Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Find the inverse function for f(2)= square root of 2x - 6.

Note: Enter Your Answer And Show All The Steps That You Use To Solve This Problem In The Space ProvidedFind

Answers

Answer 1

Answer:

y = ( x^2 / 2 ) + 3

Step-by-step explanation:

Swap x and y, then isolate y to find a function's inverse

x = sqrt ( 2y - 6 )

x^2 = 2y - 6

x^2 + 6 = 2y

( x^2 / 2 ) + 3 = y

y = ( x^2 / 2 ) + 3 is the final answer.


Related Questions

How many standard deviations from the mean is considered unusual? Why?

Answers

Answer:

It depends on how the data are distributed.

Step-by-step explanation:

If the data follow a normal (Gaussian) distribution, which is the most common, then 2 deviations from the mean is considered unusual because less than 4.55% of the data are in this situation.

Consumer behavior is the way that forces shape people's _____.
A.activities related to buying
B.place and time utility
C.culture and society
D.goods and services

Answers

Answer:

A.activities related to buying.

Explanation:

Consumer behaviors is the action and the decision process of the people who buy goods and services for their consumption that is why it is related to buying activities.

Consume behavior entertains the behavior of the consumer activities which is linked with the use, purchase, and consumption of goods and services, this behavior also includes mental and emotional behavior of the consumer.

Consumer behaviour is the way that forces shape people's place and time utility. Hence, option B is correct.

Consumer behaviour refers to the activities related to buying goods and services, as well as the influence of factors such as place and time utility, culture, and society on these actions.

It's interesting to observe how these forces shape people's purchasing decisions and preferences.

From understanding consumer preferences to studying the impact of cultural norms, consumer behaviour provides valuable insights into how individuals interact with the market.

Hence,

Option B. Place and time utility is correct.

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Round the following numbers to 1 decimal place.
a)
27.564
b)
978.299
c)
42.935
d)
8.99

Answers

Answer:

a)27.6

b)978.3

c)43.0

d)9.0

a) 27.6

b) 978.3

c) 42.9

d) 9.0

9. The upper atmosphere of Neptune can get as cold as
-218°C. The inner core of the planet can be as hot
as 7,000°C. What is the difference between the two
temperature extremes?​

Answers

Answer: 7218

Step-by-step explanation: i mean you just add them up chief think of a number line that whole space between them

Where do I plot those fractions

Answers

Answer:

plot decimal values

Step-by-step explanation:

One approach is to convert them to decimal using your calculator or long division:

3/4 = 0.75

7/9 ≈ 0.78

1/2 = 0.50

2/3 ≈ 0.67

Since the number line has 0.1 increments, you can place each value in between the right increments. For instance 3/4 you place between 0.7 and 0.8. You place it halfway because 0.75 is halfway between 0.7 and 0.8. It's ok to estimate the exact location in this case.

Answer:

Step-by-step explanation:

How to simplify 20/10

Answers

In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.

[tex]\frac{20}{10}[/tex]

[tex]CF=10[/tex]

[tex]20\div10=2[/tex]

[tex]10\div10=1[/tex]

[tex]\frac{2}{1} =2[/tex]

[tex]= \frac{2}{1} or2[/tex]

Therefore the answer is "2."

Hope this helps.

The following expression models the total cost of the field trip ,where x represents the number of students 80r What does the constant term in the above expression represents?

Answers

Answer:

no of students by cost per student?

Answer:The cost of the if 0 students signed up

Step-by-step explanation:I got the answer right :)

If you solve using the equation for the constant of proportionality, y/x = k, with k=4/5 and y = 2/3, what is the value of x?
A. X = -2/15
B. X = 8/15
C. X = 5/6
D. X = 1 1/5

Answers

[tex]\bf \cfrac{y}{x}=k\qquad \begin{cases} k=\frac{4}{5}\\ y=\frac{2}{3} \end{cases}\implies \cfrac{~~\frac{2}{3}~~}{x}=\cfrac{4}{5}\implies \cfrac{2}{3}(5)=4x\implies \cfrac{10}{3}=4x \\\\\\ \cfrac{10}{12}=x\implies \cfrac{5}{6}=x[/tex]

Final answer:

In this problem, we solve for 'x' in the equation for constant of proportionality, 'y/x = k', given that 'y' is 2/3 and 'k' is 4/5. Substituting these values in the equation and solving for 'x' gives the result 5/6.

