write a function G whose graph represents the indicated transformation of the graph f
[tex]f(x) = \frac{2}{3} {x}^{2} + 2[/tex]
vertical stretch by a factor of 3

Answers

Answer 1

Answer:

[tex]G(x) = 2x^2+6[/tex].

Step-by-step explanation:

The given function is

[tex]f(x) = \frac 2 3 x^2 +2[/tex]

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, [tex]G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6[/tex]

Hence, the required function is [tex]G(x) = 2x^2+6[/tex].


Related Questions

Which point represents the quotient of StartFraction 4 + 3 I Over negative I EndFraction ? A B C D

Answers

Answer:

in my knowledge

option A...

Step-by-step explanation:

....

...

...

..

Answer:

B

Step-by-step explanation:

What is the solution set of {x | x 5}?

1. the empty set
2. all real numbers
3. the numbers between -5 and 5
4. all numbers less than -5 and greater than 5

Answers

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

Simplify the expression:
5.1 + 8.8t - 2.2t + 7.4t

Answers

Answer:

14t + 5.1

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

5.1 + 8.8t - 2.2t + 7.4t

Step 2: Simplify

Combine like terms (t):                    14t + 5.1

What is the least common multiple of 12 and 22


Please help me

Answers

Answer:

Least common multiple (LCM) of 12 and 22 is 132

Step-by-step explanation:

2637737272828288 x 27277272782728282 =?

Answers

Answer:

21

Step-by-step explanation:

Sorry I had too

Give the equation of a line that is perpendicular to
f(x)= 3x+1 and goes through the point (0, -6).

Answers

Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6

Divide and simplify
ax + ay + bx + by/
x+y

Answers

Answer:

a + b

Step-by-step explanation:

ax + ay + bx + by

a(x +y) +b(x + y)

(a + b) ( x + y)

therefore (a + b) ( x + y) divide x+y

x + y is canceled out both in the denominator and numerator

= a+b

Answer:

a + b

Step-by-step explanation:

write 0.414141414141 as a fraction?

Answers

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

[tex]let \: x \: be \: fraction,[/tex]

[tex]x = 0.414141.....[/tex]

[tex]100x = 41.414141.....[/tex]

[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]

[tex]99x = 41[/tex]

[tex]x = \frac{41}{99} [/tex]

Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime​

Answers

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4

Answers

Answer:

B. 4/3

Step-by-step explanation:

[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]

Answer:

B. 4/3

Step-by-step explanation:

(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)

4^-3 . 4^2/ 4^-2 . 3^4/ 3^5

4^(-3+2-(-2)) . 3^(4-5)

4^1 . 3^-1

4 . 1/3 = 4/3

Which product is represented by the model? A hundred grid model shows 5 columns shaded and 4 rows shaded. The intersecting area is an array that is 5 by 4. A. 0 . 05 × 0 . 04 = 0 . 002 B. 5 × 0 . 4 = 2 C. 0 . 5 × 0 . 4 = 0 . 2 D. 0 . 5 × 0 . 04 = 0 . 02

Answers

Answer:

0.05 x 0.04 = 0.002

Step-by-step explanation:

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

Find:

Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

Fill in the information in the table. The first is done for you

Answers

Answer:

≥                                         closed dot

<                                           open dot

≤     less than or equal to   closed dot

There are the missing blanks

If p(x)= x^2 - 2root2x + 1, then p(3root2)= ?

Answers

Answer:

19 - 2^(7/4)√3  or

13.174 to nearest thousandth.

Step-by-step explanation:

I am interpreting this as x^2 - 2√(2x) + 1

p(3√2) = (3√2)^2 - 2√(2*3√2) + 1

= 18 - 2√(6√2) + 1

= 19 - 2* √6 * 2^1/4

= 19 - 2*√2*√3*2^1/4

= 19 - 2^(7/4)√3.

=  13.174 to the nearest thousandth.

5(4x+8). Answer this questions I already know the answer. Since winter break is over. Tell me what you got for Christmas. Also, Happy New Years

Answers

Answer:

20x + 40

Step-by-step explanation:

5(4x + 8)

20x + 40

Happy Holidays! For Christmas, I got something... what was it again? Hmm I think it was a pair of earbuds :D

Well on Christmas I just made chocolates and ate them-

As for New Years, Happy New Year! :D

Answer: I got a kitty headphones, and this games board and also a letter of my name :)

Step-by-step explanation:

Can someone please simplify this expression?
8.6f + 9.2 - 7.2 - 7.2f

Answers

Answer:

Step-by-step explanation:

8.6f-7.2f+9.2-7.2=1.4f+2=2(0.7f+1)

Bianca uses an overhead projector to explain a new concept to her students. The width of the projected image was 24 feet. The width of the original image was 120 inches . Find the scale factor used to enlarge the image .

Answers

Answer: 10% of 65.9

Step-by-step explanation:

one number is three times another, and four times the smaller added to five times the greater amounts to 133; find them​

Answers

Step-by-step explanation:

S=smaller number; L=larger number=3S

.

4S+5L=133

4S+5(3S)=133

4S+15S=133

19S=133

S=7 ANSWER 1: The smaller number is 7.

