Given f(x) =
4x + 2, find f(x + 3).

Answers

Answer 1

Answer:

f(x + 3) = 2(x + 7)

Step-by-step explanation:

Now lets find out what does f(x + 3) means.

f(x + 3) means shifting the entire function 3 units to the left. Which also means, all x values will be shifted to the left by that number of units. (Excluding the constant that is multiplied or divided by x, eg. 5x + 6 shifted by 7 units to the left is 5(x + 7) + 6 and not 5x + 7 + 6.)

From the above,

f(x + 3) = 4(x + 3) + 2 = 4x + 12 + 2 = 4x + 14 = 2(x + 7)


Related Questions

PLS PLS PLS I NEED THIS

Tory and​ Emilio's motorboats travel at the same speed. Tory pilots her boat 30km before docking. Emilio continues for another ​3 hr, traveling a total of 80 km before docking. How long did it take Tory to navigate the ​30 km?

Answers

It took Tory hr to navigate the 60 km
(Simplify your answer. Type an integer, a mixed numeral or a fraction)

did all the major work just need the value:D

Answers

Answer:

Expressions B and C

Step-by-step explanation:

A: 20^2 - 18^2 = 400 - 324 = 76 (not A)

B: 8(4^2) + 2^4 = 128 + 16 = 144 (which is equivalent to 12^2)

C: 15^2 - 3^4 = 225 - 81 = 144 (which is equivalent to 12^2)

Hope this helps!

Is the following data set a time series? If not, explain why. T
ime spent training by workers in a company. Choose the correct answer below. A. No, because the data values are the time spend in training, and are not points in time. B. Yes. C. No, because the data are for each worker, not over time.

Answers

No, because the data values are the time spend in training, and are not points in time. (Option - A is correct )

Weather records, economic indicators and patient health evolution metrics — all are time series data. Time series data could also be server metrics, application performance monitoring, network data, sensor data, events, clicks and many other types of analytics data.

variance is NOT a time series component, it refers to the spread of a data set.

The three main types of time series models are moving average, exponential smoothing, and ARIMA. The crucial thing is to choose the right forecasting method as per the characteristics of the time series data.

y(t) = x(t)β + ε(t), where y(t) = {yt;t = 0,±1,±2,...} is a sequence, indexed by the time subscript t, which is a combination of an observable signal sequence x(t) = {xt} and an unobservable white-noise sequence ε(t) = {εt} of independently and identically distributed random variables.

Therefore,

No, because the data values are the time spend in training, and are not points in time. (Option - A is correct )

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determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.

3x+5y=10
5y-3y=-6

Answers

The lines are perpendicular

What is slope-intercept?

The slope-intercept form of a linear equation is a way of writing the equation of a line in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y- intercept )

3x + 5y = 10 ( subtract 3x from both sides )

5y = - 3x + 10 ( divide through by 5 )

y = -  x + 2 ← in slope- intercept form

with slope m = -

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

5x - 3y = - 6 ( subtract 5x from both sides )

- 3y = - 5x - 6 ( divide through by - 3 )

y =  x + 2 ← in slope-intercept form

with slope m =

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

• Parallel lines have equal slopes

clearly, the lines are not parallel

• the product of the slopes of perpendicular lines equals - 1

-  ×  = - 1

thus the 2 lines are perpendicular to each other

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the bumper is at -1.6 units.


It is programmed to move -2.3units.


Where should the ball be placed?

Answers

If the bumper is at -1.6 units and It is programmed to move -2.3units. The bumper should be placed at -3.9 units

How to find the location of the bumper

The location of the bumper is calculated by the concept of addition that takes place when the two values has negative signs values.

The negative numbers are located by the left of zero on the number line. The two points are both negative and have the value of -1.6 units and -2.3 units

Summing the two units together will result to

= -1.6 units + (-2.3 units)

= -1.6 - 2.3

= -3.9 units

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One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The distribution for X is shown in the table.

A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.

What is the probability that the basketball player will make at least six free throws out of the eight attempts?

0.11
0.21
0.30
0.32

Answers

The likelihood that the basketball player will convert at least six of his or her eight free throw tries is 0.32.

What is meant by probability ?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics refers to the study of events subject to probability.

The ratio of all potential cases to the number of cases that are favorable to an event determines its likelihood when there is no reason for us to believe that any one of these circumstances will happen more frequently than any other, making them all equally likely.

The likelihood that an event will occur is quantified by probability. The probability of an event is the relative frequency throughout time of that event. Probabilities are all numbers between 0 and 1, inclusive—that is, any numbers between 0 and 1.

