What is the inverse of f(x) = 2x2 -4?

Need answers asap

Answers

Answer 1

Answer:

Step-by-step explanation:

The function doesnt have an inverse. In order for a function to actually have an inverse, it has to pass the horizontal line test. The function above has repeating y-values because of the x^2.

With all this said, you can still find the inverse of the function as long as you restrict the domain (x-values) for the function. So, you cant consider the negative x-values.

First, replace f(x) with y and then switch the x and y variables

[tex]x=2y^2-4[/tex]

Then solve for y by adding 4 to both sides, dividing by 2, and finally taking the square root.

[tex]x+4=2y^2[/tex]

[tex]\frac{x+4}{2} =y^2[/tex]

[tex]\sqrt{\frac{x+4}{2} }=y[/tex]


Related Questions

I need some help!!!Please

Answers

Answer: I think it's Sporting Life:)

hope this help!

Answer:

66

Step-by-step explanation:

added and dont stop untill the end

I really need help please can you help I’ll give brainlest to first person (please hurry)

Answers

Answer: 1/3

Step-by-step explanation:

Half of the 14 brown eggs are cracked so there are 7 cracked eggs. There are 7+14=21 eggs in total so the probability of getting a cracked egg that is brown is 7/21=1/3

Please Help asap!! I will give brainly to whoever answer correctly! I need to submit this answer by today!
Which statement best describes the expression 3y ÷ 8?
(answer choices-
A- 8 divided by 3 times y
B- 8 times y divided by 3
C- 3 divided by 8 times y
D- 3 times y divided by 8

Answers

Answer:

C or D

Step-by-step explanation:

Answer:

I think option D 3 times y divided by 8



1.)20 is twice as much as 10 (True or False

2.)10 is twice as much as 20 (True or False)

3.)30 is double 15 (True Or False)

4.) 15 is double 30
(True or False)

Answers

1. true
2. false
3. true
4. false

The options that are true are (1), (3) and false ones are (2), (4).

What are arithmetic operations?

The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.

The given options can be examined one by one as follows,

(1) The given number 20 may be expressed as a mathematical operation as follows:

20 = 10 × 2

Which implies it is two times that of 10.

Thus, it is true.

(2) The given number 10 may be expressed as a mathematical operation as follows:

10 = 20 ÷ 2

Which implies it is half of 20.

Thus, it is false.

(3) The given number 30 may be expressed as a mathematical operation as follows:

30 = 15 × 2

Which implies it is two times that of 15.

Thus, it is true.

(4) The given number 15 may be expressed as a mathematical operation as follows:

15 = 30 ÷ 2

Which implies it is half of 30.

Thus, it is false.

Hence, the true and false options are (1), (3) and (2), (4) respectively.

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A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,000 feet, and the track is marked by foot for observation purposes. After 8 seconds, the car is at foot marker 1000 feet. At what foot marker was the car at time t= 0 seconds?

Answers

Answer:

foot marker 320 at t=0

Step-by-step explanation:

8 sec x 85 ft/s =680 ft

1,000ft - 680 ft = 320 ft

At t = 0 seconds the car was at a foot marker of 320 feet.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A car is traveling along a test track in the desert at a constant rate of 85 feet per second.

After 8 seconds, the car is at foot marker 1000.

So, In those 8 seconds, the car has traveled (8×85) = 680 feet.

Therefore, Initially, the car was at (1000 - 680) feet.

= 320 feet.

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Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5

Answers

Answer:

The solution is (0,4).

Step-by-step explanation:

We are given the following system of equations:

[tex]8x + 9y = 36[/tex]

[tex]3x + 4y = 16[/tex]

Solving by substitution.

In the first equation, we have that:

[tex]8x + 9y = 36[/tex]

[tex]8x = 36 - 9y[/tex]

[tex]x = \frac{36-9y}{8}[/tex]

Replacing in the second equation:

[tex]3x + 4y = 16[/tex]

[tex]3\frac{36-9y}{8} + 4y = 16[/tex]

Multiplying everything by 7

[tex]3(36 - 9y) + 32y = 128[/tex]

[tex]108 - 27y + 32y = 128[/tex]

[tex]5y = 20[/tex]

[tex]y = \frac{20}{5}[/tex]

[tex]y = 4[/tex]

Now, with y, we can find x.

[tex]x = \frac{36-9*4}{8} = 0[/tex]

So the solution is (0,4).

Write an equation of the parabola with focus (0, 10) and vertex at the origin

Answers

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Which ordered pair is on the graph of the function? (-6, 4) (-1, 2) (-2, -4) (6, -3)

Answers

Answer:

(-6,4) hope that helps you it's that in the y there is two 4

The answer
Is :(-6,4)

HELLLLLLLP i beg youuu

Answers

Answer:

1.5

Step-by-step explanation:

4:6 = 1:1.5

Need help ASAP Question 1 of 10
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the
new equation be?

