Which function is the inverse of f()= 4x2?​

Which Function Is The Inverse Of F()= 4x2?

Answers

Answer 1

The inverse of the function is g(x) = √[(x + 3)/4]

How to determine the inverse of the functipn

From the question, we have the following parameters that can be used in our computation:

f(x) = 4x^2 - 3

Rewrite the function as

y = 4x^2 - 3

Swap the variables

x = 4y^2 - 3

Make y the subject

So, we have the following representation

y = √[(x + 3)/4]

Rewrite as

g(x) = √[(x + 3)/4]

Hence, the inverse is g(x) = √[(x + 3)/4]

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Related Questions

I need this for math homework anyone on tonight to help? 5/8 = x/12 x=

Answers

Given
5/8=x/12
That implies x=(5*12)/8
x=15/2=7.5

What is the estimated answer of 0.93 x 2.6

Answers

Answer:

2.5!

Step-by-step explanation:

round 0.93 up to 1 and 2.6 down to 2.5

1*2.5 = 2.5

Answer:like 3

Step-by-step explanation:

Describe a situation that you can model with 6m+3 = 27. Explain what the variable represents and solve the equation.

Answers

Answer:

Step-by-step explanation:

its 18+27 because you have to do 6x3 wich is 18 and add 27 to 18

Answer:

4

Step-by-step explanation:

Subtract 3 from both sides.Then divide both sides by 6 to give you your answer.

if cos theta =3/4 find sin (90°-0)

Answers

Answer:

Below

Step-by-step explanation:

sin (90 -0) = sin (90) = 1

Remember   sin^2 + cos^2 =1

  for theta       sin2 + (3/4)^2

                         sin^2 = 1 - 9/16 = 7/16

                            sin (theta) = ± sqrt(7) /4

v= u + at
work out the value of v

Answers

Answer:

I don’t even know

Step-by-step explanation:

11. Check for Reasonableness Santiago wants to display categorical data
in a circle graph. He divides the circle graph into 5 equal sections because
the data set has 5 groups. Do you agree? Justify your answer,

Answers

Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.

Examine the triangle below, find the m

mZM=
D
, and the length of NP =

Answers

The length of NP is 6.28 cm

What do you mean by triangle?

A triangle is a two-dimensional geometric shape with three sides and three angles. It is one of the basic shapes in geometry and has many different properties that can be studied. Triangles can be classified into several different types based on the length of their sides and the size of their angles.

The most basic type of triangle is an equilateral triangle, which has three sides of equal length and three equal angles. Another common type of triangle is the right triangle, which has one right angle (90 degrees) and two other angles that add up to 90 degrees. Scalene triangles have no sides or angles of equal length, while isosceles triangles have at least two sides of equal length.

Triangles have many interesting and useful properties that can be used in geometry and other areas of mathematics. For example, the Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side. This theorem can be used to find the length of a missing side in a right triangle.

To find angle P and angle M, we can use the fact that the sum of the angles in a triangle is 180 degrees.

angle P + angle M + 46 = 180

angle P + angle M = 134

Next, we can use the law of cosines to find angle P. Let's call the length of NP "x".

cos(angle P) = (MN² + MP² - x²) / (2 × MN × MP)

We can use the formula for cosine to solve for angle P:

angle P = arccos((MN² + MP² - x²) / (2 × MN × MP))

Substituting in the values for MN and MP:

angle P = arccos((4² + 7² - x²) / (2 × 4 × 7))

Next, we can use the Pythagorean theorem to find x:

x^2 = MN^2 + MP^2 - 2 * MN * MP * cos(angle P)

x^2 = 4^2 + 7^2 - 2 * 4 * 7 * cos(angle P)

x² = 49 - 56 × cos(angle P)

Substituting in the value we found for angle P:

x² = 49 - 56 × cos(arccos((4² + 7² - x²) / (2 × 4 × 7)))