Therefore, the correct answer is option d) 0.32.

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Please help I will give you brainliest!!!

Answers

Answer:

(a) D y = 6x + 7

(b) A 6

Step-by-step explanation:

6x -6 = -7   Subtract 6x from both sides

6x - 6x - y = -6x - 7

-y = -6x - 7    Divide all the way through by -1

y = 6x + 7

The slope is the number before the variable x. (6)

In the equation below, n is the number of words in some code in t years.
n = 2450t + 500
a) In how many years will the code have 12750 words?
b) How many words will the code have in 10 years?

Answers

Answer:

a). t = 5 years.

b). n = 25000 words.

Step-by-step explanation:

From the question it have been given a formula

which is n = 2450t + 500

a) The year

n = 12750 words

n = 2450t + 500

= 12750 = 2450t + 500

= 12750 - 500 = 2450t

= 12250 = 2450t

= 12250/2450 = 2450t/2450.

5 years = t

Or

t = 5 years.

b). The words

t = 10 years

= n = 2450t + 500

= n = 2450(10) + 500

= n = 24500 + 500

n = 25000 words.

Number of pennies in a stack that is 1 ft high

Answers

There are 192 pennies in a stack that is 1 ft high.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

Stack is 1 feet high.

Now, We know that;

⇒ 1 inch = 16 pennies

And, 1 feet = 12 inches

So, We get;

⇒ 1 ft = 12 inches

         = 12 × 16 pennies

         = 192 pennies

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Hellllppppp!

given triangle abc prove m∠a=66 2/3

Answers

Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem.

How do you calculate the triangular sum theorem?

Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem. m∠1+m∠2+m∠3=180∘.

Here,

According to the triangle sum theorem, a triangle's total angles equal 180°. Therefore, using the Substitution property

=> (3x)° + 90° + (x+10)° = 180°,

=>  m(A,B,C) = 180.

To find x, combine similar terms to get

=> 4x + 100 = 180. Then, using the subtraction condition of equality, convert => 13 1/2 to 80.

=> Finally, divide 80 by  5 ( 13 1/2) to find x.

The substitution property may be used to get the measure of the angle A, yielding mA = 5 ( 13 1/2) °.

When the expression is finally simplified, m < A = 66 2/3.

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Tyson is hiking. At the start of his hike, his altitude is $-120$ feet. Halfway through his hike, Tyson measured that his altitude had dropped $70$ feet. Part A Tyson determines that his altitude at the halfway point of his hike is $-50$ feet because $-120\ +\ 70\ =\ -50$ . Did Tyson correctly determine his altitude at the halfway point of his hike? Explain why or why not. If not, calculate Tyson's altitude at the halfway point of his hike.

Answers

His altitude at the halfway point is -50 feet

Step-by-step explanation:

At the start of his hike, his altitude is -120 feet.

His altitude had dropped 70 feet.

His altitude at the halfway point of his hike is

= -120 + 70 = -50

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I bet you can't solve this...

The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.

r = 0.04
r = 0.14
r = 0.26
r = 0.40

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Lets solve for r ~

[tex]\qquad \sf  \dashrightarrow \: 816 = 600( 1 + 9r)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 816 = 600 + 5400r[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5400r = 816 - 600[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5400r = 216[/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \dfrac{216}{5400} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r= \dfrac{4}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = 0.04[/tex]

The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. On solving the linear equation for r, we get r = 0.04 (a).

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Given in the question,

[tex]816 = 600(1 + 9r)\\\\\frac{816}{600} = 1+9r\\ \\\frac{816}{600} -1 = 9r\\\\\frac{216}{600} = 9r\\\\r = \frac{216}{600* 9 } = 0.04[/tex]

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WILL GET 100 PTS!

Juan builds this pedestal for a trophy.

What is the volume of the pedestal?

Answers

Answer:

112 in³

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

The pedestal is the combination of two rectangular prisms.