Answers

Answer:

4(x - 9)^2 - 17

Step-by-step explanation:

A horizontal shift to the right by 9 changes x^2 to (x - 9)^2.

A vertical shift down by 1 changes - 16 to -17.

Therefore, the new equation is:

4(x - 9)^2 - 17

ILL GIVE BRAINLIEST AND 50 POINTS PLS help
A cell phone company charges $50 connection fee plus $20 per line. Jake must spend under $140 on his family’s cell phone bill. How many cell phone lines can his family have? Write the linear inequaulity that models this situation then solve the problem

Answers

Answer: 2

bc 50+20=70

140 divided by 70 is 2

Step-by-step explanation:

A college student completed some courses worth 3 credits and some courses worth 4 credits. The studentearned a total of 59 credits after completing 18 courses.How many courses worth 3 credits did the student complete?

Answers

Answer:

The student completed 13 courses worth 3 credits

Step-by-step explanation:

System of Equations

Let's assign the following variables:

x = number of courses worth 3 credits

y = number of courses worth 4 credits

Some student completed 18 courses thus:

x + y = 18      [1]

The student earned a total of 59 credits:

3x + 4y = 59       [2]

From [1]:

y = 18 - x

Substituting in [2]:

3x + 4(18 - x) = 59

Operating:

3x + 72 - 4x = 59

Simplifying:

-x = 59 - 72 = -13

x = 13

The student completed 13 courses worth 3 credits

What is the HCF of 27 and 15

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

5x3=15 and 3x9=27 so it’s 3.

Show the work for the answer

x=³√27

x = 3

Answers

Answer:

x = 3

Step-by-step explanation:

Given that,

[tex]x=\sqrt[3]{27}[/tex]

We need to show work to solve it.

We know that,

27 = 3×3×3

or

27 = (3³)

So,

[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]

Hence, this is the required solution.

What is x? I’ll make you the brainliest

Answers

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Which figures can be precisely defined by using only undefined terms? Select three options.
angle
arc
circle
line segment
parallel lines

Answers

Answer:

Circle, angle, and line segment.

Suppose that c is a number for which the equation c÷c = 1 is false. What is c?

Answers

Answer:

Hope it help

Mark me as brainliest

Step-by-step explanation:

Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show the time it took her to travel different distances at this speed. Write your answer as a decimal.

Answers

Answer:

0.2

Step-by-step explanation:

2/10 or 1/5

Answer:

0.2

Step-by-step explanation:

A bicycle with 24-inch diameter wheels is traveling at 12 mi/h. Find the angular speed of the wheels in rad/min.

Answers

Answer:

1055.99 rad/min

Step-by-step explanation:

Given that,

The diameter of a bicycle, d = 24 inches

Radius, r = 12 inches

The bicycle is travelling at 12 mi/h.

We need to find the angular speed of the wheels in rad/min.

We know that,

1 mi/h = 0.0166667 mi/min

It means,

12 mi/h = 0.2 mi/min

Also,

12 inch = 0.000189394 miles

The angular speeds of the wheels is given by :

[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{0.2}{0.000189394}\\\\\omega=1055.99\ rad/min[/tex]

So, the angular speeds of the wheels is 1055.99 rad/min.

The sides of a square garden are x? yards long. The area inside the garden is 49 square yards. What is the value of x?
Oa. 49 yards
Oc 77 yards
Ob. 7 yards
O d. 2 yards

Answers

Answer:

7 yards

Step-by-step explanation:

sqrt(49)=7

The value of the x is 7 yards. The correct option is b.

What is a square?

Square is a polygon which has 4 sides. All four sides of the square are equal length and perpendicular to each other, that means the angle between two adjacent side is 90°.

Given shape is a square.

And side of the square is x yards.

The area inside the garden is 49 square yards.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

So, the area of the square = (side x side)

Substituting the values,

49 = (x)²

x = 7

Therefore, the side is 7 yards.

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You have a cell phone plan that allows you 800 free minutes and 800 free texts. The base plan costs $55.00. Overage charges are 2 cents per extra minute and 2 cents per extra text message. If you use 899 minutes of talking and 905 text messages, what will be the cost of your bill?

Answers

Base cost=$55
Extra minutes= 99x0.02=$1.98
Extra messages=105x0.02=$2.10

Total=$2.10+$1.98+$55=$59.08

peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28 of a pack of cards, how man stacks can he make?