Explanation:

The question refers to the concept of the constant of proportionality which is a key topic in mathematics. We have an equation, y/x = k, where k is the constant of proportionality. Here, we have been given that y = 2/3 and k = 4/5. If we substitute these values into the equation, we will be able to solve for x.

To solve for x, we rearrange the equation by multiplying both sides by x and then dividing by k. This leaves us with an equation in terms of x: x = y/k. Substituting the given values, we get x = (2/3) / (4/5) = 5/6. So, the correct answer according to the provided options is C. X = 5/6.

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Please help! The following table shows the number of feet a helicopter flies above the ground as a function if time
Find and interpret the meaning of the x -interpret in this scenario
(10,0) the time it takes for the helicopter to reach the ground
(18,0) the time it takes the helicopter to take off
(10,0) the time it takes the helicopter to take off
(18,0) the time it takes for the helicopter to reach the ground

Answers

Answer:

18,0 the time it takes or the helicopter to reach the ground.

Step-by-step explanation:

if you look at the table, it slowly is decreasing, therefore it is going towards the ground.

Answer:  The correct option is

(D) (18,0) the time it takes for the helicopter to reach the ground.

Step-by-step explanation:  Given that the table shown in the picture gives the  number of feet a helicopter flies above the ground as a function of time.

We are to find and interpret the meaning of the x -interpret in this scenario.

From the table, we note that

the graph of function f(x) will pass though the points (0, 18) and (2, 16).

So, the slope of the line graph of f(x) is

[tex]m=\dfrac{16-18}{2-0}=\dfrac{-2}{2}=-1[/tex]

Since the line passes through the point (0, 18), so its equation will be

[tex]y-18=m(x-0)\\\\\Rightarrow y-18=-1\timesx\\\\\Rightarrow y=-x+18.[/tex]

Now, to find x-intercept, we need to substitute y = 0 in the equation of the line.

So, at y = 0, we get

[tex]0=-x+18\\\\\Rightarrow x=18.[/tex]

Therefore, the required x-intercept is (18, 0) and is shows that the time taken by the helicopter to reach the ground is 18.

Thus, option (D) is CORRECT.

find the value of x and y. y=2x and 1.85x+3.7y=12.95

Answers

Answer:

x=1.4 y=2.8

Step-by-step explanation:

Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.

Simplifying by combining x: 9.25x=12.95

Then you just divide 12.95 by 9.25: x=1.4

Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.

Higher Order Thinking Suppose that solving
a system of equations algebraically gives the
following result: 0 = 0
What does this mean graphically?

Answers

Answer:

It means it's an infinite solution.

Is that what you meant? I apologize if it wasnt.

Since the system of equations algebraically gives this result: 0 = 0, graphically it means it has infinitely many solution.

What are infinitely many solutions?

In Mathematics and Geometry, an equation is said to have an infinitely many solution (infinite number of solutions) when the left hand side and right hand side of the equation are the same or equal.

By critically observing the solution to the system of equations, we can reasonably infer and logically deduce that it has infinitely many solution (infinite number of solutions).

In conclusion, every point located on the graph of this line would satisfy the equation as shown in the image attached below.

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Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips She made a total of $93 Write and solve an equation to determine how many hours she worked

Answers

Answer:worked 7 hours

Step-by-step explanation:

93 - 65 = 28

28/4 = 7 hours

Michelle worked for 7 hours on the weekend night based on the equation 4h + $65 = $93, where h represents the number of hours worked.

How many hours she worked?

Let's denote the number of hours Michelle worked as "h". She earned $4 per hour for her work, so the total amount she earned from her hourly wage is 4h. Additionally, she earned $65 in tips.

So, the total amount she made can be represented by the equation:

Total earnings = Hourly wage + Tips

$93 = 4h + $65

Now, we can solve for the number of hours Michelle worked:

4h + $65 = $93

Subtract $65 from both sides:

4h = $93 - $65

4h = $28

Now, divide both sides by 4 to solve for "h":

h = $28 / 4

h = 7

Michelle worked for 7 hours on that weekend night.

