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

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

Answer 1

[tex]f(x) = 2x + 1[/tex]

[tex]y = 2x + 1[/tex]

Subtract sides -1

[tex]y - 1 = 2x + 1 - 1[/tex]

[tex]y - 1 = 2x[/tex]

[tex]2x = y - 1[/tex]

Divided sides 2

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

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

Thus ;

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

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So the correct answer is (( A )) .

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Related Questions

How much fencing is required to enclose a circular garden whose radius is 14 m?

Answers

Answer:

87.96m of fencing

Step-by-step explanation:

Which method can be used to prove that AJKL is congruent to AJML?
SSS
OHL
SAS
ASA

Answers

Answer:

it is SAS

Step-by-step explanation:

side angle side

triangle JKL is congruent to triangle JML

because they have two equal sides:

JL whitch is common in both of them and ML equal to KL

and the included angles are equal.

Find the distance between the points (7,4) and (3,7)

Answers

Answer:

3/4

Step-by-step explanation:

The distance between the two points is five.

[tex]d=\sqrt{((x2-x1)^2+(y2-y1)^2)} \\\\(x2-x1) = (3 - 7) = -4\\\\(y2-y1) = (7 - 4) = 3\\\\(-4)^2 + (3)^2 = 16 + 9 = 25\\\\\sqrt{25} =5[/tex]

John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?

Answers

Answer:

John had $2088 originally in his savings accounts.

Step-by-step explanation:

Let John had $x originally in his saving account

He spent $198 on a radio. The remaining money = x - $198

4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)

= (1 - 4/12) of (x-198)

= 2/3 of (x-198)

John then put 2/9 if his remaining money into a checking account.

Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)

= (1 - 2/9) * 2/3*(x-198)

= 7/9 * 2/3*(x-198)

= 14/27(x-198)

Money left with him = $980

14/27(x-198) = $980

x - 198 = $980 * 27 / 14

x - 198 = 1890

x = 1890 + 198

x = 2088

Hence, John had $2088 originally in his savings accounts.

What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i

Answers

Answer:

B. x=1+2i or x=1-2i.

Step-by-step explanation:

The equation is given as;

x²-2x+5=0

complete the square method to find value of x as;

x²-2x = -5

x²-2x + 1 = -5 + 1

x²-2x +1 =-4

( x-1 )² = -4

x-1 = ±√-4 ---------where √-1 = i

x-1 =± 2i

So;

x-1 = + 2i

x= 1+2i

or

x= 1-2i

x= 1-2i

Hailey must make at least $200 in sales each week. So far this week, she has already made $60 in sales. How much more does she
need in sales this week (2) in order to meet her goal?

Answers

Answer:

140!

Step-by-step explanation:

200 - 60 = 140

Find the square root of the given numbers

1. 114
2. 625
3. 81
4. 729​

Answers

1- 12 (I think you ment 144)
2-25
3-9
4-27

Answer:

1. +/- 10.67707825

2. +/- 25

3. +/- 81

4. +/- 27

Is it a function ?? (please help)

Answers

Answer:

No because there are not only 1 y value per x value

no there should only be one number per value.

A player at second base throws a ball to the catcher at home plate, but the catcher misses it. Which of the following best represents this situation?

A. ray SP
B. point S
C. segment SH
D. plane SPH

Answers

Answer:

d

Step-by-step explanation:

PLSSSSSS!!!! HELP ME I WILL MARK YOU!!!!!!! MATH!!!!!!!!!!!!!!

Answers

Answer:

-24

Step-by-step explanation:

-1(3^2)+(-15)

  -9+(-15)

      -24

Answer:

-24

Step-by-step explanation:

if n=-1, p=3, and q=-15, then the equation would be -1(3)^2+(-15)

Follow PEMDAS.

-1(3)^2+(-15)

-1x3^2-15

-1x9-15

-9-15

**-24**

hope this helps! : )

What value of x makes this equation true? 2(4x-3) - 8= 4+2x​

Answers

Answer:

What value of x makes this equation true? 2(4x-3) - 8= 4+2x​  HERE YOU GO!!

Step-by-step explanation:

We need to eliminate one of the variables to solve the other.

 

4x+5y = 8

2x-3y = 18

I will multiply the second equation by -2.