One of them has dimensions:

9 in by 2 in by 4 in

Its volume is:

V = 9*2*4 = 72 in³

The other one has dimensions:

(9 - 2 - 2) = 5 in by 2 in by 4 in

Its volume is:

V = 5*2*4 = 40 in³

Total volume is:

72 + 40 = 112 in³

Answer:

112 in³

Step-by-step explanation:

The pedestal is made up of two rectangular prisms.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Volume of a rectangular prism}\\\\$V=w\cdot l\cdot h$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width of the base. \\ \phantom{ww}$\bullet$ $l$ is the length of the base.\\\phantom{ww}$\bullet$ $h$ is the height of the prism.\\\end{minipage}}[/tex]

The dimensions of the largest rectangular prism are:

w = 2 inl = 9 inh = 4 in

Therefore, the volume of the largest rectangular prism is:

[tex]\begin{aligned}\implies V&=2 \cdot 9 \cdot 4\\&=18 \cdot 4\\&=72\;\rm in^3\end{aligned}[/tex]

The dimensions of the smaller rectangular prism are:

w = 2 inl = 9 - 2 - 2 = 5 inh = 4 in

Therefore, the volume of the smaller rectangular prism is:

[tex]\begin{aligned}\implies V&=2 \cdot 5 \cdot 4\\&=10\cdot 4\\&=40\;\rm in^3\end{aligned}[/tex]

The volume of the pedestal is the sum of the volumes of the largest and smaller rectangular prisms:

[tex]\implies V=72+40=112\; \rm in^3[/tex]

Therefore, the volume of the pedestal is 112 in³.

7. The PTA needs to raise $15,000 from its membership. Each membership brings in $25. If they begin with $2500, how many memberships will be needed? Let m represent the number of memberships.​

Answers

Answer:

m=5000 members

Step-by-step explanation:

15000-2500=12500

12500/25=500

Which facts could be applied to simplify this expression? Select three options. (Negative 5 x minus 3 y) minus (negative x minus 3 z) Group of answer choices The simplified expression is Negative 4 x minus 3 y + 3 z. Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x. Like terms are terms that contain the same variable, raised to the same power. To subtract like terms, subtract the coefficients, not the variables. The simplified expression is Negative 6 x minus 3 y + 3 z.

Answers

a. To subtract like terms, subtract the coefficients, not the variables b. Like terms are terms that contain the same variable e. Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x.

Why is it so?

The expression can be made simpler by using these facts.

We may take the coefficients of the similar terms, which are x and -x, out using fact a. In this instance, the expression is simplified to read as Negative 5 x minus x = Negative 6 x.

According to fact b, terms that have the same variable raised to the same power are referred to as being like terms. As we can see, there are two like terms—Negative y and -2y—in this situation that can be joined. The similar terms' coefficients, which are -1 and -2, can be added. The total is y-3.

Negative (negative x) is equal to negative x, according to Fact e. We can see that Negative 5 x is Negative (negative x) in this situation and can be reduced to Negative 6 x.

Therefore, Negative 6 x -3 y + 3 z would be the abbreviated expression.

Due to the fact that fact C's computation does not use the same simplified formulation as the other facts, it is important to note that fact C is incorrect.

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What is the common difference?? Please help me

Answers

The common difference of the sequence is -1/2

How to determine the common difference?

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

3/8, -1/8, -5/8, -9/8

The common difference is the difference between successive terms

So, we have

Difference = -1/8 - 3/8

Evaluate the difference

Difference = -1/2

Hence, the common difference is -1/2

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If the dimensions of the gym were 24 ft. by 45 ft., how much distance did he save on one lap?

Answers

Answer:

18

Step-by-step explanation:

One trip around the gym would be 138 ft.

If we cut the diagonal, we use the Pythagorean theorem to find the distance of the hypotenuse, which is 51 ft.

One trip with the shortcut is 119 ft. (24 + 45 + 51 = 119).

Subtract 119 ft. from 138 feet and you have 18 ft. shorter route than walking the entire perimeter.

Using any method(s), solve Angle K H P when h = 16.1, p = 24.9 and k = 12.8 (trigonometry)

Answers

The angles of the triangle KHP are P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°, respectively.

How to determine the measures of missing angles in a triangle

Here we have the case of a triangle where the lengths of three sides are known and measures of angles must be determined. The missing angles can be found by means of law of cosine, whose equations related to the triangle are introduced below;

p² = h² + k² - 2 · h · k · cos P

h² = p² + k² - 2 · p · k · cos H

k² = h² + p² - 2 · h · p · cos K

Given;

h, k, p - Sides

H, K, P - Angles

If we know that h = 16.1, p = 24.9 and k = 12.8, then the measures of the angles are;

cos P = (p² - h² - k²) / (- 2 · h · k)

cos P = (24.9² - 16.1² - 12.8²) / (- 2 · 16.1 · 12.8)

cos P = - 0.478

P ≈ 118.555°

cos H = (h² - p² - k²) / (- 2 · p · k)

cos H = (16.1² - 24.9² - 12.8²) / (- 2 · 24.9 · 12.8)

cos H = 0.823

H ≈ 34.614°

cos K = (k² - h² - p²) / (- 2 · h · p)

cos K = (12.8² - 16.1² - 24.9²) / (- 2 · 16.1 · 24.9)

cos K = 0.892

K ≈ 26.844°

Triangle KHP has the following missing angles: P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°;

