F(x) =1/4(2-x)^2, what is the value of f(18)

Answer:

HOW DO I ANSWER THIS

Step-by-step explanation:

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

To know more about equation here:

brainly.com/question/29292690

#SPJ11

Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

Given:-

\( \: \)

\( \: \)

Solution:-

\( \: \)

put the given values in tha equation

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)

\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)

\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)

⠀

we know that,

\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

BUTTT,

he ran the 200-meter race in 19.5 seconds.

According to the question,

we have to compare the speed

⠀⠀⠀

\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)

The two speeds are equal of Yohan Blake.

Answer:

No because cuboid a is smaller than cuboid b

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

A

Step-by-step explanation:

3x3x3 = 27

The number above the root symbol is the amount of time you have to multiply a number by itself. When we write the square root symbol the 2 is invisible, just like the 1 with a lone variable (x=1x).

In this case it is a cube root

The density of iron is 7.87 x 10⁻⁹ kg/m³. This value is obtained by  considering the density of iron 7.87 g/cm³.

Density is a measure of how much mass is contained within a given volume. In this case, the density of iron is stated as 7.87 g/cm³. This means that for every cubic centimeter of iron, there is a mass of 7.87 grams.

To convert the density from g/cm³ to kg/m³, we need to convert grams to kilograms and cubic centimeters to cubic meters.

To convert grams to kilograms, we divide by 1000 since there are 1000 grams in a kilogram. So, 7.87 g/cm³ is equal to 0.00787 kg/cm³.

To convert the density of iron from g/cm³ to kg/m³, we need to perform the following calculations.

First, convert grams to kilograms:

1 g = 0.001 kg

Therefore, the density of iron is 7.87 g/cm³ * 0.001 kg/g = 0.00787 kg/cm³.

Next, convert cubic centimeters to cubic meters:

1 cm³ = (0.01 m)³ = 0.000001 m³

Therefore, the density of iron is 0.00787 kg/cm³ * 0.000001 m³/cm³ = 7.87 x 10⁻⁹ kg/m³.

Hence, the density of iron in units of kg/m³ is 7.87 x 10⁻⁹ kg/m³.

Learn more about Density

brainly.com/question/29775886

#SPJ11

The system of equations 3x + 2y = –2 and 6x + 4y = 15 can be classified as inconsistent systems.

To classify the given system of equations, we will analyze the coefficients of the variables and constants to determine if the equations are dependent, independent, or inconsistent. The system is:

1) 3x + 2y = -2
2) 6x + 4y = 15

First, let's check if the equations are multiples of each other. If we multiply the first equation by 2, we get:

1') 6x + 4y = -4

Comparing equation 1' with equation 2, we can see that the left-hand sides are equal, but the right-hand sides are different (-4 ≠ 15). Therefore, the equations are not multiples of each other.

Next, we'll examine the coefficients of x and y. In both equations, the ratio of the coefficients of x to y is the same (3/2 and 6/4). This means the lines represented by these equations are parallel.

Since the lines are parallel and not multiples of each other, they do not intersect, meaning there is no common solution for this system of equations. Therefore, we can classify this system as inconsistent system.

Learn more about inconsistent system here: https://brainly.com/question/30340038

#SPJ11

The standard deviation of X is approximately 1.715.

The standard deviation of a binomial distribution with parameters n and p is given by the formula:

σ = sqrt(np(1-p))

where

n is the sample size and

p is the probability of success.

In this case, n = 15 and p = 0.33, so we have:

σ = sqrt(15 * 0.33 * (1 - 0.33)) = 1.715 (rounded to three decimal places)

Therefore, the standard deviation of X is approximately 1.715.

Learn more about standard deviation at https://brainly.com/question/24298037

#SPJ1

Answer: It is C (-15/(-3-4))

Step-by-step explanation:

-3m-4m is what you get when you subtract 4m. Then you put 15 over it.

Answer:

C

Step-by-step explanation:

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

The speed of the Baba Yaga is 18 km/hr

The concept used to solve this problem is the formula for the distance, speed, and time relationship (d = st) and the concept of relative speed.

Since Baba Yaga has a tailwind while flying towards Bald mountain and a headwind while flying back to her home, her effective speed changes based on the wind direction.

We use the concept of relative speed to calculate the effective speed in both situations. We also use algebraic equations to solve for the unknown variable, which is Baba Yaga's flying speed in calm weather.

Here we have

Baba yoga calculates that with a tailwind of 2km/hr, she can fly toward a bald mountain.

She finds her flask when she is still 40 km from the mountain then turns around and flies back home. The entire journey takes 9 hours.  

