What is the inverse of y equals x squared + 2

Answers

Answer 1
to get the inverse relation of any expression, simply start off by doing a switcharoo on the variables, and then solve or "y".

[tex]\bf \boxed{y}=\boxed{x^2}+2\qquad inverse\implies \boxed{x}=\boxed{y^2}+2 \\\\\\ x-2=y^2\implies \sqrt{x-2}=y\impliedby f^{-1}(x)[/tex]

Related Questions

Three tables are placed side by side. One table is 2 feet 9 inches wide, another is 4
feet 8 inches wide, and the third is 6 feet 11 inches wide. How wide are they combined?
Write your answer in feet and inches. Use a number less than 12 for inches

Answers

Final answer:

The combined width of the three tables is 14 feet 4 inches, calculated by first converting each table's width to inches, adding them together, and then converting the total back to feet and inches.

Explanation:

To find the combined width of the three tables placed side by side, you need to add the widths together. First, convert all measurements to inches, add them, and then convert back to feet and inches.

Table 1: 2 feet 9 inches = (2 × 12) + 9 = 24 + 9 = 33 inches

Table 2: 4 feet 8 inches = (4 × 12) + 8 = 48 + 8 = 56 inches

Table 3: 6 feet 11 inches = (6 × 12) + 11 = 72 + 11 = 83 inches

Now, add the inches: 33 + 56 + 83 = 172 inches.

To convert 172 inches back to feet and inches, divide by 12 (since there are 12 inches in a foot): 172 ÷ 12 = 14 feet 4 inches (since 172 divided by 12 is 14 with a remainder of 4).

Therefore, the combined width of the tables is 14 feet 4 inches.

A baseball manager has 12 players of the same ability how many nine player starting lineup starting create

Answers

that is 12*11*10*9*8*7*6*5*4=79833600 ways

Which lines are Parallel? Justify your answer

Answers

Answer:

Lines e and f are parallel since their alternate exterior angles 75 ad 75 are congruent.

Step-by-step explanation:

Parallel lines mean that angle relationships exits where specific angles are congruent to each other. 75 and 75 are in the position of alternate exterior angles for lines e and f. Since they are congruent, these lines must be parallel. However, a and b have same side exterior angles which must add to 180. 75 + 115 does not equal 180. It equals 190. Therefore a and b cannot be parallel.

Answer:

E and F on edgenuidy

Step-by-step explanation:

did it rn

Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression: 75 + 25w + 35m Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points) Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why?

Answers

Saving = $75 + 25.w + 35.m

A. 75 = constant, since it's a deposit not related to any transaction
w and m are 2 variables
25 and 35 are 2 coefficient to w and m respectively

B. Saving = 75 + 25(8) + 35(2)
Saving = $345

C. If Ellen had $95 instead of $75, we will just replace $75 with $98, this will NOT AT ALL AFFECT neither the duration (number of weeks) nor the number of times she mows the loan. Only previously said ONLY The Coefficient will change

-----------------------------------------
A coefficient is the '25' in 25m
A variable is the 'm' in 35m                 <-------- Part A
A constant is the 75.
-----------------------------------------
8x25=200
35x2=70                                        <----------- Part B
200+70=270+75=345
Ellen will have $345.
-----------------------------------------
Yes, but only the constant would change. 
The new expression would be: 95+25w+35m.                              <----- Part C
The coefficient and variable wouldn't change because she still
deposits $25 a week and gets $35 every time she mows the lawn.

1 gallon of paint pour the paint into a paint tray that measures 10 inch wide 10 inch long and 7 cm deep what will happen

Answers

1 gallon = 231 cubic inches

7cm = 2.75591 inches ( round to 2.76 )

10 x 10 x 2.76 = 276 cubic inches

there will be more than enough room for the gallon of paint

276-231 = 45 cubic inches of space left over

Which of the following points lies on the line y = x + 1?

A. (2,3)

B. (2,-3)

C. (-2,3)

D. (-2,-3)

Answers

The only answer is A.

The answer is a.
2 + 1 = 3
3 = 3

Write 800 as a product of its prime factors

Answers

800=
2*400
2*2*200
2*2*2*100
2*2*2*2*50
2*2*2*2*2*25
2*2*2*2*2*5*5

Final answer: 800=2^5 * 5^2

Process average or mean: is computed by dividing the total of the measurements made on the process by the number of measurements used to compute the total approximates the center of the distribution of measurements made on the process a measure of

Answers

Process average or mean is computed by dividing the total of the measurements made on the process by the number of measurements used to compute the total approximates. For example a coach wants to know if football players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. After counting them, add the scores of the group that he divided and then divided it by the number of player in that group to get an average score on teams that warm up or do not warm up before the game. 