Solving for x, we get:

x = sqrt(49 - 56 × cos(arccos((4² + 7² - x²) / (2 × 4 × 7))))

x = sqrt(49 - 56 × cos(arccos(33 / 28)))

x = √(49 - 56 × (33 / 28) / √(33² + 28²))

x = √(49 - 56 × 33 / 28 / √(33^2 + 28^2))

Finally, we can use the value we found for x to find angle M:

angle M = 134 - angle P

angle M = 134 - arccos((4² + 7² - x²) / (2 × 4 × 7))

So the final answers are:

angle P = arccos((4² + 7² - x²) / (2 × 4 × 7)) = 68.93 degrees

angle M = 134 - angle P = 65.07 degrees

length of NP = x = sqrt(49 - 56 × 33 / 28 / √(33² + 28²)) = 6.28 cm

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Someone help me with this math problem.

Answers

Answer:

Good luck man.

Step-by-step explanation:

Ima be honest, I got no idea.

Miguel bought a scarf. He paid $9.92 and received $0.01 in change. How much did the scarf cost?

Answers

Answer:

The scarf cost:

$9.91

Step-by-step explanation:

9.92 - 0.01 = 9.91

HELP PLSS (show how to solve) for 59 points

Answers

Answer: Dude this is pretty easy!

Step-by-step explanation: Use the process of elimination.

Hint: It's just subtraction or addition. Trust me it's easy.

Answer:

Step-by-step explanation:

1/4 min, 15 sec

A telephone company charges $30 a month and gives the customer 200 free minutes. After the 200 min, the company charges $0.03 a minute.
(a) Write the function using function notation.
(b) Find the cost for talking 350 min in a month
(c) Find the number of minutes used if the monthly charge is $34.68

Answers

Answer:

(a)

f(x) = 30, for x ≤ 200

f(x) = 0.03(x - 200) + 30, for x > 200

(b) $34.50

(c) 356

Step-by-step explanation:

Let x = number of minutes.

(a)

f(x) = 30, for x ≤ 200

f(x) = 0.03(x - 200) + 30, for x > 200

(b)

Here, x = 350, so x > 200.

f(x) = 0.03(x - 200) + 30

f(350) = 0.03(350 - 200) + 30

f(350) = 0.03(150) + 30

f(350) = 4.5 + 30

f(350) = 34.5

$34.50

(c)

f(x) = 0.03(x - 200) + 30

0.03(x - 200) + 30 = 34.68

0.03(x - 200) = 4.68

x - 200 = 156

x = 356

Two cars start from towns 660 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 10 mph faster than the other.

Answers

The speed of the cars are 50mph and 60mph

How to determine the speed of each car

Let's call the speed of the slower car "x". The faster car is traveling at "x + 10 mph".

The total distance both cars travel is 660 miles, and the time it takes for them to meet is 6 hours.

Using the formula for distance = rate x time, we can set up the equation:

x * 6 + (x + 10) * 6 = 660

Expanding and simplifying, we get:

12x + 60 = 660

Subtracting 60 from both sides:

12x = 600

Dividing both sides by 12:

x = 50 mph

So the slower car is traveling at 50 mph and the faster car is traveling at 60 mph.

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A church group set off from their
Church at 9:00a.m. The group had to change a tire at 9:38 a.m. the group noted that the trip took them 77 minutes to finish what time did the church group arrive at the canyon

Answers

Answer:

Below

Step-by-step explanation:

77 min is 1 hour 17 min...add this to the 9:00 start to find  10 :17 am

Please help me with my math

Answers

Ok so x equals y and y equal Y

Answer:

square 3. Multipky the result by -2 and then subtract 4.

Step-by-step explanation:

comment if u need explanation

It took Mr. Black 2 hours to drive to his friend's house. On the way back the traffic was heavy, and Mr. Black drove 20 mph slower. The trip back took 1 hour longer. What was Mr. Black's speed to his friend's house?