Let the speed of Baba Yaga is x

The speed with tailwind = (x + 2) Km/hr

The speed with a headwind = (x - 2) km/hr

The distance to Bald Mountain:

=>  6(x + 2) = 6x + 12

The distance she actually traveled is less than 40 km:

=> 6x + 12 - 40 = 6x - 28

The total time she spent:

=> (6x - 28)/(x+2) + (6x - 28)/(x -2) = 9

=> (6x - 28)(x - 2) + (6x - 28)(x + 2) = 9(x + 2) (x - 2)  

=>  6x² - 12x - 28x + 56 + 6x² + 12x - 28x - 56 = 9x² - 36  

=> 12x² - 56x = 9x² - 36

=> 3x² - 56x + 36 = 0

=> 3x² - 56x + 36 = 0  

=> 3x² - 54x - 2x + 36 = 0

=>  (3x - 2) (x - 18) = 0

Solving the quadratic equation we get:

x = 18 km/h

Therefore,

The speed of the Baba Yaga is 18 km/hr

Learn more about Speed at

https://brainly.com/question/18307000

#SPJ1

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

Learn more about solutions for linear equations using given link :

https://brainly.com/question/26310043

#SPJ1

The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

learn more about  distinct

https://brainly.com/question/32727893

#SPJ11

Answer:

32.5

Step-by-step explanation:

Hope this helps:)

We know that an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

For an experiment to be considered verifiable, several things should be done. Firstly, the experiment should be designed in a way that allows others to replicate it and obtain the same results. This means that all procedures, materials, and variables used should be clearly documented and made available to others.

Secondly, the experiment should be conducted in a controlled environment, where all external factors that could influence the results are minimized or eliminated.

Thirdly, the data obtained from the experiment should be analyzed and interpreted objectively, without any bias or preconceived notions. Finally, the results should be subjected to peer review and scrutiny by experts in the relevant field to ensure that they are valid and reliable.

By following these steps, an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

To know more about decision-making refer here

https://brainly.com/question/31422716#

#SPJ11

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

Learn more about Acceleration here: brainly.com/question/29761692
#SPJ11

Answer:

9 days

Step-by-step explanation:

13 1/4 / 1 1/2 = 8 5/6 so 9 days

Answer:

the image won't load so maybe try uploading it again

Answer:

1/2

Step-by-step explanation:

Answer:

\(y = \frac{1}{2}x\)

Step-by-step explanation:

First plot (3,1). Then use the slope to create the second point. Go up 1, right 2.

Next draw a line connecting the points. The line touches the y-axis at 0.

\(y = mx + b\) is the form you use.

~theLocoCoco

Step-by-step explanation:

1.If the number 1 is:0=4-2y

y=2

2.b=-2

3.n=3

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

To learn more about : Exception reports

https://brainly.in/question/50910666

#SPJ8

The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.

A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.

It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.

To know more about sales tax visit:

https://brainly.com/question/29442509

#SPJ4

LCM  of 17, 23, 29   = 11339

HCF of 17, 23, 29     = 1

How to find LCM and HCF by prime factorization?

The numbers 17, 23, 29 are prime  numbers themselves.

By prime factorization we consider only the prime factors.

LCM of 17, 23, 29  = 17 ×23 ×29  (Since the numbers are prime)

                             =11339

HCF of 17, 23, 29 = 1    (Since the  common factor is 1)

What is prime factorization?

To learn more about prime factorization, refer:

https://brainly.com/question/18187355

#SPJ9

Answer:

the solution set is (-infinity, -8) ∪ (-8, 1/5)

Step-by-step explanation:

x + 8 changes sign at x = -8.  

I'll assume you meant 5x - 1 (as 5x+- is meaningless).  5x - 1 changes sign at x = 1/5.

Subdivide the x-axis using the two x-values found above:

(negative infinity, -8), (-8, 1/5), (1/5, infinity.

Choose a representative value from each interval.  I'm choosing x = -10, x = 0 and x = 1.

Now test the given inequality at each of these x-values.  Is the result true or false?

 x + 8

---------- > 0

5x - 1

For x = -10:

-10 + 8

--------------- > 0 => -2/(-51) => 2/51     This is TRUE

5(-10) - 1

For x = 1:

 1 + 8

---------- > 0  =>  9/4     This is TRUE

  5 - 1

For x = 0:

     8

---------- > 0    This is FALSE

    - 1

Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)

The reaction will produce 4.8 mol of CaO.

How does a mole work?

The unit of measurement used by chemists known as a mole is very significant. In the same way that having a dozen eggs implies you have twelve eggs, having a mole of anything indicates you have 602,214,076,000,000,000,000,000 of that thing.

                             When measuring very small objects like atoms, molecules, or other particles, chemists must use moles.

The balanced equation is

Fe₂O₃ + Ca₃(PO₄)₂ ⟶2FePO₄ + 3CaO

You want to convert moles of Fe₂O₃ to moles of CaO.

The molar ratio is 3 mol CaO:1 mol Fe₂O₃.

Moles of CaO = 1.6 mol Fe₂O₃ × (3 mol CaO/1 mol Fe₂O₃)

Moles of CaO = 4.8 mol CaO

The reaction will produce 4.8 mol of CaO.

Learn more about mole

brainly.com/question/26416088

#SPJ1

The complete question is -

how many moles of calcium oxide will be produced when 1.6 moles of Iron(III)oxide reacts with calcium phosphate according to the following (unbalanced) reaction: ____ Fe2O3 + ____ Ca3(PO4)2 —> Fe(PO4) + CaO

Answer:

X

Step-by-step explanation:

CAUSE

2X=X

DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)