Function Notation - Transformationsill send a picture of the question

Function Notation - Transformationsill Send A Picture Of The Question

Answers

Answer 1

Let's see how two points on the left are mapped to their corresponding points on the right:

Point A has a corresponding point at A'. We have:

f(A) = A'

f(-6, -3) = (2, 4)

Point B has a corresponding point at B'. We have:

f(B) = B'

f(-4, -1) = (4, 6)

Now, notice that:

2 = -6 + 8

4 = -3 + 7

So, for (x, y) = (-6, -3), we have:

f(x, y) = (2, 4) = (x + 8, y + 7)

Notice that the same happens to the mapping of the other point:

4 = -4 + 8

6 = -1 + 7

So, for (x, y) = (-4, -1), we have:

f(x, y) = (4, 6) = (x + 8, y + 7)

Therefore, the rule for the transformation is

f(x, y) = (x + 8, y + 7)

Function Notation - Transformationsill Send A Picture Of The Question

Related Questions

"How can an understanding of thenumber properties help you to solveequations that represent real-worldsituations?"

Answers

Undersatanding number properties helps you to solve equation because we can transfom ans simplify any equation in a way we just have to add or rest numbers. for example when you go shopping and there is a sale or a promotion, knowing this properties would help you to get the best price.

Max's bedroom is rectangular shaped and has a total area
of 140 square feet. If the short wall is at 10 feet long,
what is the length of the longer wall?

Answers

Answer:

14 ft

Step-by-step explanation:

Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.

what is the volume of the object in cubic centimeters? i think its 20, but i just want to double check to see if im right.

Answers

Given,

The measure of edge of the cube is 4 cm.

The total number of cubes are 5.

Required

The volume of the soid.

The volume of the solid is calculated as,

[tex]volume\text{ = side}\times side\times side[/tex]

Substituting the values then,

[tex]\begin{gathered} Volume\text{ =4}\times4\times4 \\ =64\text{ cm}^3 \end{gathered}[/tex]

The volume of the solid is,

[tex]\begin{gathered} Volume=5\times64 \\ =320\text{ cm}^3 \end{gathered}[/tex]

Hence, the volume of the solid is 320 cm^3.

Which represents the equation 6x+3y= 12 whO y=-2x+4O y = 2x+4Oy=-2x-4O y=2x-4

Answers

Given the equation:

6x + 3y = 12

We need to solve for y. Dividing by 3:

2x + y = 4

Subtracting 2x:

y = -2x + 4

First choice

david borrowed $4 from his mother each of the last tree months how much money does he owe his mother?

Answers

Answer:

12$

Step-by-step explanation:

He borrowed 4$ for three months.

4 x 3 = 12.

Answer = 12.

Hope this helps!

(Brainliest would mean a lot to me, thanks!)

What is the correct answer there are more selective choices I’ll show you later

Answers

It’s 10 last option

1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84Mean:Median:

Answers

Answer:

[tex]\begin{gathered} \text{ Mean=78.625} \\ \text{Median}=84 \end{gathered}[/tex]

Step-by-step explanation:

The mean is the sum of all the values in a set of data, divided by the number of values on the list.

Hence, the mean of Brian's math test scores:

[tex]\begin{gathered} \text{ Mean= }\frac{86+90+93+85+79+92+20+84}{8} \\ \text{ Mean=}\frac{629}{8} \\ \text{ Mean=78.625} \end{gathered}[/tex]

The median is the middle number in a sorted, ascending or descending, list of numbers:

Arrange the data set from smallest to largest, if the number of data set is even, the median is the average of the two middle data points in the list.

[tex]20,79,84,82,86,90,92,93[/tex]

Hence, the median is the average of 82 and 86:

[tex]\begin{gathered} \text{Median}=\frac{82+86}{2} \\ \text{Median}=84 \end{gathered}[/tex]

a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why?

Answers

Part (a)

The dependent variable should be y for a function y=f(x).

Therefore, in this case dependent variable is profit

Part (b)

The independent variable is number of tickets sold.

Part (c)

Consider two coordinates in the graph (40,60) and (20,30).

