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

Answers

Answer 1

Answer: X minus 1 over 2

Step-by-step explanation:

Use an inverse function calculator

Answer 2
f(x)=x/2 -1/2. I got this by switching the variables x and y with each other and solving for y. The equation looks like this after I switched. x=2y+1. Then you just solve for y in the equation x=2y+1! Hope I helped!

Related Questions

For each value of u, determine whether it is a solution to -28 = -4(u+5).
Is it a solution ?

Answers

If u= 2 it is solution

An engineer draws a scale model of a building.
• The scale of the drawing is 1 inch = 2.5 feet.
• On the drawing, one wall is 30 inches long.

What is the length of the actual wall?

Answers

64.5 ft. That’s because 30 inch paper= 1 inch in real life. Multiple the 30 with the 2.5

Answer:

75 feet

Step-by-step explanation:

[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]

By using a proportion we can solve this problem.

By isolating x we get x = 2.5(30) so x = 75.

Thus if the wall is 30 in in the model it is 75 feet in actuality.

(y+3)=−34(x−4) find the point and the slope

Answers

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

x_1 and y_1 are the x and y coordinates of one point.m is the slope of the line.

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Choose the graph that matches the given equation y = 2sin(x – π) + 2.

Answer: D

Answers

Answer:

The graph that matches the equation y = 2sin(x – π) + 2 is D

Step-by-step explanation:

To determine which graph matches the given equation y = 2sin(x – π) + 2. We will determine the values of y for range of values of x from -2π to 5π.

When x = -2π

From

y = 2sin(x – π) + 2

Then

y = 2sin(-2π – π) + 2

y = 2sin(-3π) + 2

(NOTE: π = 180°)

∴ y = 2sin(-540) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = -π

Then

y = 2sin(-π – π) + 2

y = 2sin(-2π) + 2

y = 2sin(-360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 0

Then

y = 2sin(0 – π) + 2

y = 2sin(-π) + 2

y = 2sin(-180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = π

Then

y = 2sin( π– π) + 2

y = 2sin(0) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 2π

y = 2sin(2π – π) + 2

y = 2sin(π) + 2

y = 2sin(180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 3π

y = 2sin(3π – π) + 2

y = 2sin(2π) + 2

y = 2sin(360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 4π

y = 2sin(4π – π) + 2

y = 2sin(3π) + 2

y = 2sin(540) + 2

y = 2(0) +2

y = 0 + 2

y =2  

When x = 5π

y = 2sin(5π – π) + 2

y = 2sin(4π) + 2

y = 2sin(720) + 2

y = 2(0) +2

y = 0 + 2

y =2

The only graph that corresponds to the tested values of x is the last graph (D)

Hence, the graph that matches the equation y = 2sin(x – π) + 2 is D.

The graph of the given equation is given by option D) and this can be determined by using the rules of transformation.

Given :

Equation  --  [tex]y = 2\sin(x-\pi)+2[/tex]

The following steps can be used in order to determine the graph that represents the given equation:

Step 1 - Write the given equation.

[tex]y = 2\sin(x-\pi)+2[/tex]

Step 2 - Now, draw the graph of (sin x) and then translate it by a factor of [tex]\pi[/tex] in the right direction. So, the graph obtained is the graph of [tex]\sin(x-\pi)[/tex].

Step 3 - Now, stretch the graph of [tex]\sin(x-\pi)[/tex] by a factor of 2. So, the graph obtained is the graph of [tex]2\sin(x-\pi)[/tex].

Step 4 - Now, translate the graph of [tex]2\sin(x-\pi)[/tex] by a factor of 2 in the upward direction. So, the graph obtained is the graph of [tex]2\sin(x-\pi)+2[/tex].

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/14375099

what is the center of the circle represented by this equation?
(x-7)2 + (y+4)2 =9

Answers

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]

Which relationships describe angles 1 and 2?
Select each correct answer.
1. supplementary angles
2. vertical angles
3. adjacent angles
4. complementary angles

Answers

Answer:

supplementary

Step-by-step explanation:

angle adds to 180 degrees

Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second.
After 5 seconds, how much farther will Horse A have traveled?

Answers

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

The expression 3x to the second power represents

Answers

Answer:

3x times 3x

Step-by-step explanation:

please help me ......​

Answers

Answer:B

Step-by-step explanation:

Which expression shows two times seven to the fifth?
A.
27 × 5
B.
2 × 75
C.
27 × 5
D.
2 × 7 × 5

Answers

Answer:

B.2 × 7^5

Step-by-step explanation:

two times seven to the fifth = 2 x 7^5

[tex]2 * 7 ^5[/tex]

[RevyBreeze]

Solve this inequality for n.
14< n - 22

thanks ^^

Answers

Answer:

n = 36

Step-by-step explanation:

First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.

n - 22 + 22 < 14 + 22

n = 36

Write the explicit equation for this sequence. 4, 7.5, 11, 14.5,
18...

