. One Saturday, she decides to work nonstop until she has answered 200 practice problems for her chemistry course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time Total Problems Answered 8:00 AM 0 9:00 AM 80 10:00 AM 140 11:00 AM 180 Noon 200 The marginal, or additional, gain from Anas second hour of work, from 9:00 AM to 10:00 AM, is ? problems. The marginal gain from Anas fourth hour of work, from 11:00 AM to noon, is ? problems. Later, the teaching assistant in Anas chemistry course gives her some advice. The teaching assistant says, Based on past experience, working on 70 problems raises a students exam score by about the same amount as reading the textbook for 1 hour. For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems and how many should she have spent reading? 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