Then, the slope will be,

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ =\frac{60-30}{40-20} \\ =1.5 \end{gathered}[/tex]

Therefore, the avlue of slope is 1.5.

Part (d)

The slope is the rate of change profif with repect to the number of tickets sold for a circus.

Part (e)

From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).

6. Three formulas for calculating present value are shown below.Formula #1Formula #2Formula #311PV =FV(1 + i)PVOA = CG--)PVAD = CG--T) +0Ci(1 + i)nti(1+i)nt-1Part 1: Using complete sentences, explain how each of these formulas is used.Part 2: Create an example scenario for at least one of the formulas.(3

Answers

SOLUTION:

Case: Present Value

Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.

Part 1

[tex]PV=\frac{FV}{(1+i)^{nt}}[/tex]

Sentence:

The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).

Part 2:

Present Value of Ordinary Annuity

[tex]PVOA=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt}}][/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods is multiplied by annuity payments

Part 3:

Present value of Annuity due

[tex]PVAD=C[\frac{1}{i}-\frac{1}{i(1+i)^{nt-1}}]+C[/tex]

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments

Example of Part 1 (Present Value)

What is $56000 in 5 years time worth now, at an interest rate of 10%?

HELPPPPPPPPPPDIDEOEOEKEKMEMENDNDNDNDND

Answers

1. No
2. No
3. No
4. Yes

Explain how to undo pemdas with this equation and find answer

Answers

Given that Sarah spent half of her weekly allowance.

She earns $4.70 for washing dogs.

The final amount is $ 13.50.

Let x be the weekly allowance.

She spent half of her allowance so she has half of the allowance.

[tex]\frac{x}{2}[/tex]

She earns $ 4.70, add this to her half of the allowance.

[tex]\frac{x}{2}+4.70[/tex]

This is equal to 13.50.

[tex]\frac{x}{2}+4.70=13.50[/tex]

Subtracting 4.70 from both sides, we get

[tex]\frac{x}{2}+4.70-4.70=13.50-4.70[/tex]

[tex]\frac{x}{2}=8.80[/tex]

Multiplying 2 on both sides, we get

[tex]\frac{x}{2}\times2=8.80\times2[/tex][tex]x=17.60[/tex]

Hence Sarah's weekly allowance is $ 17.60.

6 3 2 1 -6 -5 4 22 10 2 3 6 13 What kind of transformation does the graph show? A) flip B) rotation 9 slide D) translation

Answers

Student did not provided any picture and became unresponsive.

Help! Help! 9261 divided by 57

Answers

162.4736842 is 9261 divided by 57

Between which steps does Morgan use the subtraction property of equality to justify her work?

Answers

Morgan uses the subtraction property of equality in step 5.

What is the subtraction property of equality?

The subtraction property of equality describes the balancing of an equation by subtracting the same value on both sides of the equality.

There is also the addition property of equality which states adding the same number to both sides of the equality also balances an equation.

Given Morgan's work Step 1 - 6(x+5) = 25.

Step 2 - 6(x) + 6(5) = 25 .                          (Distributive property).

Step 3 -  6x + 30 = 25.

Step 4 -  6x + 30 - 30 = 25 - 30          (Subtraction property of equality)

learn more about the subtraction property of equality here :

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Select all correct solutions for the equation.

15(2x - 10) + 4x = -2(15x + 4)


A. x = 2.21875

B. x = 14264x = 14264

C. x = 35.5

D. x = 7132x = 7132

E. x = 39.5

F. x = 792x = 792

G. x = 714

Answers

Answer:

Step-by-step explanation:

We can rewrite:

15(2x-10) + 4x = -2(15x+4)

gives

30x - 150 + 4x = -30x -8

Adding 30x on both sides and adding 150 on both sides gives us:

30x + 4x - 150 + 30x + 150 = -30x - 8 + 150 + 30x

which gives us: 64x = 142

We can now divide both sides by 64, which gives us:

x = 142 / 64 = 2.21875

So the only right answer is A

You can fill in all the other options into the starting equation if you want too see this is indeed true

How many pounds of N are in 2 tons of manure (4.8% N)?