 

-2*(2x-3y = 18)

-4x + 6y = -36 and then add the two equations

 

4x + 5y = 8

-4x + 6y = -36

+ adding here

11y = -24

y = -24/11

substitute x in one of the equations to find y.

2x-3y=18

2x - (3*-24/11) = 18

2x = 126/11

x = 126/22

Triangle PQR has vertices , , and . It is translated according to the rule

Answers

-10 is the correct answer.

Answer:

D. -10

I have to make this more the 20 characters...

What Is the value of X?
Lines cut by a transversal line...

Answers

(2x–5)° + 45° = 180° (sum of consecutive interior angles

=> 2x + 40 = 180

=> 2x = 180– 40

=> x = 140 /2

=> x = 70

The required value of the x is 70 in the measures of the angle.

Given that Line m and n are parallel lines and intersect by a transversal line l.

When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.

From the sum of consecutive interior angles we have;

(2x–5)° + 45° = 180°

2x + 40 = 180

2x = 180– 40

x = 140 /2

x = 70

Learn more about lines here:

brainly.com/question/2696693

#SPJ4

Miguel has $30. He spends $6.75 on a movie ticket, $3.65 for snacks, and $2.00 for bus fare each way.


How much money does Miguel have left? please help :}

Answers

Answer:

$15.60

Step-by-step explanation:

We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:

[tex]6.75+3.65+4.00[/tex]

[tex]=14.40[/tex]

Let's subtract our sum, [tex]14.40[/tex], from our total, [tex]30[/tex]:

[tex]30-14.40[/tex]

[tex]=15.60[/tex]

Miguel has $15.60 left.


20. The product of five and four more than x is 60.
a. 5x4+= 60
b. 5x+4 = 60
c. 5(x + 4) = 60
d. 5+4+x=60

Answers

Answer:

D

Step-by-step explanation:

I think the answer is D because 5 and 4 equal 9, and equation D is 5+4+x=60. So, the correct equation is D. Hope it helps!

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

x=5

Step-by-step explanation:

7x-5=4x+10

3x-5=10

3x=15

x=5

HELP PLS
I AM NOT GOOD AT MATH THX

Answers

Answer:

B

Step-by-step explanation:

Answer:

a or c is the answer because its not good to guess and because making a list wont help u that much

Tom needs 9/10 pints of glue for his art project. He has 7/10 pints of glue. How much more glue does he need? write in simplest form.​

Answers

Answer:

7/10-5/10= 2/101/5

Step-by-step explanation:

hope this is right and i hoped this helped

Answer:

1/5 pint

Step-by-step explanation:

given:

Amount of Glue needed = 9/10 pints

Amount of Glue available = 7/10 pints

Amount of extra glue needed = Amount of glue needed - Amount of Glue Available

= 9/10 - 7/10

= (9-7)/10

= 2/10   (simplify by dividing both numerator and denominator by 2)

= 1/5 pint

When rounded to the hundreds place, which of the numbers below round to 456,700?
A) 456,605
B) 456,739
C) 456,798
D) 456,698
E) 45,673

Answers

Answer:

If you can only pick one option I'd choose D.)

Step-by-step explanation:

Option D is only two numbers away from 456,700

The second closest number would be option B.)

Answer:

[tex]D) . \: 456,698 = 456,700 \: to \: the \: hundreds \: place.[/tex]

Find the measures of angles A, B, C, D, E, F, G.

Answers

Answer:

A= 48°

B= 60°

C= 72°

D= 20°

E= 20°

F= 160°

G= 160°

Step-by-step explanation:

A= 180° -90° -42° (∠ sum of △)

A= 48°

D= 180° -42° -28° -90° (∠ sum of △)

D= 20°

E= D (vert. opp. ∠s)

E= 20°

G= 180° -D (adj. ∠s on a str. line)

G= 180° -20°

G= 160°

F= G (vert. opp. ∠s)

F= 160°

C= 180° -88° -D (∠ sum of △)

C= 180° -88° -20°

C= 72°

A +B +C= 180° (adj. ∠s on a str. line)

48° +B +72°= 180°

B +120°= 180°

B= 180° -120°

B= 60°

☆The sum of angles on a straight line is 180°

☆ The sum of angles in a triangle is 180°

A= 48
B= 60
C= 72
D= 20
E= 20
F= 160
G= 160

Ask if you have any questions :D

To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.

A)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am and she wants to have a coffee break that is 5 minutes longer than usual?

