What will be the new function g(x) if f(x)=2x is translated 2 units down and 3 units left?

Answers

Answer 1

2 units down means y is decreased by 2

3 units left mean x is decreased by 3

So

for

f(x)=2x

The translation is

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

Related Questions

Select all the correct measures of center and variation for the following data set.

10, 20, 31, 17, 18, 5, 22, 25, 14, 43



First quartile = 12



IQR = 11



Median = 19



Third quartile = 25



MAD = 7

Answers

Answer:

Median = 19

IQR = 11

Third quartile = 25

Step-by-step explanation:

Just caculate it...

The perimeter of a rectangular field is 48m, if the length is twice the width . Find the area of the field.​

Answers

Answer:

Step-by-step explanation:

→Perimeter (P)  = 2×(L+W)              Perimeter = 48m

But Length = 2 × Width

∴ P = 2×( 2W + W)

       = 2×(3W)

  48 = 6W

Divide both sides by 6

          [tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W

∴Width (W) = 8m  

→This means Length = 2W

                                = 2×8m

                             L = 16m

→Area of a rectangle = L × W

                               = 8m × 16m

     ∴ Area of the rectangular field= [tex]128m^{2}[/tex]                  

Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, and
PR = 9 in, and OR = 3 in.
P
R
M
62 in
6300 in?
248 in
3
o 2354 in
3

Answers

Answer:

B. 6300

Step-by-step explanation:

PLEASE I BEG OF YOU HELP ME

Answers

It is 90 I believe please tell me if I was wrong

pls, help! and explain

Answers

Answer:

I can't seem to work out the other two, sorry

Step-by-step explanation:

1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5

4. -> g. because there are 10 letters so it's 10/10 which gives us 1

Answer:

CEFG

Step-by-step explanation:

1. P = 4/10 = 2/5

2. P= (4/10)(4/10)=16/100=4/25

3. P= (4/10)(3/9) = 12/90 = 2/15

4. P = 12/12 = 1

Hope this helps

Please help me! I would appreciate it a lot!

Answers

Answer:

d

Step-by-step explanation:

A sequence of transformations that maps ^RST to ^R'S'T' is a _______ followed by a _____.​

Answers

Answer: Reflection followed by a translation

Step-by-step explanation:

     First, RST is reflected along the x-axis.

     Then, RST is translated one unit down into R'S'T' giving us what we're looking for.

equation for parallel and perpendicular

Answers

Answer:

Parellel: y=-2x+17

Perpendicular: y=2x-3

Step-by-step explanation:

Hope this helps! ;-)

Divide the number 1080 into two parts with a ratio of 4: 1.

Answers

Answer:  It breaks up into 864+216

Reason:

x = some positive real number

The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080

4x+1x = 1080

5x = 1080

x = 1080/5

x = 216

We can then find 4x = 4*216 = 864

As a check: 864+216 = 1080, so the answer is confirmed.

Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.

Answers

Answer:

(5, -3)

Step-by-step explanation:

Solve for x and solve for y by making each set of brackets equal to 0

Please graph y=log3(x+2) and then find the asymptote domain and range​

Answers

Answer:

Step-by-step explanation:

y = a * log_b (x - h) + k

(h,k) = (x,y)

h = shift right/left

k = shift up/down

Original Points of y = log_3

y = log_3 (x + 2)

h = -2 thus shift left.

Asymptote: x = -2
Domain: [-2 , +inf)

Range: (-inf , +inf)

A square has an area of 121 square centimetres.
What is its perimeter?

Answers

Answer:

  44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

  s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

  P = 4s = 4(11 cm)

  P = 44 cm

The perimeter of the square is 44 cm.

Answer:

44 cm

Step-by-step explanation:

Finding Side Length

Area = (Side length)²Take the square root on each sideSide length = √121Side length = 11 cm

Perimeter

A square has 4 sidesTherefore, the perimeter is 4 times the side length4 × 1144 cm

Solve for x in the first equation, then solve the system using substitution. Write your answer as (x, y).
2x-6y=14
4x - y = 9

Answers

Answer:

( 18.4, 4.6 )

Step-by-step explanation:

2x - 6y  = 14

Add 6y to both sides

2x = 6y + 14

divide both sides by 2

             x = (3y + 7)

Substitute this ^ for x in the othe equation

4 (3y + y) - y = 9

distribute the 4

12y + 4y - y = 9

combine like terms

15y = 9

divide both sides by 15

y = 4.6

Now substitute this value for y in the equation we previously substituted .to find the value of x

x = 3 (4.6) + 4.6

x = 13.8 + 4.6

x = 18.4

Hope this makes sense and was helpful!

x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?


Answers

Answer:

The value of y is 4.

Step-by-step explanation:

Note the system of equation:

x + y = 24

5y = x

First, plug in 5y for x in the first equation:

x + y = 24

(5y) + y = 24

Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:

(5y + y) = 24

(6y) = 24

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:

(6y)/6 = (24)/6

y = 24/6 = 4

Now, plug in 4 for y in one of the given equations in the system of equation:

x + y = 24

x + (4) = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:

x + 4 = 24

x + 4 (-4) = 24 (-4)

x = 24 - 4

x = 20

x = 20 , y = 4

~

Check. Use the other equation. Plug in 4 for y, and 20 for x:

5y = x

5(4) = (20)

5 * 4 = 20

20 = 20 (True)

~

The value of y is 4.