Answers

Answer: 192 lbs

Total weight of manure = 2 tons

Step1: we need to converts tons to pounds

1 ton = 2000 lb

2 tons = x lb

Cross multiply

2 x 2000 = 1 * x

x = 2 x 2000

x = 4000 lbs

Therefore, 2 ton of manure = 4000 lbs of manure

We have 4.8% of N in the manure

Pounds of N = 4.8/100 x 4000

Pounds of N = 0.048 x 4000

Pounds of N = 192 lbs

The pounds of N in 2 tons of manure is 192 lbs

3z - 8xyz + 4x^2y^2z please solve this

Answers

Answer:

z(3-8xy+4x^2y^2)

There are eight turtles 15 fish and 17 pelicans what percent of the animals are pelicans

Answers

The number of animals are given as;

[tex]\begin{gathered} \text{Turtles}=8 \\ \text{Fish}=15 \\ \text{Pelicans}=17 \\ \text{Total animals}=40 \end{gathered}[/tex]

The percentage that are pelicans would be calculated as follows;

[tex]\begin{gathered} \text{Percentage Pelicans}=\frac{17}{40}\times\frac{100}{1} \\ \text{Percentage Pelicans}=\frac{1700}{40} \\ P\text{ercentage Pelicans}=42.5\text{ } \end{gathered}[/tex]

ANSWER:

The percentage of the animals that are Pelicans is 42.5%

Write the equation of the function shown below. Identify domain and range.

Answers

The function can be split in 2 straight lines: the first one from x = 2 to the left, and the other one from the same point to the right.

Now, a straight line equation is of the form

[tex]ax+m[/tex]

Where a is the slope and m is the y-intercept.

"Left" line:

- m (y-intercept):

To find it we need to see where the line cross (intercepts) the y-axis. From the figure we can see that m = -2.

- a (slope):

To calculate the slope, we can use the following equation:

[tex]a=\frac{\Delta y}{\Delta x}[/tex]

Where, chossing 2 points in the line, we have:

[tex]\begin{gathered} \Delta y=how\text{ much do we move up or down between the 2 points} \\ \Delta x=\text{ how much do we move to the right betw}en\text{ the 2 points} \end{gathered}[/tex]

Look that for x we have to move to the right. Let's see a drawing:

In our case, we can take the points (0, -2) and (2, 4), so, we have:

[tex]a=\frac{\Delta y}{\Delta x}=\frac{4-(-2)}{2-0}=\frac{6}{2}=3[/tex]

So, we have the equation for the "left" line:

[tex]3x-2[/tex]

-"Right" line:

- m (y-intercept):

In this case we can not see where the line cross (intercepts) the y-axis. Let's leave this for latter.

- a (slope):

As we did before, we can pick to points on the line, like (3, 1) and (2, 4).

[tex]a=\frac{\Delta y}{\Delta x}=\frac{1-4}{3-2}=\frac{-3}{1}=-3[/tex]

- m (y-intercept) continues:

We now know that the equation for this line is:

[tex]-3x+m[/tex]

To find m, we can pick one single point and solve for that variable. For example, taking the point (2,4), we have:

[tex]\begin{gathered} y=ax+m \\ y=-3x+m \\ 4=-3\cdot(2)+m \\ 4=-6+m \\ 4+6=m \\ 10=m \end{gathered}[/tex]

And so, for the right line, we have:

[tex]-3x+10[/tex]

Finally, the equation of the function can be written as:

[tex]f(x)=\begin{cases}3x-2\text{ if x }\leq\text{ 2} \\ -3x+10\text{ if x }\ge\text{ 2}\end{cases}[/tex]

Now, the domain of the function is the set of points (or numbers) for which the function has values. The set of departure. In this case, all the numbers can be "trasnformed" or mapped with this function, so the domain is all the numbers, the set of real numbers, R:

[tex]\begin{gathered} -\inftyLastly, the range of the function is the complete set of all possible resulting values after aplying the function. We can see that the function can takes, as maximum, a value of 4, then the range is:[tex]\begin{gathered} (\infty;\text{ 4}\rbrack \\ or \\ y\leq4 \end{gathered}[/tex]

Whats 5 and 6/4 ×8 and 9/6

Answers

Given that 5 6/4 x 8 9/6

Firstly, we need to convert the mixed fraction into improper fractions

[tex]undefined[/tex]

Calculate the population growth rate for Brazil:
r = (CBR + Immi) - (CDR + Emigr)
CBR = 2.6%, Immi = 2%, CDR = 2.3%,
Emig = 2%
(Portions of the numeric data are factual.)