Answers

Mr. Black was driving at 60 mph to his friend's house.

What was Mr. Black's speed to his friend's house?

Let's call Mr. Black's speed to his friend's house "x".

The trip back took x - 20 mph, since he was driving 20 mph slower.

The trip back took 1 hour longer, so it took 2 + 1 = 3 hours.

Using the formula for distance = rate x time, we can set up the equation:

x * 2 = (x - 20) * 3

Expanding and simplifying, we get:

2x = 3x - 60

Subtracting 2x from both sides:

0 = x - 60

Adding 60 to both sides:

x = 60 mph

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Factor out the greatest common factor.
2x³ + 8x² - 4x

Answers

Answer:

[tex]2x(x^2+4x-2)[/tex]

Step-by-step explanation:

We can factor out 2x:

[tex]2x^3+8x^2-4x=2x(x^2+4x-2)[/tex]

Find the area of the rectangle

What is the area of the rectangle?

Answers

The area of the rectangle =  9x² +18x−16

What is the area of the rectangle?

The area of a rectangle is calculated by multiplying the height by the width. If the height of the rectangle is represented by h and the width is represented by w, then the area is given by:

A = h * w

In this case, the height of the rectangle is given as 3x - 2 yards, and the width is given as 3x + 8 yards. So, substituting these values into the formula:

A = (3x - 2) * (3x + 8)

A = (3x - 2)(3x + 8)

A = 9x² +18x−16

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The answer is:

9x² - 64

Work/explanation:

To find the rectangle's area, we use the formula

[tex]\pmb{A=LW}[/tex]

Where A = area;

L = length;

w = width.

Plug in the data

[tex]\sf{A=(3x+8)(3x-8)}[/tex]

To multiply, use FOIL:

F = first

o = outside

i = inside

l = last

Multiply

[tex]\sf{3x\cdot3x=9x^2}[/tex]

[tex]\sf{3x\cdot(-8)=-24x}[/tex]

[tex]\sf{8\cdot3x=24x}[/tex]

[tex]\sf{8\cdot(-8)=-64}[/tex]

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

[tex]\sf{9x^2-24x+24x-64}[/tex]

[tex]\sf{9x^2-64}[/tex]

Hence, the area is 9x² - 64.

Graphing
100 POINT FOR HELP!!

Answers

Hope this helps! :)……,

Identify the graph of the system of linear inequalities.
y>-3 y≥5x

Answers

The common region represents the solution set to the both inequalities.

What is an inequality?

An inequality is used to compare two or more expressions.

For example -

ax + b > c

ax + b < c

Given are the inequalities -

y > -3

y ≥ 5x

Refer to the graph of the inequalities attached. The common region represents the solution set to the both inequalities.

Therefore, the common region represents the solution set to the both inequalities.

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A trucker wanted to track how long it took to reach Bismarck. When she started out, her clock
read 7:00AM. When she refueled, the clock read 8:00AM. After reaching Bismarck, the clock read
10:00AM. How many hours did it take this trucker to reach Bismarck?

Answers

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

What is the value of y?

Answers

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate.

PLS HELP ME SOLVE THESE TWO QUESTIONS IM JUST NOT GETTING IT

Answers

Answer:

Below

Step-by-step explanation:

The two angles at U   are equal....so the triangles have TWO equal angles: 72° and the angles at U

Answer A

Geometric mean is the square root of the two numbers after multiplying them     sqrt ( 48* 12) = sqrt( 576) = 24

one ordered pair that is a solution of y is greater then or equal to 4

Answers

On solving the provided question, we can say that the inequality formed is 1 ≥ 2(3)-5 => 1 ≥ 1

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

The ordered pair is (3, 1)