Answers

Answer:  8

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

Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

A fraction is a way to describe a part of a whole. The number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that Peter has 6/7 of a stack of baseball cards left. Also, he makes small stacks from the left cards of size 3/28. Therefore, the number of stacks Peter made,

[tex]\text{Number of stacks Peter made} = \dfrac{\text{Stack of baseball cards left}}{\text{Size of small stack of cards}}\\\\\\\text{Number of stacks Peter made} = \dfrac{\frac{6}{7}}{\frac{3}{28}}\\\\\\\text{Number of stacks Peter made} = \dfrac{6 \times 28}{7 \times 3} = 8[/tex]

Hence, the number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.

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A. f(x) = 2|2| is differentiable overf
X
B. g(x) = 2 + || is differentiable over
-f

Answers

Recall the definition of absolute value:

• If x ≥ 0, then |x| = x

• If x < 0, then |x| = -x

(a) Splitting up f(x) = x |x| into similar cases, you have

• f(x) = x ² if x ≥ 0

• f(x) = -x ² if x < 0

Differentiating f, you get

• f '(x) = 2x if x > 0 (note the strict inequality now)

• f '(x) = -2x if x < 0

To get the derivative at x = 0, notice that f '(x) approaches 0 from either side, so f '(x) = 0 if x = 0.

The derivative exists on its entire domain, so f(x) is differentiable everywhere, i.e. over the interval (-∞, ∞).

(b) Similarly splitting up g(x) = x + |x| gives

• g(x) = 2x if x ≥ 0

• g(x) = 0 if x < 0

Differentiating gives

• g'(x) = 2 if x > 0

• g'(x) = 0 if x < 0

but this time the limits of g'(x) as x approaches 0 from either side do not match (the limit from the left is 0 while the limit from the right is 2), so g(x) is differentiable everywhere except x = 0, i.e. over the interval (-∞, 0) ∪ (0, ∞).

Work out the equation of the line which has a gradient of 1/2 and
passes through the point (4, -2).​

Answers

9514 1404 393

Answer:

  y = 1/2x - 4

Step-by-step explanation:

The point-slope form of the equation for a line is a useful starting place when slope and point are given.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -(-2) = 1/2(x -4) . . . . line with slope 1/2 through point (4, -2)

  y = 1/2x - 4 . . . . . . . . eliminate parentheses, subtract 2

When traveling with the current, it takes Kamal 1 hour to travel 12 miles on a boat. It takes the boat 1.5 hours to travel the same 12 miles when traveling against the current. Assuming the boat travels at a constant speed during both trips, what is the speed of the boat and the speed of the current?

Answers

Answer:

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Step-by-step explanation:

r = rate of boat (speed of boat)

t = time

d = distance.

c = rate of current (speed of current)

with the current, the formula becomes (r + c) * t = d

against the current, the formula becomes (r - c) * t = d

going with the current, the boat takes 1 hour to travel 12 miles.

therefore:

(r + c) * t = d becomes (r + c) * 1 = 12

going against the current, the boat takes 1.5 hour to travel the same 12 miles.

therefore:

(r - c) * t = d becomes (r - c) * 1.5 = 12.

your two equations that need to be solved simultancously are:

(r + c) * 1 = 12

(r - c) * 1.5 = 12

divide both sides of the second equation by 1.5 and leave the first equaion as is to get:

 

r + c = 12

r - c = 8

add the equations together to get:

2 * r = 20

solve for r to get:

r = 20 / 2 = 10

(r + c) * 1 = 12 becomes (10 + c) * 1 = 12

simplify to get 10 + c = 12

solve for c to get c = 12 - 10 = 2

(r - c) * 1 = 8 becomes (10 - c) * 1 = 8

simplify to get 10 - c = 8

solve for c to get c = 10 - 8 = 2

you have:

r = 10

c = 2

that's your solution.

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Milly wants to buy this seated Elliptical for 169.99 (regularly 250.00)
What's the discount? What will be the total price afterwards?

Answers

169.99 / 250 = 0.68 or 68%

100 - 68 = 32% discount

Not sure what asking with total price, because tax varies by state.

5. Usa el método de cocientes parciales para hallar 1,032 ÷ 43.​

Answers

the answer for the question is 24

.

How do I decompose the fraction 4 2/5

Answers

Answer:

910293012

Step-by-step explanation:

it is nine thousand four billion atoms in one partial.

The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)

Answers

Answer:

[tex]105m^3/min[/tex]

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

[tex]\frac{da}{dt}=6m/min[/tex]

[tex]\frac{dh}{dt}=-1/min[/tex]

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]

[tex]\frac{dV}{dt}=105m^3/min[/tex]

Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]

Gavin drew a circle with a circumference of 10π centimeters. Which best represents the area of Gavin's circle in square centimeters?

Answers

Answer:

78.5cm^2

Step-by-step explanation:

Circumference equation = 2πr with radius r

10π = 2πr so r = 10π/2π = 5

Area of circle = πr^2

π * 5^2 = π * 25 = 25π = 78.53981... = 78.5 cm^2

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