Answers

0.3% is the population growth rate for Brazil.

How to find the population growth rate?

CBR = 2.6%

Immi = 2%

CDR = 2.3%

Emig = 2%

Solution:

r = (CBR + Immi) - (CDR + Emigr)

r = (2.6 + 2) - (2.3 + 2)

r = 4.6 - 4.3

r = 0.3%

0.3% is the population growth rate for Brazil.

To learn more about the population growth rate, refer

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Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points

Answers

[tex]\begin{gathered} \Rightarrow x_1=-1,y_1=16,x_2=5,y_2=-8 \\ \text{The line of equation is,} \\ (y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-16=\frac{-8-16}{5+1}(x+1) \\ y-16=\frac{-24}{6}(x+1) \\ y-16=-4(x+1) \\ y-16=-4x-4 \\ y=-4x+16-4 \\ y=-4x+12 \end{gathered}[/tex]

=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.

Answers

In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.

[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]

The answer is approximately -7.24.

1/6 of a number r decreased by 24 what is the algebraic expression

Answers

1/6a-24 ok ok ok ok ok

what is 7754-(9x34)+667

Answers

Answer:

the answer is 8115

Step-by-step explanation:

you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.

60 is 24% of what number?

Answers

Explanation

Question

60 is 24% of what number?

Let the number be n.

is represent = in mathematics

of represent x

60 is 20% of what number?

60 = 20% x n

[tex]undefined[/tex]

6. Taylor lost 5 chips to Minnie while playing a card game. Taylor then lost 20 chips toSally in the second round. Taylor won 10 chips from Paul in the 3rd round. Howmany chips did Taylor make or lose during these 3 rounds?

Answers

Step 1

[tex]\begin{gathered} \text{Given; } \\ \text{Taylor lost 5 chips to Minnie in round 1} \\ \text{Taylor lost 20 chips to Sally in round 2} \\ \text{Taylor won 10 chips from Paul in the 3rd round.} \end{gathered}[/tex]

Step 2

Find how many chips Taylor made or lost during these 3 rounds.

[tex]\begin{gathered} \text{Taylor made 10 chips} \\ \text{Taylor lost (20+5) chips} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Total chips made or lost= 10+(-25)} \\ \text{Total chips made or lost}=10-25=-15 \\ \text{The negative sign means he lost chips} \end{gathered}[/tex]

Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.

Therefore, Taylor lost 15 chips in the 3 rounds

going to send u a pic of the q

Answers

we have the phrase

fifteen occupant or less

[tex]\begin{gathered} n\leq15 \\ n\ge0 \end{gathered}[/tex]

Remember that the occupants can not be negative numbers

so

n=0,1,2,3,.....,15

we have

seventy stadiums or more

the algebraic expression is

[tex]n\ge70[/tex]

so

n=70,71,72,73,...

option Abecause the number of stadiums must be a whole number be a

Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current rent. Let r represent Cody's current rent. Set up an equation and solve it to fibd the value of r.

Answers

Given :

Cody's rent is increasing by $51 per month starting next year.

That is an increase of 15% from his current rent.

Let the current rent = r

so, the increase = 15% of r = 0.15r

So, the equation that represent the situation is :

[tex]0.15\cdot r=51[/tex]

Solve for r :

[tex]r=\frac{51}{0.15}=340[/tex]

So, the current rent = $340

The rent for the next year = 340 + 51 = $391

The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?

Answers

Answer:

120 square inches

Step-by-step explanation:

L = 36 feet

W = 30 feet

Scale:

l = 12 inches (1 foot)

w = 10 inches because 30/36 = 10/12..