Please solve (20 points)

Answers

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)

Plane 2 (48°)

tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)

Equate Equations 1 and 2 :

3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 m

Taking the sin ratio to find distance :

sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 m

2(1 + 4)2 x (9-6)
3



Answer please

Answers

2(1+4)2 x (9-6)3

4(5) x 3(3)

20 x 9

180

What is the next step?

Answers

Answer: Subtract

Step-by-step explanation: Subtract 237 from 224.

Answer:

74. 25

Step-by-step explanation:

   After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.

helppppppppppppppppppppp

Answers

Answer:

10 duh

Step-by-step explanation:

need the answer asap

Answers

Answer:

The price for ounce is: $0.25 and she bought 16 ounces of straberris

Step-by-step explanation:

If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25

Please help with does 3 questions am trying to get my grade up

Answers

It’s b because 240 minus 80 equals to 160

Which one geos first to last 3/4 or 1/3 or 5/8

Answers

3/4, 5/8 and 1/3(decreasing order)

Is y=cos(x)/x an odd function, even function, or neither

Answers

The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm y = \dfrac{cos(x)}{x}[/tex]

From the definition of the even and odd function:

If f(-x) = f(x) then it is an even function

If f(-x) = -f(x) then it is an odd function

[tex]\rm y(-1) = \dfrac{cos(-x)}{-x}[/tex]

[tex]\rm y(-1) = -\dfrac{cos(x)}{x}[/tex]

cos(-x) = cosx

Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

Learn more about the function here:

brainly.com/question/5245372

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3/4 : 6/x = 3/8 : 4/5 : 6/7

Answers

The value of x will be equal to 3 for the given expression.

What is a fraction?

The fraction is defined as the division of the whole part into an equal number of parts.

Given expression is solved as:-

[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]

[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]

[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]

x = 3

The value of x will be equal to 3 for the given expression.

Therefore the value of x will be equal to 3 for the given expression.

To know more about fractions follow

https://brainly.com/question/78672

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What’s a good estimate for 2,745 x 6.9? Show how you got you estimate.

Answers

Answer:

21000

Step-by-step explanation:

2745 -> 3000

6.9 -> 7

3000 x 7 =

21000


Karissa liked to measure the snowpack at her house. On Tuesday, the snowpack was 6 inches deep. On Wednesday, 2 inches had melted. How
much snowpack was left?

Answers

Answer: 4 inches was left

PLS HELPPPPPP!!!!!!
The functions graphed shows the distances, in miles, for two drivers x hours after driving.

Select ALL correct statements about the graph.

Question 5 options:

The intersection (1, 60) indicates the time in hours when Celia and Tayvin are traveling at the same speed.


Celia drove at a faster rate than Tayvin.


Tayvin drove at a faster rate than Celia.


The intersection (1, 60) indicates the time in hours when Celia and Tayvin are the same distance from the city.

Answers

Answer:

selection 1 ,2

Step-by-step explanation:

Celia. 60km/hr

Tayvin. 50km/hr

1. Kayla and Heidi each buy a tiger. Kayla pays for her tiger using a $10 bill and two $1 bills. Heidi pays for her tiger using a $20 bill and a quarter. How much change does each girl receive? a tiger costs 11.23$​

Answers

Answer:

Kayla gets $0.77 back, Heidi gets $9.02 back

Step-by-step explanation:

12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)

20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)

16. Farhan bought a bag and a wallet at a discount from a store. He was
given a discount of 30% for the bag. For the wallet, a discount was also
given. He saved a total of $66.60.
He paid a total of $121.40 for the 2 items and paid $46.60 more for the
bag than the wallet.
a) What was the price of the bag without discount?
b) What was the percentage discount given for the wallet?

Answers

A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Percentages

Given that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:

(121.4 - 46.6) / 2 = Wallet37.4 = Wallet

1-0.3 = 0.70.7 = 841 = X84 / 0.7 = X120 = X

66.6 - (120 - 84) = X66.6 - 36 = X30.6 = X68 = 10037.4 = X37.4 x 100 / 68 = X55 = X

Therefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Learn more about percentages in https://brainly.com/question/24159063

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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Step-by-step explanation:

If a fair die is rolled 5 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 2 threes?

Answers

Answer:

0.965 to the nearest thousand.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(getting no 3's) = (5/6)^5 = 0.4019

Prob(getting  1 * 3 )   = 5C1(1/6)(5/6)^4 = 0.4019

Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608

So required probability = 2 * 0.4019 + 0.1608

= 0.9646

PLEASE HELP quick




………

Answers

Answer:

50

Step-by-step explanation:

1/2 x base x height

In this problem: (It's times 2 because I split it up into 2 triangles.)

1/2 x 10 x 5 x 2 =

50

hope this helps

have a good day

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