18. Identify the inverse function of

18. Identify The Inverse Function Of

Answers

Answer 1

Answer:

[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]

Step-by-step explanation:

[tex]f(x) = \sqrt{x-2} + 3[/tex]

Replace f(x) by y

[tex]y = \sqrt{x-2} + 3[/tex]

Interchange x and y

[tex]x = \sqrt{y-2} + 3[/tex]

Solve for y

[tex]x = \sqrt{y-2} + 3[/tex]

Subtracting 3 to both sides

[tex]x - 3 = \sqrt{y-2}[/tex]

Taking square on both sides

[tex](x-3)^2 = y-2[/tex]

Adding 2 to both sides

[tex]y = (x-3)^2 + 2[/tex]

Replace [tex]y = f^{-1}(x)[/tex]

[tex]f^{-1}(x) = (x-3)^2+2[/tex]


Related Questions

In a box plot, if there is an outlier shown in the picture below, what is considered the min? The outlier or 59?

Answers

Step-by-step explanation:

The outlier is excluded, so the minimum is 59.

help me I don't understand

Answers

Answer: the answer should be A

if this helps the equation format is y= mx + b your replace the with the slop and the b with the y intercept

the way to find the slope is rise over run

Step-by-step explanation:

The area of a triangle is 11.5 square in the base is 23 in what is the height in inches

Answers

Answer:

Height = 1 inch

Step-by-step explanation:

area of triangle = 1/2 x base x height

       11.5 =1/2 x 23 x height

       23/23 = height

       height = 1

Answer:

h = 1 inches

Step-by-step explanation:

The area of a triangle = formula

A = b×h/2

2A = b×h

h = 2A/b

h = 2×11.5in²/23in

= 23in²/23in

= 1 in

Verify that ϕ(x)=2(1−cex), where cis an arbitrary constant, is a one-parameter family of solutions to dydx=y(y−2)2.Graph the solution curves corresponding to c=0,±1,±2using the same coordinate axes.

Answers

Answer:

Following are the solution:

Step-by-step explanation:

Given equation:

[tex]\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)[/tex]

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

In the question [tex]\Phi (x)[/tex], is a solution of the equation (a) only if when [tex]\Phi (x)[/tex]satisfies equation (a):

let us find [tex]\Phi' (x)[/tex]:-

[tex]\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})[/tex]

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

Now:

[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\[/tex]

by subtracting the value of [tex]\Phi (x)[/tex]and [tex]\frac{d}{dx}[/tex][tex]\Phi (x)[/tex],we get:

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

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

[tex]\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}[/tex]

[tex]\Phi (x)[/tex] the solution of the given equation. [tex]\Phi (x)[/tex] has one Parameter Family of

[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}[/tex]

[tex]\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\[/tex]

Mark used the money from his saving account for a down payment for a car. Money in his savings account is an example of a
3
Personal finance

Answers

Answer:

Personal finance

Step-by-step explanation:

Personal finance is a technical term in which a person or group of persons pool resources together for the purpose of budgeting, saving, or spending as they deem fit.

Money in Mark's saving account that he used as a down payment for his car is an example of personal finance.

plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25

Answers

Answer: B.  |x-100| = 25

Explanation:

Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.

The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.

The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

What is an equation?

One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.

The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.

The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

To know more about an equation follow

https://brainly.com/question/1640242

#SPJ2

Please answer I will make you Brainliest if it's right

Answers

Answer:

perfect square

Step-by-step explanation:

Perfect square or square root of 9

Michael earns $10 per hour. He regularly works 40 hours per week.
How many overtime hours would he have to work in a week for his
overtime pay to be greater than his regular gross pay?

Answers

5. Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked. 43 hours. What was her gross pay for the ...

Missing: michael ‎| Must include: michael

14 + 3c = 35 la respuesta de esta también porfa se los agradezco que sea con el trabajo completo gracias oh

Answers

Claro,
14 + 3c = 35
Reste 14 de los dos lados
14 + 3c = 35
-14 -14
Es igual a 3c = 21
Después se divide los dos lados por 3
3c = 31
3 3
Respuesta: C=7

What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??

Answers

Answer:

200,000+10,000+700+4

Step-by-step explanation:

Translate and solve: 24.67 is what percent of 129? Rounded to the nearest tenth of a percent.

Answers

Answer:

31.8

Step-by-step explanation:

24.67x129

=>31.82

=>31.8

divide 4,000,000 in the ratio 2 is to 3 is to 4 is to 5 is to 6​

Answers

Answer:

Step-by-step explanation:

2+3+4+5+6=20

20/20=4,000,000

2/20=?

2/20×4,000,000÷20/20=400,000

20/20=4,000,00

3/20

3/20×4000000÷20/20=600,000

20/20=4,000,000

4/20

4/20×4,000,000÷20/20=800,000

20/20=4,000,000

5/20

5/20×4,000,000÷20/20=1,000,000

20/20=4,000,000

6/20

6/20×4,000,000÷20/20= 1,200,000

2:3:4:5:6=400,000 :600,000: 800,000 : 1,000,000: 1,200,000

Can you assume intersection of lines from a diagram

Answers

Answer:

No

Step-by-step explanation:

t the two equations for the lines into slope-intercept form. ...