10x12 inches = 120 square inches

Other Questions
Select the correct answer. Which graph represents the solutions to this equation? x2 + 8x = -20 A. Linear-quadratic system graph shows upward parabola with vertex at (minus 2, 4) and passing through x and y-axis (minus 8, 0), and (0, 0) B. Linear-quadratic system graph shows upward parabola with vertex at (minus 4, 4) and passing through (minus 2, 8), and (minus 6, 8) C. Linear-quadratic system graph shows upward parabola with vertex at (4, 0) and passing through (1, 4), and (6, 4) D. Linear-quadratic system graph shows a downward parabola with vertex at (0, 8) which intercepts the x-axis at 3 and minus 3 units. Reset Next Which expressions are equivalent to 6 +(x) + 2x + (7) + 2x? Check all that apply.x + x + 6 7 + x2x + 2 + x3 x + 2x 4 + 2xx 1x + 1 ? Please help, the only answer I've seen is A, but it's multiple choice. 4. (01.02 LC)Brandi earned $59.00 in interest after one and one half years on an account that paid 5.5% simple interest annually. Use the formula / -Prt to find Brand's principal balance. Round to the nearest hundredth. (1point)O $486.75$535.23$617.98O $715.15 Which of the following topic sentences is appropriate for a persuasive paragraph? a. The Golden Gate Bridge took over four years to be constructed and opened to traffic on May 28, 1937. b. While they are popular beauty treatments, manicures and pedicures pose several dangers to patrons. c. From 1962-1970, The Beatles released 12 studio albums, 13 EPs, and 22 singles. according to the theory of comparative advantage, countries gain from trade because world output can rise when each country specializes in what it does relatively best. trade makes firms behave more competitively, reducing their market power. output per worker in each firm increases. every country has an absolute advantage in producing something. The pair of values below is form an inverse variation find the missing value (3,16) (10,y) Examine this image of part of a flower ovary under magnification. What types of structures do you see inside of the ovary? Sociologist Robert Merton's Merton defined five ways people respond to the gap between having a socially accepted goals and having no socially accepted way to pursue them. What type are those people who accept society's goals and but reject socially accepted means to achieve these goals, and come up with new deviant ways to achieve their goals? Solve:x + 2y + z = 82x + y - z = 1x + y 2z = - 3 a client comes to the facility reporting acute pain. when assessing the client, the nurse understands that moderate, superficial acute pain can result in which sympathetic physiologic response(s)? select all that apply. I need help with this!! 4. Ms. Ruggiero is rewarding her best class for doing outstanding on the final exam with a virtual pizza party. The pizzas are $8.75 each. On top of buying the pizza, she buys herself an order of wings for $4.25, pays 9.25% sales tax, and tips the clerk 15% after tax. How many pizzas can she buy with $50? is there anyone here who can teach me HTML you want a security solution that protects the entire hard drive and prevents access even if the drive is moved to another system. which solution should you choose? A piece of wood that measures 3.0 cm by 6.0 cm by 9.0 cm has a mass of 80.0 grams. What is the density of the wood? Would the piece of wood float in water? Romeo walked 12 12 kilometers. If he averaged 312 kilometers per hour, how long did it take him to walk this distance? Which is the correct order of entities who benefit when banks make a profit1. employees, shareholders, and the economy2. shareholders, shoppers, and the economy3. employees, companies, and the economy4. shareholders, companies, and the economy which of these is a run-on sentence? In 1996, the World Trade Organization (WTO) ruled that the U.S. Environmental Protection Agency (EPA) regulation calling for cleaner gasoline discriminated against foreign producers and violated WTO agreements. The EPA was forced to rewrite the rule to allow for dirtier gasoline. What effect did this revision likely have on world trade?A.The revision probably decreased world trade because gasoline that previously couldn't be sold in the United States had to be sold in other countries.B.The revision probably increased world trade because gasoline that previously couldn't be sold in the United States was then allowed to be sold there.C.The revision probably decreased world trade because gasoline that previously couldn't be sold in the United States was then allowed to be sold there.D.The revision probably increased world trade because gasoline that previously couldn't be sold in the United States was made to meet a higher environmental standard 3. Which of the following is parallel to the line y = 3/4x +7? one mile is equal to 5280 feet