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A function that has y-values with more than one corresponding x-value is
called a:

Answers

Answer:

Im not sure what the answers are on your test but its usually called a domain.

-

-

-

Let me know what the possible answers are if it is a multiple choice question!

Step-by-step explanation:

Answer: many-to-one function

Step-by-step explanation:

A few years ago. Sarah acquired a parcel of land valued at $16,500. Today, that same parcel of land has a value of $17.820. Find the percent increase in the property's
value. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

8%

Step-by-step explanation:

Use formula

[tex]\text{Percent increase}=\dfrac{\text{New value - Old value}}{\text{Old value}}\cdot 100\%[/tex]

Old value = $16,500

New value = $17,820

Hence, the percent increase is

[tex]\dfrac{\$17,820-\$16,500}{\$16,500}\cdot 100\%=\dfrac{\$1,320}{\$16,500}\cdot 100\%=\dfrac{8}{100}\cdot 100\%=8\%[/tex]

0.08 is equal to 8%, the percent increase in the value of the property is 8%.

First, calculate the increase in the value of the property:

increase = 17820 - 16500

        = 1,320

Next, calculate the percent increase by dividing the amount of the increase by the original value of the property and multiply by 100%:

percent increase = (1320 / 16500) * 100

percent increase = 0.08

Since 0.08 is equal to 8%, the percent increase in the value of the property is 8%.

Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) os located at (-2,1). What is the distance from B to B'?

Answers

Answer:

The distance from B to B' is 5 units

Step-by-step explanation:

The complete question is

Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?

we know that

In a translation the figure maintains its dimensions and internal angles

so

AA'=BB'=CC'=DD'

The distance BB' is the same that the distance AA'

Find the distance AA'

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

A(1,5),A'(-2,1)

substitute in the formula

[tex]AA'=\sqrt{(1-5)^{2}+(-2-1)^{2}}[/tex]

[tex]AA'=\sqrt{(-4)^{2}+(-3)^{2}}[/tex]

[tex]AA'=\sqrt{25}[/tex]

[tex]AA'=5\ units[/tex]

therefore

The distance from B to B' is 5 units

HELP I WILL GIVE BRAINLIEST
Brianna practices the piano 30 minutes per day.
a. Write an expression for the number of hours she practices in d days.
b. Find the number of hours Brianna practices in 2, 4 and 10 days.

Answers

Hey!

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

Part A:

30d (30 * d)

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

Part B:

Using the expression 30d we can solve how much time Brianna spent playing piano.

30(2) = 60 minutes (1 hour) in 2 days

30(4) = 120 minutes (2 hours) in 4 days

30(10) = 300 minutes (5 hours) in 10 days

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

Hope This Helped! Good Luck!

Answer with Step-by-step explanation:

Brianna practices the piano 30 minutes per day.

1 hour = 60 minutes

or 1 minute = 1/60 hour

30 minutes = 30/60 hours

                   = 0.5 hour

i.e. Brianna practices the piano 0.5 hours per day.

a. 0.5 hours per day means

   0.5d hours in d days

Expression for the number of hours she practices in d days is: 0.5d

b.  Number of hours she practices in 2 days = 0.5×2=1 hour

    Number of hours she practices in 4 days = 0.5×4=2 hours

    Number of hours she practices in 10 days = 0.5×10=5 hours

calculate the exact value of
26.32+38.8/13.10- 11.56​

Answers

the answer is 17.7218320611

Answer:

Step-by-step explanation:

28.32+38.8=65.12

13.10-11.6=1.56

65.12/1.56=41.7435897

three times a certain number is 46 more than the number itself. Find the number.​

Answers

Answer:

23

Step-by-step explanation:

3x=x+46

2x=46

x=23

23*3=69

23+46= 69

The number three times a certain number is 46 more than the number itself is 23.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the number be x :

then, three times the number will be = 3x

46 more than the number itself will be  = x+46

Now it is given that three times a certain number is 46 more than the number itself that is :

3x = x +46

3x-x = 46

2x = 46

x = 46/2

x =23

Therefore, the number three times a certain number is 46 more than the number itself is 23.

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Estimate the difference between 957-639

Answers

Answer:

320

Step-by-step explanation:

When estimating, you have to round numbers to make them easier to work with.