Set the two equations for y equal to each other.

Solve for x. ...

Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

A cell phone weighs about 2.8x 10pounds. Which value of n is most reasonable?
-3
-1
0
1​

Answers

Answer:0

Step-by-step explanation: took the quiz

How much is 5 divided by 3/10?

Answers

Answer:

16.6666666667

Step-by-step explanation:

Answer:

16 2/3

Step-by-step explanation:

Step 1:

5/1 ÷ 3/10

Step 2:

5/1 × 10/3

Step 3:

50/3

Answer:

16 2/3

Hope This Helps :)

is y+2=8 an expression​

Answers

Answer:

no

Step-by-step explanation:

hope this helps

No it isn’t . Tell me if that helped .

identify the method that will be used to solve for x for each equation. 4x = 20 5x + 6x = 22

Answers

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

Answer:

ello

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

I need help please! I really need this fast

Answers

The answer I believe is 19

the number in each block is the sum of the numbers in the two blocks beneath it. Some of the numbers are hidden. What is the value of y - x

Answers

Answer:

y - x = 69

Step-by-step explanation:

From the figure attached,

Number in each block is the sum of the numbers in the block beneath it.

Therefore, A + 21 = 32 ⇒ A = 11

A + 5 = B ⇒ B = 16

C = 5 + x

D = 32 + B ⇒ D = 32 + 16 = 48

E = B + C ⇒ E = 16 + (5 + x)

               ⇒ E = 21 + x

y = D + E ⇒ y = 48 + (21 + x)

                   y = 48 + 21 + x

                   y = 69 + x

              y - x = 69

Therefore, y - x = 69 will be the answer.

24x - 22 = -4 (1 - 6x)

Answers

Answer:

ffdfssss

Step-by-step explanation:

fdfdfdfd

Answer:

x is invalid.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, distribute -4 to all terms within the parenthesis:

-4(1 - 6x) = (-4 * 1) + (-4 * -6x) = -4 + 24x

24x - 22 = -4 + 24x

Isolate the variable, x. Subtract 24x from both sides:

24x (-24x) - 22 = -4 + 24x (-24x)

0 - 22 = -4 + 0

-22 ≠ -4, therefore, this question is invalid.

~

What is the angle between the given vector and the positive direction of the x-axis?8i + 6j.

Answers

Answer:

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

Step-by-step explanation:

Let be [tex]\vec u = 8\,i + 7\,j[/tex] and [tex]\vec v = i[/tex] (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:

[tex]\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta[/tex]

Angle is cleared:

[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]

[tex]\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex]

The norms of [tex]\vec u[/tex] and [tex]\vec v[/tex] are found by Pythagorean Theorem:

[tex]\|\vec u\| = \sqrt{8^{2}+7^{2}}[/tex]

[tex]\|\vec u\| \approx \sqrt{113}[/tex]

[tex]\|\vec v\| = 1[/tex]

The dot product between both vectors is:

[tex]\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)[/tex]

[tex]\vec u \bullet \vec v = 8[/tex]

The angle is now calculated:

[tex]\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)[/tex]

[tex]\theta \approx 41.186^{\circ}[/tex]

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

What is the sum of 9+10 (;

Answers

Answer:

19 or 21.

Step-by-step explanation:

I swear.

5 + 5 = 10

10 + 5 = 15

15 + 4 = 19

________________

9 + 9 = 18

18 + 10 = 28

28 - 5 = 23

There are two nines so

23 - 2 = 21

2a+4b-a+2b=???
Where do I start

Answers

combine all the likes terms first, your answer would be a + 6b

6+4m-1=21

PLEASE HELP! I’m stuck on this question :/

Answers

Answer:

m=4

best of luck!

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

6+4m-1=21

(6-1=) 5+4m=21

21-5=16

16÷4m = 4

2/3+1/3x=2x

x=1/2
x=5/2
x=2
x=2/5

Answers

Answer:

x = 2/5

Step-by-step explanation:

Solve for x:

x/3 + 2/3 = 2 x

Hint: | Combine x/3 + 2/3 into a single fraction.

x/3 + 2/3 = (x + 2)/3:

(x + 2)/3 = 2 x

Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.

Multiply both sides by 3:

(3 (x + 2))/3 = 3×2 x

Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.

(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:

x + 2 = 3×2 x

Hint: | Multiply 3 and 2 together.

3×2 = 6:

x + 2 = 6 x

Hint: | Move terms with x to the left hand side.

Subtract 6 x from both sides:

(x - 6 x) + 2 = 6 x - 6 x

Hint: | Combine like terms in x - 6 x.

x - 6 x = -5 x:

-5 x + 2 = 6 x - 6 x

Hint: | Look for the difference of two identical terms.

6 x - 6 x = 0:

2 - 5 x = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 5 x = -2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-5 x = -2

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -5 x = -2 by -5:

(-5 x)/(-5) = (-2)/(-5)

Hint: | Any nonzero number divided by itself is one.

(-5)/(-5) = 1:

x = (-2)/(-5)

Hint: | Simplify the sign of (-2)/(-5).

