100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)

Answers

Answer 1

Answer:

l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

A dilation by a factor of 4 with the origin as the center of dilation

This results in both coordinates multiplied by 4(x, y) → (4x, 4y)

A reflection across the y-axis

This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)

A 90° counterclockwise rotation about the origin

This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)

A translation 3 units down

This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)

The final function is:

l(x) = (-4y, -4x - 3)

Answer 2

Answer:

l(x) = (-4y, -4x - 3)

I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(


Related Questions

SHOW STEPS PLEASE...

Answers

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70

Answers

The answer to the question is C

The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

What is interest?

Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.

For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.

Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.

Emma invested in Simple interest and Paul invested in compound interest,

We need to find the amount of both after 8 years.

Formula to be used =

Simple interest = PRT / 100 [p = principal, r = rate and t = time]

Compound interest =

A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]

So,

Emma's account after 8 years =

2000 × 6 × 8 / 100 + 2000 = $2960

Paul's account after 8 years =

A = 2000(1+0.06)⁸

A = $3187.7

Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

Learn more about interests, click;

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40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Don’t mind the equation above the plot. Hope this helps:)

Answer:

2 0 4 3 1.

Step-by-step explanation:

u mean 10 points

Kareem said that four fifths of his age is 16years how old is Kareem?

Answers

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.

Answers

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

4(x + 1) – 2x = 5 – x , what is the value of x ?

Answers

Answer:

x=3

Step-by-step explanation:

4(x+1) -2x = 5-x

divid 4 by whats in parentheses

4x+4 -2x =5-x

combind 4x and -2x

2x+4=5-x

combind 2x and x

3x+4=5

subtract 4 from 5

3x=1

3÷3 and 1÷3

x=3

Answer:

x = 0.33

Step-by-step explanation:

4(x + 1) - 2x = 5 - x

4x + 4 - 2x = 5 - x

4x - 2x + 4 = 5 - x

2x + 4 = 5 - x

2x + x + 4 = 5 - x + x

3x + 4 = 5

3x = 5 - 4

3x = 1

3x ÷ 3 = 1 ÷ 3

x = 0.33

Multiply two negative numbers to get 18​

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

(-9) × (-2) = 18

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

(-9*-2=18)

this * means multiply you probably already know that

X-11=28 Show work I. Need helpp

Answers

Answer:

39-11=28 so that means X=39

Step-by-step explanation:

all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer

Answer:

x = 39

Step-by-step explanation:

step 1.

Add 11 to both sides

x - 11 = 28

x - 11 + 11 = 28 + 11

step 2. Add the numbers

− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!

The side adjacent to ∠W is …
Question 1 options:
side 34

side WU

side 90

side VW

Answers

The side adjacent to ∠W is side WU.

9514 1404 393

Answer:

  (b)  side WU

Step-by-step explanation:

With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".

The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.

(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)

Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.

Answers

Answer:

180,000

Step-by-step explanation:

You got to multiply all the numbers and then divide by 600 and then you het your anwser

Someone please answer this without trying to send me a link

Answers

Answer:

y=-2x+5

Step-by-step explanation:

y=-2x+5


Terrell ran around a track that was 100 yards long.
How many feet did he run?

Answers

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Convert 562 hectograms to pounds to the nearest hundredth

Answers

Answer:

Is that your answer

Answer:

123.90

Step-by-step explanation:

1 Hectogram = 0.22 lbs

[tex]562*0.22=123.90\\[/tex]

The probability that it will rain on any given day is 15% or 0.15. Find the probability it will rain at least once in the next three days.

Answers

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

Find the product. 2 (-5)

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

a positive times a negative is a negative number

and 2 x 5 is 10

so it`s -10

Find the mean absolute deviation (MAD) of the data in the pictograph below.

Answers

Answer:

its 1

Step-by-step explanation:

What’s the volume of each cylinder

Answers

Answer:

471.24 is cylinder A

282.74 is cylinder B

Step-by-step explanation:

https://www.calculator.net/volume-calculator.html

here's the calculator I used.

If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?

Answers

Answer:

$150

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or: I= p * r * t

What is the simplified value of the expression below?

StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50

Answers

Answer:

C: 110.25

Step-by-step explanation:

The simplification form of the provided expression is 18.25 option (A) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]

= (56 + 90)/8

= 146/8

= 18.25

Thus, the simplification form of the provided expression is 18.25 option (A) is correct.

Learn more about the expression here:

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Can someone help me with this
(show work)

Answers

Since each calculator is an x amount of money, you’ll have to divide by “x” or in this case, $31.25. Now, we know how much money they’ve spent, that being $500, so it makes things fairly simple,

500 / 31.25 = 16 calculators.

Leaving us with the answer being 16 calculators.

Answer:

16

Step-by-step explanation:

$500 ÷ $31.25 = the number of the calculator that the school bought

It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.

Hope this helps! :)

multiply the polynomial
(x-1)(2x^2-5x+1) 

Answers

Answer:

2x^3 - 7x^2 + 6x - 1

Step-by-step explanation:

Thank me later lol.

Fill in the blanks
will choose brain

Answers

5,20,45 I sure that’s the correct answer

Which of the following is the solution to ?

Answers

Answer:

Could you add more info?

Step-by-step explanation:

PLEASE HELP ME W THIS

Answers

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

what is the radius of a sphere whose surface area is 100cm²?

Answers

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

please help me someone i really need this to get my grade up :(

Answers

Answer: D

2 1/2 divided by 1/4 = 10

hope this gets ur grade up keep trying ur best!! :D

What is 48 divided by 613

Answers

Answer:

0.07830342577 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Answer:

0.07830343

Step-by-step explanation:

Simplify (-3/5) divided by (7/6)

Answers

-18/35 is the answer to (-3/5) divided by (7/6)

Which of the equations below could be the equation of this parabola?

Answers

Answer:

The correct answer is C

Your welcome:)

The equation below could be the equation of this parabola is y = -5x².

Option A is the correct answer.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:

y = a x², where a is a positive constant.

Now,

The only equation that fits this form is y = -5x².

Thus,

The equation below could be the equation of this parabola is y = -5x².

Learn more about parabola here:

https://brainly.com/question/21685473

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