Given: F(x) = 3x 2 + 1, G(x) = 2x - 3, H(x) = x

Answers

I think it's 2(x+3).


Answer: 2(x+3)



paralyzed;live

In 1996, funding for a program increased by 0.62 billion dollars from the funding in 1995. In 1997, the funding increased 0.29 billion dollars over the funding in 1996. For those three years, the funding was 11.25 billion dollars. How much was funded in each of these three years?

Answers

1995 = x
1996 = x + 0.62
1997 = x + 0.62 + 0.29

x + x + 0.62 + x + 0.62 + 0.29 = 11.25
3x + 1.53 = 11.25
3x = 11.25 - 1.53
3x = 9.72
x = 9.72 / 3
x = 3.24 <== 1995 = 3.24 million

1996 = 3.24 + 0.62 = 3.86 million <==
1997 = 3.24 + 0.62 + 0.29 = 4.15 million <==

A square has an area that is less than 100m^2. What is a reasonable range for the graph of the squares side

Answers

In algebra, an equation is always formed by at least two variables: the dependent and independent. The independent variable are the ones you manipulate, or the ones you could directly measure. In this case, the independent variable is the side length. The dependent variable is the one that changes with the independent variable - which is the area. The equation for the area of the square is:

A = s^2, where s is the side length of the square

So, when the area does not exceed 100 m^2, then the upper limit is 100. Thus, the maximum side should be

100 > s^2
s < 10 m

The range is the coverage of the dependent variable. With that being said, the range is therefore from 0 to 100 square meters. Negative values are impossible so the lower limit is 0.

Which is a correct first step for solving this equation?

2x−1(5−3x)=4x+2

Answers

i would start by distributing the (-1) through the (5-3x)

2x-5+3x=4x+2
(combine like terms)
5x-5=4x+2
(move the x to the left side of the equation by subtraction)
x-5=2
(then of course we isolate the x by adding the 5 to the right side)
x=7

then you can check your work by replacing all of the x's with 7
2(7)-1(5-3(7))=4(7)+2
14-1(-16)=28+2
14+16=30
30=30

hope this helps!

If the odds of the steelers beating the chiefs are 7 to 4, what is the probability of this event happening?

Answers

Probability of the event is a number between 0 and 1.
Probability of the event = ( Number of ways it can happen ) : ( Total number of outcomes )
If the odds are 7 to 4:
- number of ways it can happen: 7.
- total number of outcomes : 7 + 4 = 11
Probability = 7 : 11 = 7/11 = 0.6364
Answer: The probability of this event is 0.6364 or 63.64%.

In 2008, there were 6.7 × 109 people living on earth. What is that number in standard notation?

A.) 6,700,000
B.)6,700,000,000
C.)67,000,000
D.)67,000,000,000

Answers

Answer:

B) 6,700,000,000 people.

Step-by-step explanation:

We have been given that in 2008, there were [tex]6.7\times 10^9[/tex] people living on earth. We are asked to convert our given population in standard notation.

While changing scientific notation to standard notation we just move the decimal as many times as the exponent indicates. We can see that our exponent is 9, so we will move the decimal to 9 places right.

[tex]6.7\times 10^9=6.7\times 1000000000[/tex]

[tex]6.7\times 10^9=6700000000[/tex]

Therefore, there were 6,700,000,000 people living on earth and option B is the correct choice.

Answer:

B.)6,700,000,000

Step-by-step explanation:

SO when you have to transform from the scientific notation into standar notation, you just have to move the decimal point to the right the number of positions that the scientific notation has as the exponent, in this case it is 9, so you move one position the decimal point to the right to make the number 67, and then add 8 zero´s to the right:

6,700,000,000

As you can see you moved the decimal point 9 positions to the right.

So that´s how you can convert scientific notation to standard notation.

Today only, a table is being sold for $333 . This is 74% of its regular price. What was the price yesterday?

Answers

The table was being sold at $450 yesterday

How many ounces are there in a gallon?

and how would I come about solving this?..

Answers

1 gallon = 159.9998 fluid ounce.

But 159 should be accurate enough.
1 US gallon= 128 Us fluid ounces

Explain why the functions with the given graphs can't be solutions of the differential equation dy dt = et(y − 1)2.

Answers

Please see attached document for the graphs:

 

The functions with the given graphs can't be solutions of the differential equation dy dt = et(y − 1)2.

(a) won’t work, since it has negative slope on portions of its solutions. The slope, e t (y − 1)2 , is a nonnegative function.