Multiply numerator and denominator of (-2)/(-5) by -1:

Answer: x = 2/5

Answer: [tex]x=2/5[/tex]

Simplify both sides of the equation

[tex]1/3x+2/3=2x[/tex]

Subtract 2x from both sides

[tex]1/3x+2/3-2x=2x-2x\\-5/3x+2/3=0[/tex]

Subtract 2/3 from both sides

[tex]-5/3x=2/3-2/3=0-2/3\\-5/3x=-2/3[/tex]

Multiply both sides by 3/-5

[tex](3/-5)*(-5/3x)=(3/-5)*(-2/3)\\x=2/5[/tex]

Can you solve 2g - 13 = 3.
g=

Answers

Steps to solve:

2g - 13 = 3

~Add 13 to both sides

2g = 16

~Divide 2 to both sides

g = 8

Best of Luck!

The solution to the equation 2g - 13 = 3 is g = 8.

To solve the equation 2g - 13 = 3 for g, we'll perform the necessary steps to isolate the variable g on one side of the equation.

Starting with the given equation:

2g - 13 = 3

First, we'll add 13 to both sides to eliminate the -13 term on the left side:

2g - 13 + 13 = 3 + 13

2g = 16

Next, to isolate the variable g, we divide both sides by 2:

(2g)/2 = 16/2

g = 8

Therefore, the solution to the equation 2g - 13 = 3 is g = 8.

In this equation, we initially have a linear expression involving the variable g and a constant term. By performing algebraic operations, we rearrange the equation to have g on one side and the constant value on the other side. This isolates the variable and provides us with a specific value for g that satisfies the equation. In this case, the value of g is determined to be 8, which can be verified by substituting it back into the original equation to see if it holds true.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Which features describe the graph? Select all that apply

Answers

Answer:

- Decreasing  

Step-by-step explanation:

im not sure of the last two but the others are for sure a no

Solve the inequality. Graph the solution
|2x+7|>23

Answers

If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.

Then the inequality becomes:

2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)

If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).

Then the inequality becomes:

-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.

(which is an acceptable result since we already assumed x<-3.5)

Thus the answer is x<-15 or x>8.

The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.

0.2121 repeating as fraction

Answers

2122/10000 repeating as fraction

Use the simple interest formula to determine the missing value. p =$1325, r =?t=2 years I=$37.10 r=?% ​(Do not round until the final answer. Then round to one decimal place as​ needed.)

Answers

Answer:

r = 1.4 %

Step-by-step explanation:

given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %

Other Questions
Which is the MOST accurate statement about cells?(A) While all organisms have the same total number of cells, the types of cells differ,(B) Cells are the body's building blocks, the units that make up all organisms.(C) Cells are identical inside, which equips them to do fundamental things like making copies of themselves.(D) While animal and plant cells differ because of the cell wall, cells are otherwise the same outside. What is? 10 = Z +6 and why is it? Which of the following are theories? Select all that apply.A. Detergent type does not affect how well a t-shirt stain is removed.B. Earth's crust is divided into plates that are in constant motion.C. The rate of plant growth is dependent on how much light is present.D. If a bucket of water is left uncovered, then it will evaporate faster.E. All matter consists of tiny particles called atoms. When you calculate apercent recovery you may find sometimes that it islarger than 100%. Assuming this is NOT due to errors associated with zeroing the balance, subtracting the weight of the watch glass or weigh paper, or inaccuracies in the balance calibration, suggest a possible reason for this. Chocolate candy melting in your hand is what type of heat transfer what is corroboration Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paidoff. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amountthat Frankie has paid the store? The accounting records of Nettle Distribution show the following assets and liabilities as of December 31, 2016 and 2017.December 31 2016 2017Cash $51,935 $9,612 Accounts receivable 28,191 22,102Office supplies 4,447 3,257 Office equipment 136,500 145,400 Trucks 53,418 62,418 Building 0 178, 072 Land 0 44,436 Accounts payable 74, 115 36,759 Note payable 0 122,508 Compute the 2017 year-end debt ratio for the business. Under Ohio's state constitution, the Ohio Environmental Protection Agency issues a new rule, the Polk County Commission approves a new property tax measure, and the professors and students at Ohio Law School publish the results of their most recent legal research. Sources of law do not include:_______. Why football player moves to higher altitude to play before world cup?? What is the difference between Humanism andFeudalism? Under what approach do organizations exhibit little environmental sensitivity, and simply obey laws, rules and regulations? The Software Center is the same for every campus. I will have access to any software that I want Your answer: True or False Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer* Which term describes this figure? Charles Clinton Spaulding, one of the pioneering theorists of administrative management, proposed eight _____ of management based in part on his childhood experiences working at his father's fields.A. foundationsB. necessitiesC. considerationsD. fundamentals what are four areas of potential conflict over territory between European countries? How many protons and neutrons does iron-56 have? Question 10 options: 26 protons and 56 neutrons 26 protons and 26 neutrons 30 protons and 56 neutrons 26 protons and 30 neutrons Qu es Es______libro Find an equation of the line having the given slope and containing the given point. m=-5 (5,7)