957 becomes 960

639 becomes 640.

960 - 640 = 320

Answer:

Step-by-step explanation:

Garland put 2b+ 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank. If he now has $477 in Thebes bank, how much did he put in the bank the first week?

Answers

1st week: 2b + 3
2nd week: 2(2b + 3) = 4b + 6
3rd week: 2(4b + 6) = 8b + 12
If 8b + 12 is $477, $477 - 12 must be 8b. $477 - 12 = $465 / 8 = $58.125 / .13
2b + 3 = 2 x 58.13 + 3 = $116.26 + 3 =
$119.26 is your answer

You and three friends go to a restaurant for dinner. you share three appetizers that cost $6 each. You also share two desserts that cost $3 each. You split the total bill evenly. How much does each person pay?

Answers

So you add 18 and 6 that’s 24 then divide it by 4 because you and your friends go and that would be 5

Answer:

So you add 18 and 6 that’s 24 then divide it by 4 because you and your friends go and that would be 5

Step-by-step explanation:

The present value of a house is $242.000. The value of the house increases at the rate of
every year. A function is shown below
10%) = 242.000(1.047
What does f(x)represent?

Answers

Answer: The future value of the house after x years

Step-by-step explanation:

How?? U have to simplify but how?

Answers

[tex]\bf \sqrt{49}+(3+2)^2\implies \sqrt{49}+(5)^2\implies \sqrt{49}+25\implies 7+25\implies 32[/tex]

Answer: 43

Step-by-step explanation:

You have to use P.E.M. D.A.S. (Parentheses, Exponents, multiplication, division, addition, and subtraction.)

Starting with parentheses, 3+2= 6

Moving onto exponents, 6 squared is thirty six. Square roots, being the opposite of squares, are also done here. The square root of 49 is 7.

Now you add. 36 +7

The answer should be 43, unless I’m mistaken.

A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]​

Answers

Step-by-step explanation:

let (-2,4)=(x1,y1)

given eqn: y=4x+11

comparing with y=mx+c

slope (m)=4

now using point and slope form,

(y-y1)=m (x-x1)

(y-4)=4 (x+2)

y-4=4x+8

4x-y+12=0 is required eqn.

Answer:

slope: 4

y - 4 = 4(x + 2)

y - 4 = 4x + 8

y = 4x + 12

Follow the steps to find the quotient. Please help !

Answers

Answer:

41

Step-by-step explanation:

1. Look at the first digit and ask yourself: is this divisible by 8? (3 is not so you look at the next one)

2. 8 goes into 32 evenly 4 times (put 4 at the top)

3. Subtract 42

4. Drag down the 8

5. Does 8 go into 8? (Yes!)

6. Put one at the top and subtract to get zero

7. Answer is at the top: 41

Answer:

Nothing goes into 3

8 goes into 32  four times (8 times 4= 32) so that means you'd put 4 on top of 2

then you bring down the 8 and 8 goes into 8 once. (8 times 1= 8) so you'd put 1 on top of 8.

Now down below you'd put 32 below 32 since you subtract it.

I'm not sure what the 3 bottom ones are.

I think you'd put 8 in the first  boxes then 0 cause 8=8 = 0.

good luck <3

answer is 41 <3

Which expression should replace the word numerator in the work shown

Answers

May you post a pic of the work?

B: x-5 is expression should replace the word “numerator” .

3y2 + 2xy + 1 + 3x + y + 2x2​

Answers

Answer:

Simplified, it would be 2x^2+2xy+3y^2+3x+y+1 so that's your answer.

The given expression can not be simplified further.

The given expression is 3y² + 2xy + 1 + 3x + y + 2x².

What is an expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, the given expression can not be simplified further.

The degree of the given expression 3y² + 2xy + 1 + 3x + y + 2x² is 2.

Here, the coefficient of y² is 3, the coefficient of xy is 2, the coefficient of x is 3, the coefficient of y is 1 and the coefficient of x² is 2.

Hence, the given expression can not be simplified further.

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Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Answers

Final answer:

To find the radius of the circle, we can use the properties of a right triangle to solve for GH. GH is approximately 10.39cm.