Substitute (x, y)=(3, 1) in the given inequality, we get

the inequality formed is

1 ≥ 2(3)-5

1 ≥ 1

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At Hometown Hospital, the cancer registrar recorded the age (at the time of initial diagnosis) of patients diagnosed with lung cancer. A total of 68 cases were recorded. The ages are ranked from oldest to youngest.
91 86 83 82 81 80 80 79 78 77 76 75 75 74 74 73 73 72
72 72 71 71 70 70 70 70 69 69 68 68 67 67 67 66 66 66
66 66 65 65 65 64 64 63 63 62 62 61 61 61 60 60 59 59
59 58 58 57 57 57 56 56 55 54 53 53 52 51
Complete the frequency distribution table with the following data:
1. All score limit ranges
2. Frequency
3. Cumulative frequency
4. Relative frequency [round to two decimal places]
5. Frequency percentage [should be a whole percentage without decimals]
6. Graph your frequency distribution in a histogram [grouped data] Make sure to label the histogram and give it a title.
7. One paragraph [4-5 sentences] that would let your readers know what your table means/shows.

score limits f cf rel. f freq. %
91-95







51-55






Then determine the value for:
1) 1st decile
2) 3rd decile
3) 65th percentile
4) 85th percentile
5) Percentile for an age of 71
6) Average age at time of diagnosis


Answers

Answer:

First Class Group is given as 25-29 Class size = 29-25=4 Make the reminding classes of same size till 89-93 Count the values and write the frequency against the respective

3. Which expressions have the same solution as -4.
a.
-4.5
-3 -7
-5/?
Select all that apply.

Answers

4(-6), 6(-4), and 12(-2). (-2). Each one adds up to -24. I am aware of this because if you multiply the two numbers and one of the numbers is negative, the result will also be negative. The item will be favorable if there are just two drawbacks.

What is meant by negative numbers?Describe how a negative number is similar to having no money at all and owing someone money. It is a negative number. Therefore, the value is less or less, the larger the numeral. If a number is more than zero, it is positive. Less than zero makes a number negative. If a number is higher than or equal to 0, it is considered to be non-negative. Any number that is less than or equal to zero is considered non-positive. Around 200 BCE, China was the first place to use negative numbers. They stood in for the cost of an item being bought or a debt. In any mathematical work, Diophantus was the first to discuss negative numbers.

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QUESTION 9 1 POINT
Determine the interval(s) for which the function shown below is decreasing.

Answers

A function is decreasing if as x-values increase, the y-values decrease.  Graphically this means that if you move from left-to-right, the graph goes down.

The downhill portion of this curve is on the interval [tex](1,\infty)[/tex].

1 6/11 ft of fabric is needed to make a rug? while 4 1/2 ft of fabric is required to make pillows/ Producing a rug is 2 2/7 times faster than pilliws/ How much more fabric is needed to make pillows versus a rug

Answers

2 21/22 feet of more fabric is required to make pillows versus a rug.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, 17/11 ft of fabric is needed to make a rug, while 9/2 ft of fabric is required to make pillows.

Also given that producing a rug is 16/7 times faster than pillows.

Therefore, The amount of extra fabric needed to make a pillow compared to a rug is,

= (9/2 - 17/11).

= (99 - 34)/22.

= 65/22 feet.

= 2 21/22 feet.

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pilar said that the expressions -4x + 3x + 2 and -x + 2 are equivalent. is pilar correct. explain

Answers

Yes, this is correct. If you solve the first equation it equals the second equation.

A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional
minute.
(a)Write a function to represent the cost, C, of a call as a function of its length tin minutes.
b)State the domain and range of the function.
c)Determine the cost of a call that lasts 12minutes.
(d)Determine the cost of a call that lasts 1 hour.