B)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am she wants to have a coffee break that is 10 minutes longer than usual?

Answers

Answer:

8:25 am

Step-by-step explanation:

Answer:

A. 13.33

b.15

Step-by-step explanation:

Solve mobiles plz help I’m confused

Answers

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

I kinda need some help

Answers

Answer:

x = 32

y = 60

Step-by-step explanation:

By plugging in the equation and solving it, we end up with 32. Then, plugging in 32 for x we get 60 for y when solved.

6y+8 = 7y-12

subtract 8 from both sides

6y = 7y - 12

subtract 7y from both sides

-y = -20

y = 20

4x = 6x-26

subtract 6x from both sides

-2x = -26

x = 13

Solve for x
4.
7
1
5X-20
X +
4X= -90
X=
(Type an integer or a simplified fraction.) PLEASE HELP!!

Answers

Answer: 100

Step-by-step explanation:

Either manually separate X

Or use ur calculator

please answer all these math qestions QUICK DUE IN A HOUR PLEASE HELP !!!!!!!!!!!!!!! 1.A tablet was on sale for 7/8 of the original price. If the original price was $240, what was the sale price?
2.Christian's family went on a road trip. They stopped 9 times for gas. On average, they spent about 8 minutes at the gas station each time they stopped. On their trip, about how much time did they spend stopped for gas?
3.Lisa was late to class 12 times in the month of September. Each time she was late, she missed 3 1/2 minutes of class. How many minutes of class did she miss in the month of September?
4.Alexis hammered a nail into a piece of wood. Each time she hammered the nail, it moved 1/7inch. If she hammered the nail 14 times, how much did the nail move?
5.A 16.2 ounce box of Honey Nut Cheerios costs $4.86. How much did each ounce of the cereal cost, rounded to the nearest cent?
(please help answer all of these please all of these are due today at night ) (all of these are Rational Numbers Word Problems)

Answers

1. 210
2. 72 min
3. 42 min
4. 2 inches
5. I think $3.33
I hope this helps!

Answer:

1, 210.

2. 72 minutes.

3. 42 minutes

4. 2 inches.

5. 3 cents.

Step-by-step explanation:

1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.

2.  Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.

3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.

4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.

5. So here you have to find the unit rate. Divide the price by the quantity.

4.86/16.2=0.297530865

Round the number up, which would be 3. So it would be 3 cents

Hope this helps :)

WHAT MOVIE HAS 7 THEATRICAL REALESES

Answers

Answer:

The meaning theatrical releases means the date a new movie is entered into the theater distribution system for public viewing. Alternate formats of the movie, such as DVDs, Blu-ray discs and video-on-demand, are scheduled for distribution a set number of weeks or months after the theatrical release. See video-on-demand. So if that is what it means then the movie i think that has 7 theatrical releases is the new movie "Mulan" because the people started making the movie on March 9th, 2020 and released the movie on September 4th, 2020. If i am incorrect i apologize

Hope this helps, have a great day and stay safe! :))))))))))))))

NEED HELP ASAP PLEASE WILL GIVE BRAINLY IF CORRECT

Answers

Answer: 2x-9y=1

Step-by-step explanation:

(this is how i found it don't know if this is how you learned it though)

Subtract 20 from both sides of -3x-8y=20, so that it becomes -3x-8y-20

Subtract 19 from both sides of -5x+y=19, so you get -5x+y-19

Subtract like terms from both equations (-3x-8y-20)-(-5x+y-19), which gives you 2x-9y-1

-3--5=2, -8-1=-9, -20--19=-1

Add 1 to both sides and you get 2x-9y=1

Express the number 5.2 x 10^6 in standard form

Answers

Answer:

5 and 2 tenths times 60

Step-by-step explanation:

The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. Using rounding to the nearest whole second as the only estimation technique, what is the total estimated time for Erin’s five laps in seconds?

Answers

Answer:

320 if u round the way I did u should get this answer. But please work it out on your own to get the how to do it faster and on your own

Step-by-step explanation:

60+60+60+70+70= 320

Answer: it’s 304.

Step-by-step explanation:

Find the slope of the line through the given points:
(3, 5) and (-2, 7)

Answers

Answer:

slope is -2/5

Step-by-step explanation:

use y2–y1/x2–x1

Answer:

-2/5

Step-by-step explanation:

formula: y2-y1/x2-x1=

7-5/-2-3= -2/5

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