Explanation:

To find the radius of the circle, we can start by observing that the angle GHJ is 15°, and the side GK is 6cm. Since GK is a radius of the circle and it is perpendicular to JH, we can conclude that JH is a diameter of the circle. So, the length of JH is twice the length of GK, which is 12cm.

Now, we can use the properties of a right triangle to find the radius of the circle. We have a right triangle GHJ, where GH is the radius of the circle and JH is the hypotenuse. Using the Pythagorean theorem, we can solve for GH:

GH^2 + GK^2 = JH^2

GH^2 + 6^2 = 12^2

GH^2 + 36 = 144

GH^2 = 108

GH = sqrt(108)

GH ≈ 10.39cm

The radius of the circle is approximately 10.39cm.

Which of the following is equivalent to the complex number i^{34}

Choose 1 answer:

(Choice A) 1

(Choice B) i

(Choice C) -1

(Choice D) -i

Answers

Answer:

Choice C, -1

Step-by-step explanation:

The trick here is to look at this as a pattern.

[tex]\sqrt{-1}[/tex] is i to the 1st power.

[tex]-1[/tex] is i to the 2nd power.

[tex]-\sqrt{-1}[/tex] is i to the 3rd power.

[tex]1[/tex] is i to the 4th power.

So what we do to solve something like this is divide the power by 4, and see how far away the number is from the pattern.

In other words, we divide, and our remainder is how many powers to count up to (a remainder of 0 is the 4th power).

So 34/4 = 8 with a remainder of 2. Therefore, it's i to the 2nd power, which is -1.

Please answer this correctly

Answers

Lauren is the answer

Answer:

Ashley

Step-by-step explanation:

William scored more than Riley

So William>Riley

Ashley scored fewer than Riley

So William>Riley>Ashley

Lauren scored more than William

So Lauren>William>Riley>Ashley

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Select location using number line -1 3/10 + 2/5 why might an individual pursue a career in education and training career cluster pursue a career helpppppp Which neurotransmitter inhibits CNS activity in order to calm a person down during stressful situations? Is this punctuation correct? On March 21, 1985, our community held its bicentennial. i need the answer to 6^7(-2)^7 Write 1.888... as a mixed number in simplest form Dr. Chopra is running a memory experiment using fMRI. One participant is asked to remember a particular set of directions, and Dr. Chopra notices that the occipital lobe is particularly active during the task. The participant is MOST likely using _____ encoding. A form of reasoning called_ is the process of forming general ideas andrules based on your experiences and observations. A gene (gene X) undergoes a mutation which converts if from wild-type to mutant. Then a second mutation in the gene Y occurs which causes the wild-type phenotype of the first gene (gene X) to be restored. Respectively, what are the appropriate designations for the two mutational events?a. forward mutation, back mutationb. forward mutation, suppressor mutationc. reverse mutation, back mutationd. reverse mutation, suppressor mutatione. reverse mutation, forward mutation Write whether each expression is a monomial or a binomial. a.3y b.(-9)+h c. wr+5wr d. -7agh e.2 f.k+12 Define a basis of a vector space This step of the general plan, sometimes known as the master plan, should encompass all aspects of the projected growth, including the social, economic, and physical features. Due to this step, while considered long-range, the plan must allow for short-range flexibility. Which step is described? After the War of 1812, there was a surge of _________ in the United States.A.national reinforcementB.national disunityC.national shameD.national pride 10Select the correct answer.Which is the best example of a topic that is too broad?A.Processed foods cause health issues for people with weak immune systems.Consuming processed foods can affect people's moods.C.Research shows processed foods can be unhealthy.D. Consuming processed foods has a negative effect on people's health over time. -2x + 2y = 6 and 4x + 2y= -5 solve by substitution One trail through the park is 6.45 miles long. Another trail is 2.08 miles longer than the first trail. What is the combined distance of both trails What minerals are the most common in sediments and sedimentaryrocks? Give multiple reasons why they are most common. Use DeMorgan's laws to write a negation for the statement "the Hulk is green or the Iron Man is red" Determine the maximum mass of the crate sothat the tension developed in any cable doesnot exceeded 8.6 kN. (Figure 1)Express your answer to three significantfigures and include the appropriate units. Draw a flowchart to represent the logic of a program that allows the user to enter values for the current year and the users birth year. The program outputs the age of the user this year.