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Please help!!! I really need it

Answers

Answer:

[tex] \displaystyle{ {f}^{ - 1} (x) = {(x - 4)}^{3} + 1}[/tex]

Step-by-step explanation:

Let y = f(x)

[tex] \displaystyle{y = \sqrt[3]{x - 1} + 4}[/tex]

Finding an inverse, swap x and y

[tex] \displaystyle{x = \sqrt[3]{y- 1} + 4}[/tex]

Then solve for y, first subtract 4 both sides

[tex] \displaystyle{ x - 4= \sqrt[3]{y- 1} + 4 - 4} \\ \\ \displaystyle{ x - 4= \sqrt[3]{y- 1} }[/tex]

Cube both sides

[tex] \displaystyle{ {(x - 4)}^{3} = \left(\sqrt[3]{y- 1} \right)^{3} } \\ \\ \displaystyle{ {(x - 4)}^{3} = y - 1}[/tex]

Add both sides by 1

[tex] \displaystyle{ {(x - 4)}^{3} + 1 = y - 1 + 1} \\ \\ \displaystyle{ {(x - 4)}^{3} + 1 = y}[/tex]

The final y is the inverse. Hence:

[tex] \displaystyle{ {f}^{ - 1} (x) = {(x - 4)}^{3} + 1}[/tex]

Which expression represents the distance between 4.7 and −11.2 on the number line?

Drag and drop the correct expression into the box.


30 points to answer!

Answers

Answer:

Option A or 1 or   |-11.2 -4.7|

Step-by-step explanation:

Calculate the distance :

distance =

| 4.7 - (- 11.2) | =

| 4.7 + 11.2 | =

| 15.9 | =

15.9.

Should help

Answer:

  |-11.2 -4.7|

Step-by-step explanation:

You want the expression that represents the distance between 4.7 and -11.2 on a number line.

Distance

The distance on a number line is the positive difference between the coordinates of the points. Here, that would be either of ...

  |4.7 -(-11.2)|

or

  |-11.2 -4.7| . . . . . . matches an answer choice

__

Additional comment

Note that when we subtract the left coordinate from the right coordinate, the difference is already positive, so no absolute value function is needed.

Makayla invested $130. She earned a simple interest of 4% per year on the initial investment.

If no money was added or removed from the investment, what was the amount of interest Makayla received at the end of two years? Formula I=PRT

Answers

The answer is $10.4

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Makayla invested $130. She earned a simple interest of 4% per year on the initial investment.

Then SI = 130×4×2 /100

              =$10.4

Hence, Simple Interest recieved is $10.4

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I need help question 3 and 4

Answers

Answer: k*6 and then you find the reciprocal of k*6 which is 1 over k*6

Step-by-step explanation:

5/8 of the sixth grades plan to take athletics in seventh grade. What represents the part of the students do not plan to take athletics in seventh grade

Answers

Answer: 3/8

Step-by-step explanation:

5/8 of them want to, so you subtract 5/8 from 1

1-(5/8)

(8/8)-(5/8)

((8-5)/8)

3/8

If the world were a village of 100 people, there would be
31 Christians
21 Muslims
16 non-religious people
14 Hindus
6 Buddhists
12 with other religions.
What percentage are Muslim?
What fraction are Christian?
What fraction are non-religious?
What percentage have a religion?
Tyy​

Answers

Step-by-step explanation:

a. 21/100

b.31/100

c. 4/25

d. 3/25

hello i need help with my math money management math homeowrk but no one wants to help me please help me with my math homework!!

Answers

a) The total cost of purchasing the car that is worth $32,000 with the harmonized sales tax (HST) of 13% is $36,160.

b) By leasing the car instead of purchasing it outright, the customer will save $14,760.

c) The lease options for the lessee after returning the car include:

Lease buyoutExtending the leaseSigning a new lease agreementBuying out the car and then reselling it.

What is a lease?

A lease is a financing option for the use of capital assets.

With a lease, the lessee uses the asset for a specific period and the lessor receives periodic payments.

There are operating and finance (capital) leases.  Though, under new accounting standards, all leases are to be classified as finance leases.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Lease Arrangement:

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

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120 + 1814x = 180 –134x

Answers

Answer:

15/487 or 0.0308008= 0.03

Step-by-step explanation:

You must solve to isolate the x variable.