Answers

Answer:   f(n) = 3.5n + 0.5

======================================================

Work Shown:

a = 4 is the first term

d = 3.5 is the common difference (we add this to each term to get the next term)

f(n) = nth term of arithmetic sequence

f(n) = a + d*(n-1)

f(n) = 4 + 3.5(n-1)

f(n) = 4 + 3.5n - 3.5

f(n) = 3.5n + 0.5

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

As a check, we could plug in n = 1 to get

f(n) = 3.5n+0.5

f(1) = 3.5(1)+0.5

f(1) = 4

Showing that 4 is the first term. Now let's try n = 2

f(n) = 3.5n+0.5

f(2) = 3.5(2)+0.5

f(2) = 7.5

Which matches with the sequence also.

I'll let you confirm the other terms.

(a-b) (c-d). Please give steps :c

Answers

Answer:

ac - ad - bc + bd

Step-by-step explanation:

There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.

I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.

Kelsey buys 4 packages of juice boxes for a class party.
Each package has 2 rows with 5 juice boxes in each row.
How many juice boxes does Kelsey buy in all?

Answers

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy


Show why the statement below is FALSE.
V16 – V4 + V16 - 4

Answers

Answer:

V16 – V4 is equal to V16 - 4 only when V=1

Step-by-step explanation:

16-4=16-4

12=12

any number other than 1 doesn't work

The heights, in inches, of Olly’s brothers and sisters are listed below.
52,54,52,68,45
Which statement describes what would happen if Olly’s height, 56 inches, is added to the list?

Answers

Answer:

there would be a difference in mean


Find the EXACT volume of the cone above. Show your work in the box below. Be sure to include correct units.
Leave your answer in terms of pi.

Answers

ok solo multiplicar por eso

pet and lunch preferences​

Answers

The lines in the graph are pretty close to each other, the answer would be the second choice.

There is no association because distribution of lunch preference is approximately the same.

1+ 1/3(n-1)
what’s the answer

Answers

that is your anwser please rate it bad if it's wrong n/3 + 2/3

a
A sphere has a volume of 13.04 cm3.
Calculate the radius of the sphere.

Answers

Answer:

[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Step-by-step explanation:

Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]

Given volume = 13.04 cm³

[tex]\implies 13.04=\dfrac43\pi r^3[/tex]

Multiply both sides by 3/4:

[tex]\implies 9.78=\pi r^3[/tex]

Divide both sides by [tex]\pi[/tex]:

[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]

Cube root both sides:

[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]

[tex]\implies r=1.460146149...[/tex]

[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

A pallet of toggle bolts weighs 516 kilogram. If a warehouse has 82 pallets what is their total weight

Answers

Answer:

no se

perdon

Step-by-step explanation:

516 x 82 = 42,312 kg

Which expression below has the LEAST value?
3.78 x 10
5.99 x 102
7.35 x 10-12
9.46 x 10-10

Answers

Answer: A

Step-by-step explanation:
Your answer is A.

Value of 3.78 x 10=37.8

Value of 5.99 x 102=699.98

value of 7.35 x 10-12=61.5

Value of 9.46 x 10-10=84.6.

Least value to greatest value

3.78 x 10=37.8 Least value

7.35 x 10 - 12=61.5 Sencond least value

9.46 x 10 - 10=84.6  Sencond greatest value

5.99 x 102=699.98  Greatest value

Hope it helps have a great day:)

What is 1.75 divided by 5.25

Answers

Answer:

0.33333333333

1.75 / 5.25 equals: 0.33333333333

Step-by-step explanation:

The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

We have to given that;

The expression to solve.,

⇒ 1.75 divided by 5.25

Now, We can divide as;

⇒ 1.75 divided by 5.25

⇒ 1.75 / 5.25

⇒ 175/525

⇒ 0.33

Thus, The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Please help asap! I will gave brainlest!

Answers

270°

Explanation: if you look at the sin graph, you can see that it hits -1 when x = 270° (I attached a photo)

anyone know how to do this

Answers

Answer:

[tex] \sqrt{105} [/tex]

Step-by-step explanation:

Using the geometric nean theorem, if we let the hypotenuse be x, then:

[tex] \frac{7}{x} = \frac{x}{15} [/tex]

[tex] {x}^{2} = 105[/tex]

[tex]x = \sqrt{105} [/tex]

what is the domain and range of the equation f(x)=-x^2+1 for x≥0?

Answers

Answer:

Domain:

(-∞,∞)

Range:

[1,∞)

Step-by-step explanation:

Domain is all the x values

range is all the y values

graphing it would make it look easy to figurw out

a number p is not positive

Answers

what do you mean? I’m confused haha

can you please help me

Answers

Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person of a cup of chocolate mousse, how many people can she serve? 30 people people 10 people people

Answers

The number of people she can serve is 10 people.

She made 10 cups of chocolate mousse for dessert.

Her plan was to serve each person of a cup of chocolate mousse.

This means she will serve one person a cup of the chocolate mousse for dessert.

The number of people she will serve can be calculated with the following proportion.

let

x = number of people she can serve

Recall each person must get one

Proportional relationship10 / x = 1

cross multiply

x = 10

Therefore, the number of people she can serve is 10 people.

learn more on algebra here: https://brainly.com/question/690244

56,252 rounded to the nearest ten thousands place

Answers

Answer:

56,252 rounded to the nearest ten thousands place is 50,000

Answer:

The answer would be 56,000.

Step-by-step explanation:

You need to look at the number next to the ten thousands place.

56,252

See if the number is 5 or greater so that you can round up.

If lower than 5, you round down.

The 2 is less than 5 so you round down to 56,000.

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