Answers

Answer:

a) Let's call the length of a call "t" (in minutes). The cost of a call can be represented as follows:

C(t) = 0.99 if t <= 20

C(t) = 0.99 + 0.07(t - 20) if t > 20

b) The domain of the function is all non-negative real numbers (t >= 0), since a call can have any non-negative length in minutes. The range of the function is all non-negative real numbers, since the cost of a call can never be negative.

c) If a call lasts 12 minutes, then the cost would be 0.99:

C(12) = 0.99

d) If a call lasts 1 hour (60 minutes), then the cost would be:

C(60) = 0.99 + 0.07(60 - 20) = 0.99 + 0.07(40) = 0.99 + 2.80 = 3.79

Step-by-step explanation:

G
Identifying Exponential Growt
Which is an exponential growth funcion
0f3=61025/
04-0295254
0f=423
0fx)=(-1257

Answers

Answer:

The exponential growth function 0f3=61025/ 04-0295254 0f=423 0fx)=(-1257 is not a valid equation.

Step-by-step explanation:

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The distance versus time graph for Object A and Object B are shown.A graph titles Distance vs Time. A curved line is drawn through point 10 on y axis and this line is labeled Object A. The graph for Object B is a straight slanting line passing through the originWhich statement best describes the motion of Object A and Object B? Both objects move with variable speed. Both objects move with constant speed. Object A moves with constant speed and Object B moves with variable speed. Object A moves with variable speed and Object B moves with constant speed. Researchers have found that after 25 years of age, the average size of the pupil in a person'seye decreases. The relationship between pupil diameter d (in millimeters) and age a (in years)can be modeled by d = -2.1158 loge a + 13.669. What is the age of a person with a pupildiameter of 5.6 mm? show that the coefficient of profile drag is cd = 0.0088. assume you can use the value for a flat plate with a correction factor of 1.75. living conditions for miners in the congo have improved because of the global demand for coltan, which is used in cell phones and other electronics. Art that simplifies forms of the visible world is known as ______. Which guidelines provide the recommendations for forming healthy eating patterns that will promote health, reduce risk of chronic disease, and meet nutritional needs? An investment account with the same initial investment and the same APR has the most APY if the interested is compounded monthly daily annually continuously______O MonthlyO DailyO AnnuallyO Continuously 15Type the correct answer in the box. Spell all words correctly.Janice is drawing a rough sketch of the crime scene. In which direction should the top of the page point?Janice should ensure that the top of the page points The doctor orders 500,000 Units of penicillin for the patient. The capsules available are 200,000 units and 100,000 Units. with the fewest capsules how many capsules would be given per dose? 200,000 mg capsules 100,000 mg capsules how does the pH scale work 1. what about edwards diction make this sermon so effective? give examples where edwardss choice of words (his diction) helps him persuade his audience. in what ways are music and architecture similar? and in what ways do they differ? using numerators that are even numbers, write two different substraction that each have a different of 1 Find the area of the rectangle.The bottom one Line T has a slope of -2/3. Line U has a slope of 2/3. Are line T and line U parallel, perpendicular, or neither. A car travels 240 kilometers on a 20 liters fuel. How many liters of fuel is needed to travel 600 kilometers. is it INVERSE PROPORTION or DIRECT PROPORTION ( show full working pls ) estimate the area under the graph of f ( x ) = 1 x 3 over the interval [ 1 , 5 ] using ten approximating rectangles and right endpoints. Rn=Repeat the approximation using left endpoints.Ln= Read this sentence from "Raymond's Run."Gretchen smiles, but it's not a smile, and I'm thinking that girls never really smile at each other because they don't know how and don't want to know how and there's probably no one to teach us how, cause grown-up girls don't know either.Why does Squeaky describe the idea of competition between girls in such a complicated manner?Question 5 options:A. to explain why girls worry so much about itB. to highlight how important it is to suggest that girls do not say what they meanD. to show how confusing and silly it is Which of these places is an example of an island arc along a trench?A) Aleutian IslandsB) Galpagos IslandsC) Hawaiian IslandsD) AustraliaD) Bermuda Jame aked 60 pupil which drink they liked bet from cola milk water 32 boy were included in the urvey