ASAP! find the inverse of the function y=2x^2+2

a.y=√x-2
b.y=√1/2x-1
c.y=√2x^2-4
d.y=√1/2x-1​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We want to find the inverse of the function:

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

To find the inverse of a function, we will flip the variables and solve for y. So:

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

Solve for y. Subtract two from both sides:

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

Divide both sides by two:

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

And take the principal square root of both sides. Therefore:

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


Related Questions

Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have side
lengths 1 cm?

Answers

Answer:

First one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

peter is 13 years old peters father is 6 years more than twice her age. how old is Peter's father​

Answers

Answer:

32 years old.

Step-by-step explanation:

13 times 2 is 26, and 6 added to 26 is 32.

I hope this helps, have a nice day.

Hurry plz what is the following prouduct?

Answers

Answer:

2nd one

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

A

Step-by-step explanation:

Evaluate the function graphically. Find (-6)

Answers

Answer:

5

Step-by-step explanation:

just see where x=-6

The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
5

Answers

Answer:

x = 10

Step-by-step explanation:

In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.

PLEASE I NEED HELP! ILL GIVE BRAINLIEST!

Answers

Answer:

Your answer is correct

Step-by-step explanation:

B. 112 degrees

Answer:

x = 112

Step-by-step explanation:

x and 68 are supplementary angles so they add to 180

x+68 = 180

x = 180 -68

x = 112

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has an approximate normal distribution with mean 50 and a standard deviation 10. Use the Empirical Rule to determine the approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70.

Answers

Answer:

The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 50, standard deviation = 10.

Between 20 and 70.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

20

20 = 50 - 3*10

So 20 is 3 standard deviations below the mean. Of the 50% of the measures below the mean, 99.7% are within 3 standard deviations of the mean, that is, above 20.

70

70 = 50 + 2*10

So 70 is 2 standard deviations above the mean. Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, that is, below 70.

Percentage:

0.997*50% + 0.95*50% = 97.35%

As a proportion, 97.35%/100 = 0.9735.

The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.

A bag contains 6 blue coins and 7 red coins. A coin is removed at random and replaced by three of the other color.


Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction.

The probability that the removed coin is blue is ———

Answers

1/4 or maybe even 100grams of blow

Please help me I beg you, I don’t understand and no one wants to help

Answers

Answers:

x = 51

y = 39

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

Explanation:

The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.

One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.

Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y

x+y = 90

51+y = 90

y = 90-51

y = 39

Is this a function?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

For the graph to represent a function, no vertical line may intersect it in more than one place. This graph does not pass the "vertical line test" so does not represent a function.

The cost of a large cake at a bakery is $21.00. The cost of a small cake is
$8.25. The bakery also charges a sales tax of 8.25% and a delivery cost of
$10.50 for each order. The following expression represents the cost of an
(1) order
1.0825(21x + 8.25y) + 10.5
What does the term (21x + 8.25y) represent?
A А
the total cost of the order before delivery
the total delivery cost of the order
B
the total cost of the large cakes ordered
the subtotal cost of all the cakes ordered
before tax and delivery

Answers

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

what is the sum of all the negative integers that are greater than -5?

Answers

Answer:

-10

Step-by-step explanation:

The negative integers greater than -5 are: -4, -3, -2, and -1. So,

(-4)+(-3)+(-2)+(-1) = -10

What is the value of Y if x=1

Answers

Answer:

y=6

the first equation:

3(1)+y=9

3+y=9

y=6

the second equation:

y= -4(1)+10

y= -4+10

y=6

I hope this helped! :)

(x+3)²+(y+1)²=2 jjjjjjjjjjjju

Answers

Answer:

x²+y²+6x+2y = -8

Step-by-step explanation:

The given equation is:

(x+3)²+(y+1)²=2

We know that, (a+b)² = a²+b²+2ab

Using above property

x²+9+6x+y²+1+2y = 2

x²+y²+6x+2y+10 = 2

x²+y²+6x+2y = -8

Hence, this is the required solution.

Find the area of the regular polygon. Round to the nearest tenth

Answers

46.6 ??? I’m not sure tho

Simplify the expression:
4g+1+10g+8g

Answers

Answer:

22g+1

Step-by-step explanation:

collect like terms

22g+1

Answer:22g+1

Step-by-step explanation:

Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39

Answers

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

The figure below shows a circle with segment AB as it's diameter. The center of the circle is NOT known. A square needs to be inscribed in the circle with A and B as a pair of opposite vertices.
Which step will be used in the construction? PLEASE HELP

A. constructing four arcs on the circles circumference with the compass width as the radius
B. constructing a segment that is tangent to the circle at point A
C. constructing a perpendicular to a line segment through a point not lying on it.
D. constructing a perpendicular bisector of a line segment.​

Answers

It’s B because it is the correct answer

Answer:

its b i took the test

Step-by-step explanation:


Patrick is keeping track of how far he jogs each morning.
Use a ratio in lowest terms
to represent how much
farther he ran today
The ratio of
420 m to 1 km =


Answers

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

1 km = 1000 m

So,

The ratio becomes,

[tex]\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}[/tex]

So, the required ratio is 21:50.

What is the missing number?
3
8
-2
7
4
5
1
10 12 3
The missing number is...

Answers

Answer:

9

Step-by-step explanation:

10-7=3

12-4=8

3-5=-2

9-1=8

Hope this helped :)



Please help with imaginary numbers worksheet!