 

(b) won’t work, since it has positive slope at y = 1, where the slope must be flat.

Final answer:

Functions with given graphs cannot be solutions to the differential equation dy / dt = e^t(y-1)^2 because their graphs don't satisfy the conditions imposed by the equation, such as non-oscillatory behavior and non-linear variation with time.

Explanation:

The question pertains to why certain functions represented by their graphs cannot be solutions to the differential equation dy / dt = et(y-1)2. The explanation lies in the structure of the given differential equation and the properties of function graphs.

Equation dy / dt = et(y-1)2 is a non-linear first order differential equation. To be a solution to this equation, a function's graph must satisfy certain conditions imposed by the equation. However, if certain function graphs represent an undefined curve or if their graphs demonstrate oscillatory behavior, they do not satisfy these criteria.

For instance, the differential equation demands non-oscillatory behavior as seen in the general solution provided in the reference: Yn(x) = Ce-Bx +De+Bx. This form describes a gradual attenuation of y(x), i.e., it does not oscillate. Similarly, if a graph represents a function that varies non-linearly with time (like In[A] vs. Time), it does not represent a solution to the differential equation as well.

Thus, the inability of certain function graphs to satisfy the conditions required by the given differential equation is the reason they cannot be its solutions.

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square root of 4 plus 45 over 4 plus 125 over 25

Answers

I find it easier to write it instead of typing so look at the picture above

A 250 ml glass of orange juice contains 22 grams of sugar. how much sugar is in a two-liter (2,000 ml) bottle of orange juice?

Answers

250 / 22 = 2000 / x....250 ml to 22 grams = 2000 ml to x grams
cross multiply
(250)(x) = (2000)(22)
250x = 44,000
x = 44,000/250
x = 176 grams of sugar <==

Orange juice contains some amount of sugar in it. There is 176 g of sugar present in a 2000 ml bottle of orange juice.

Given:

A 250 ml glass of orange juice contains 22 grams of sugar.

It is required to calculate the amount of sugar present in the 2000 ml bottle of juice.

Now, the amount of sugar present in 1 ml of juice will be,

[tex]\dfrac{22}{250}=\dfrac{11}{125}\rm \; g[/tex]

So, the amount of sugar in 2000 ml of juice will be,

[tex]\dfrac{11}{125}\times 2000=11\times 16\\=176\rm \; g[/tex]

Therefore, there is 176 g of sugar present in a 2000 ml bottle of orange juice.

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Can the remainder in a division problem ever equal the divisor? Why or why not

Answers

No.  If it does then it means that it can go into the number one more time.

8/4=1 r 4

answer should be 2

the equation of a curve is xy=12 and the equation of a line l is 2x+y=k where k is a constant .In the case where k=11 find the coordinates of the points of intersection of l and the curve.

Answers

equations are xy=12 and 2x+y=11

solve one for either x or y, and plug it into the other one to get coord.  I'll solve for x.

I first solve the problem on the left for y, and plug it into the second one, giving me only one variable to solve for.  solving left for y is y=12/x

Plug new y value into second equation and solve for x.
2x +12/x=11
mult both sides by x to clear denominator.  You get...
2x^2-11x+12=0
now factor and get (2x-3)(x-4)
Make them both equal to zero and solve for x.  
You get x=3/2 and x=4
Plug these into your original xy=12 equation to get the corresponding y coordinate for that specific x value.  You get 
(3/2, 8) and (4,3).  Your lines intersect twice, at these two points.

The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].

According to the statement, we get the following nonlinear system of equations:

[tex]x\cdot y = 12[/tex] (1)

[tex]2\cdot x + y = 11[/tex] (2)

Now we proceed to solve for each variable by algebraic means. By (1):

[tex]y = \frac{12}{x}[/tex]

Then we apply the formula in (2):

[tex]2\cdot x + \frac{12}{x} = 11[/tex]

[tex]2\cdot x^{2}+12 = 11\cdot x[/tex]

[tex]2\cdot x^{2}-11\cdot x +12 = 0[/tex]

Roots are found by the quadratic formula and (1):

[tex]x_{1} = 4[/tex], [tex]y_{1} = 3[/tex]

[tex]x_{2} = 1.5[/tex], [tex]y_{2} = 8[/tex]

The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].

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A triangle is dilated by a scale factor of n = 1/3 . Which statement is true regarding the dilation?


It is a reduction because n > 1.

It is a reduction because 0 < n < 1.

It is an enlargement because n > 1.

It is an enlargement because 0 > n > 1

Answers

Answer: The second statement is true. It is a reduction because 0 < n < 1.