A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion will be used to estimate
the population proportion. Use the z-table.
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answers

a. The probability that the sample proportion will be within ±0.03 of the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.

What is population proportion?
The probability that a specific event will occur in the population is known as the population proportion. It is a parameter, and the sample proportion statistic is used to estimate it. The percentage of occurrences that occur in the sample is known as the sample proportion.

a. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.03 < p‌ - P < 0.003).
We Know that z-score of sample proportion is given by:
z = (p‌ - P)/SE(p‌), where SE(p‌) represents standard error.
⇒SE(p‌) = √(0.3 * 0.7)/200
⇒SE(p‌) = √0.00105
SE(p‌) = 0.0324

Now, using the z score, the probability P(-0.03 < p‌ - P < 0.003) is computed as follows:
P(-0.03 < p‌ - P < 0.003) = P(-0.03/SE(p‌) < p‌ - P/SE(p‌) < 0.003/SE(p‌))
= P(-0.03/0.0324 < Z < 0.003/0.0324)
= P(−0.925926 < Z < 0.925926)
= 2P(0 < Z < 0.925926)


P(0 < Z < 0.925926) = 0.3228   (Using standard table)
So,
2P(0 < Z < 0.925926) = 2*0.3228 = 0.6456
Hence, the probability that the sample proportion will be within ±0.03 the population proportion is 0.6456.


b. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.08 < p‌ - P < 0.008).
Also, SE(p‌) = 0.0324
Now, using z score,
P(-0.08 < p‌ - P < 0.008) = P(-0.08/SE(p‌) < p‌ - P/SE(p‌) < 0.008/SE(p‌))
= P(-0.08/0.0324 < Z < 0.008/0.0324)
= P(−2.469135 < Z < 2.469135)
= 2P(0 < Z < 2.469135)

P(0 < Z < 2.469135) = 0.9925   (Using standard table)
So,
2P(0 < Z < 2.469135) = 2*0.9925 = 1.985

Hence, the probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.

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If the length of each square represents 100 miles, what is the distance between Airport X and Airport Y?

Answers

Answer:

Out of all possible choices you've shown, I'd say the best answer would be A

Step-by-step explanation:

A dilation maps (6, 10) to (3, 5) and the center of dilation is the origin. Given A(12, 4), determine
under the same dilation.

Answers

Analyzing the coordinates being provided, the scale factor is found to be 0.5, hence the image of point A(12,4) under the same dilation and the center of dilation as origin is A'(6,2).

What is dilation?

A dilation is a transformation in Euclidean space that enlarges or reduces all the points in a figure by a scale factor. In the example given, the dilation maps (6, 10) to (3, 5) with a scale factor of 0.5, and the center of dilation is the origin (0,0). The image of a point A(x,y) under this dilation would be A'(x*0.5, y*0.5). It means the point is scaled down by 0.5 in both x and y coordinate.

How can the dilation described above be used in real-world applications?

The dilation described above can be used in real-world applications such as image processing, where it can be used to reduce the size of an image without losing important details, or to enlarge an image without introducing distortion. It can also be used in architectural design to create smaller or larger versions of floor plans and blueprints. Additionally, it can be used in cartography to change the scale of maps without altering the shape of the features on the map.

Analyzing the given dilation map , mapped from (6,10) to (3,5) ,the center of the dilation being origin. We can see that the scaling factor is 0.5.

So , using the same dilation for point A(12,4), The image of A will be,

A'(12*0.5,4*0.5) = A'(6,2)

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If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200

Answers

We decide on 320 as the best-predicted value. EV(node 4) = 320. The answer is option (a).

What is Probability?

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability of S1 = 0.6

Probability of F = 0.40

Value of node y =?

As per the given value if probability of S1 = 0.6

Then the probability of S2 = 0.4

Using payoff values in table equation from except value.

[tex]EV(d_{i})=[/tex] ∑ [tex]V_{ij} S_{J}[/tex]

where [tex]V_{ij}[/tex] = value of payoff

We compute the expected value for each of decisions

EV(Node 8) = 0.6*100+0.4*300

                  = 180

EV(Node 9) = 0.6*400+0.4*200

             = 320

For Node 4, We select the best value from node 8 and node9

The best decision attractive is the line complex branch that  EV(node 8) = 180, For node 9,

Therefore, We select the best-predicted value i.e 320.

EV(node 4) = 320

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