Answers

Problem 5

Answer:   6i

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

Explanation:

We have these four identities

i^0 = 1i^1 = ii^2 = -1i^3 = -i

Notice how computing i^4 leads us back to 1. So i^4 = i^0. The pattern repeats every 4 terms. So we divide the exponent by 4 and look at the remainder. We ignore the quotient entirely. We can see that 28/4 = 7 remainder 0. Meaning that i^28 = i^0 = 1.

We can think of it like this if you wanted

i^28 = (i^4)^7 = 1^7 = 1

Then the sqrt(-36) becomes 6i

So overall, we end up with the final answer of 6i

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

Problem 6

Answer:  -3i

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

Explanation:

We'll use the ideas mentioned in problem 5

46/4 = 11 remainder 2

i^46 = i^2 = -1

sqrt(-9) = 3i

The two outside negative signs cancel out, but there's still a negative from -1 we found earlier. So we end up with -3i

In other words, here is one way you could write out the steps

[tex]-i^{46}*-\sqrt{-9}\\\\-i^{2}*-3i\\\\i^{2}*3i\\\\-1*3i\\\\-3i\\\\[/tex]

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

Problem 7

Answer:   -1

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

Work Shown:

i^10 = i^2 because 10/4 = 2 remainder 2

i^19 = i^3 because 19/4 = 4 remainder 3

i^7 = i^3 because 7/4 = 1 remainder 3

Again, all we care about are the remainders.

[tex]i^{10}+i^{19} - i^{7}\\\\i^{2}+i^{3} - i^{3}\\\\i^{2}\\\\-1[/tex]

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

Problem 8

Answer:    -1 + i

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

Work Shown:

i^22*i^6 = i^(22+6) = i^28

Earlier in problem 5, we found that i^28 = i^0 = 1

So,

[tex]i^1 - \left(i^{22}*i^{6}\right)\\\\i^1 - i^{28}\\\\i^1 - i^{0}\\\\i - 1\\\\-1+i[/tex]

Answer -1 for number 7

How many centimeters are equal to 7 meters? Enter your answer in the box.

Answers

Answer:

56 but i could be wrong

Step-by-step explanation:

Can you help me plisss:(

Answers

Step-by-step explanation:

x = (7±√193)/18

The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31

Answers

D g(x)=1x -31
Explanation: got it right

The function g(x) is g(x) = Ix + 3I.

The correct option is B.

What is transformation on the graphs?

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

horizontally moving the f(x) k unit coordinates may be drawn.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

Given that the parent function is f(x) = IxI.

From the definition,

the transformed function is moved horizontally to 3 units to the right.

So, the function is g(x) = Ix + 3I.

Therefore, g(x) = Ix + 3I.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a given year between 1980 and 1996 is E 0.36x + 15.9 where E is miles per gallon and z is the number of years after 1980. Note: Round your answers down to get the corresponding year. For instance, at 3.25, the year is 1983 .
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

Answers

Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

[tex]E(x) = 0.36x + 15.9[/tex]

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

[tex]E(x) < 17[/tex]

[tex]0.36x + 15.9 < 17[/tex]

[tex]0.36x < 1.1[/tex]

[tex]x < \frac{1.1}{0.36}[/tex]

[tex]x < 3.06[/tex]

3.06 = 1980 + 3 = 1983. So

In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

[tex]E(x) > 20[/tex]

[tex]0.36x + 15.9 > 20[/tex]

[tex]0.36x > 4.1[/tex]

[tex]x > \frac{4.1}{0.36}[/tex]

[tex]x > 11.38[/tex]

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.​

Answers

Answer:

54cm and 36cm

Step-by-step explanation:

triangle a : triangle b

50cm² : 16cm²

25 : 8

thus,

area of triangle a :

2cm×25cm

=50cm²

area of triangle b :

2cm×16cm

=32cm²

then,

perimeter of triangle a:

2cm+2cm+25cm+25cm

=54cm

perimeter of triangle b:

2cm+2cm+16cm+16cm

=36cm

Select the correct answer.
Solve the following inequality for x.
x - 9 ≤ 2(9 - x)

A. x ≤ 9
B. x ≥ 11
C. x < -7
D. x < 1

Answers

x - 9 ≤ 2(9 - x)

x - 9 ≤ 18 - 2x

3x - 9 ≤ 18

3x ≤ 27

x ≤ 9

(just handle it like an equation)

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300and $350

Answers

Answer:

2.35

Step-by-step explanation:

7 is an unending decimal. Find the
circumference of the circle below using
exact TT
12
C = [?]
C=πd

Answers

Answer:

Solution given;

diameter[d]=12

we

have

circumference of circle=πd=12π

12 is a required answer.

☞ Question:

π is an unending decimal. Find the circumference of the circle below using exact π.

☞ Formula for Circumference:

[tex]\boxed{C = πd}[/tex]

☞ Formula for Pie (π):

[tex] \boxed{π = \frac{22}{7} \: \: or \: \: 3.14}[/tex]

☞ Given:

π = 3.14d = 12

☞ Let's try!

[tex]C = πd[/tex][tex]C = (π)12[/tex][tex]C = (3.14)12[/tex][tex] \boxed{C = 37.68}[/tex]☞ Answer:

[tex] \huge\boxed{C = 37.68}[/tex]

_________

#LetsStudy

Quieres un chocolate?
Please help reply correctly in Spanish

Answers

Answer:

sí, (yo) quiero un chocolate

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