.

L=3S=3(7)=21 ANSWER 2: The larger number is 21.

.

CHECK:

4S+5L=133

4(7)+5(21)=133

28+105=133

133=133

what is the unit rate for the cost of pizzas

Answers

It is 2.60 a slice also knows as 2.60x



7th grade math plss helpp

Answers

Answer:

2x-2=-4

5/8x3/5= 15/40 then u simplify and get -4 3/8

Answer:

a

Step-by-step explanation:

Which expression can be used to find 3 x 2,354
A. (3 x 2,000) = 354
B. (3 x 2,000) + (3 x 300) + 54
C. (3 x 2,000) + (3 x 300) + (3 x 50) + (3 x 4)
D. (3 x 2,000) + (300 + 50 + 4)

Answers

D.
Because if you break it down and split the digit place value you can start by doing 3×2000+300+50+4 is going to equal 7062 which is D.

How long is the light beam from the top of the lighthouse to the ground? Round to the nearest tenth. The light house is 25m tall and a boat is 180m from the base

Answers

Answer:

181.7m

Step-by-step explanation:

The set up is a right angled triangle with;

Height of the light house = 25m = opposite side

The distance of the boat from the base = 180m = Adjacent

The distance of the light beam from the house = Hypotenuse = x

Using pythagoras theorem;

x² = 25²+180²

x² = 625+32400

x² = 33025

x = √33,025

x = 181.7m

Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth

the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.

Answers

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]

[tex]y-3=\dfrac{3}{5}(x)[/tex]

Adding 3 on both sides, we get

[tex]y=\dfrac{3}{5}x+3[/tex]

Putting y=C and x=n, we get

[tex]C=\dfrac{3}{5}n+3[/tex]

Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].

Answer:

c=3/5n+3

Step-by-step explanation:

Solve asap: 3(2y+10)=54

Within 10 mins pls

8th grade

Answers

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

Answer:

y=4

Step-by-step explanation:

3(2y+10)=54

6y+30=54

-30       -30

6y=24

/6   /6

y=4

Melanie has a ribbon that is 18 inches long. She cut the ribbon into 3 equal pieces. Then she cut each of those pieces in half. How many small pieces of ribbon are there? how long is each pieces​

Answers

Answer:

I guess there are 6 small pieces but dont know how long they are sry

Answer:

12 small piece of ribbon, each 3/2 inches long

Step-by-step explanation:

one 18" long ribbon divided into 3 equal pieces will produce three 6 inch ribbons

three 6" ribbons, each one cut in half (or divided by 2), equals 12 pieces

each one  being 18/12 inches long; which reduces to 3/2

A statistical procedure that estimated regression equation coefficients that produce the lowest sum of squared differences between the actual and predicted values of the dependent variable is called .

Answers

Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

what is the distance of KF. round to the nearest tenths ​

Answers

Answer:

its 9.2

Step-by-step explanation:

Well i counted 7 units (x-axis) and 6 units (y axis). 6 squared is 36 and 7 squared is 49. Add them together and get 85. Square root 85 and youll get 9.21954445729. Round it to the nearest tenths and get 9.2

fill the blanks please

Answers

Answer:

1) 4

2) 2

3) 5

4) 8

Step-by-step explanation:

All you have to do in this question is to substitute what they are telling you.

First blank:

They told us that m is 0 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(0)+4s=16\\4s=16\\s=4[/tex]

In this one if m is 0, s will have to be 4.

Second blank:

They told us that s is 3 so if we plug in that into the equation we can get m.

[tex]2m+4s=16\\2m+4(3)=16\\2m+12=16\\2m=4\\m=2[/tex]

In this one if s is 3, m will have to be 2.

Third blank:

They told us that m is -2 so if we plug that into the equation we can get s.

[tex]2m+4s=16\\2(-2)+4s=16\\-4+4s=16\\4s=20\\s=5[/tex]

In this one if m is -2, s will be 5.

Fourth blank:

They told us that s is 0 so if we plug into the equation we can get m.

[tex]2m+4s=16\\2m+4(0)=16\\2m=16\\m=8[/tex]

In this one if s is 0, then m will be 8.

Simplify: x^2y-5 * x^y+8

Answers

Are you sure you wrote the right equation? Because this is the simplest form.

Hi guys im quite confused here because my teacher talked too fast, can someone help me find out how did 4 turned into 64. heres my problem in the attachment.

Answers

They distributed the power that is outside the parenthesis. As you can see the outside 3 is multiplied by each inside power which leads to your answer
Hiii...I am new in Brainly...plz thnx my this & 5-6 other ans plzzzz

So here in equation 4 has been cubed
As 4³ is (4×4×4) is 64

What are the coordinates of D’ when the quadrilateral is reflected across the line y = x?

On a coordinate plane, quadrilateral A B C D has points (1, 2), (2, 4), (4, 3), (3, 1).

(1, 3)

(2, 4)

(3, 4)

(1, 1)

Answers

Answer:

(1, 3)

Step-by-step explanation:

If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).

Answer:

its a its aaaa itsssssssssssssssssssssss aaaaaaaa sorry im just in a good mood

Step-by-step explanation:

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