Step-by-step explanation:

Given: A triangle is dilated by a scale factor of n = 1/3 .

as n is less than 1 but greater than 0.

A dilation is a rigid transformation that forms an image that is the same shape as of the original figure, but with a different size.  A dilation transform a figure by scalar factor 'n' about the center of dilation is a fixed point in the plane which never change.

A dilation that forms a larger image is known as enlargement.  A dilation that forms a smaller image is known as reduction.

• If n is greater than 1, then the image is an enlargement.

• If n is between 0 and 1, then the image is a reduction .

• If n is 1, the figure and then the image are exactly same.

Answer:

2nd statement

Step-by-step explanation:


If the unit selling price is $2.50 and the unit cost is $1.00, what action is need to maintain the gross margin percentage when unit cost increases $0.25

Answers

$2.50 / $1.00 = 2.5.
If the cost increases to $1.25 then the selling price needs to increase to $1.25 x 2.5 = $3.13

Simplify 1/3(9a+b)-1/2(4a+2b)

Answers

1/3 x 9a then 1/3 x n plus -1/2 x 4a the -1/2 x 2b the add the two b's together then add the two a'S together the write _a + _b
1/3(9a+b) - 1/2(4a+2b) = (1/3)(9a+b) - (1/2)(4a+2b)
                                     = (1/3).9a + (1/3)b - [(1/2).4a + (1/2).2b]
                                     = 3a + b/3 - 2a - b
                                     = a + (1/3 - 1)b
                                     = a - (2/3)b

Y=0, what is x when y=x^2-6x+9

Answers

y = 0

x = ?

y= x^2 -6x +9

0 = x^2 - 6x +9
     (x             -3)
     (x             -3)

(x-3)(x-3)

x = 3

y = 3^2 - 6(3) + 9
y = 9 - 18 + 9
y = 18

Answer
x= 3, y = 18

hope this helps :D

how do I solve 12-3(x-5)=21

Answers

12-3(x-5)=21

Distribute
12-3x+15=21

Combine like terms
27-3x=21

Subtract 27 from both sides
-3x= -6

Divide both sides by -3
x=2

Final answer: x=2

you are dealt one card from a standard 52 card deck. Find the probability of being dealt a heart

Answers

13 hearts

 a 13/52 probability.

that reduces to a 1/4 probability of getting a heart

you have a 13 out of 52 chance because there are 13 cards of each section spades,hearts,ect.

A pool can be filled by one pipe in 4 hours and by a second pipe in 12 hours. How long will it take using both pipes to fill the pool?

Answers

1/t=1/4+1/12=(3+1)/12=4/12=1/3
t=3 hour

The individual pipes can fill the pool in 4 hours and 12 hours respectively then using both pipes together, it will take 3 hours to fill the pool.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Give that,

One pipe can fill the pool in 4 hours.

Another pipe can fill the pool in 12 hours.

The first pipe fills the pool in 4 hours,

So its rate is 1/4 of the pool per hour.

Similarly,

The second pipe fills the pool in 12 hours,

So its rate is 1/12 of the pool per hour.

To find the combined rate, when both pipes are used together,

Add their individual rates:

(1/4 + 1/12)  = 3/12 + 1/12 of the pool per hour.

(1/4 + 1/12)  = 1/3 of the pool per hour.

Now, to find the time it takes to fill the pool using both pipes,

Take the reciprocal of the combined rate,

1 / (1/3) = 3 hours.

Hence,

Using both pipes together, it will take 3 hours to fill the pool.

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Among 170 households surveyed, 44 have a video camera, 40 have a snapshot camera, 51 have binoculars, 9 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, and 5 have all three products. what is the probability that a household will have a snapshot camera or binoculars? express the answer as a fraction.

Answers

it would be 48 would be

boiling point of water is 212 Fahrenheit Paul wants to boil water to make pasta right now he only has ice which is at a temperature of -4 degrees how many degrees must Paul change the temperature of the water for it to become boiling water

Answers

He must change it 216 degrees fahrenheit before the water boils. 
Final answer:

Paul must increase the temperature by 216 degrees Fahrenheit to boil his ice and be able to cook his pasta.

Explanation:

Paul needs to raise the temperature of the ice he has from -4 degrees Fahrenheit to the boiling point of water, which is 212 degrees Fahrenheit. To determine how many degrees Paul needs to change the temperature, we subtract the current temperature of the ice from the desired temperature to boil water. Here is the step-by-step calculation: Subtract -4 from 212. The result is that Paul needs to increase the temperature by 216 degrees Fahrenheit for the ice to reach the boiling point and cook his pasta.

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