f(x) = x ^ 2 . What is g(x) ?

F(x) = X ^ 2 . What Is G(x) ?

Answers

Answer 1

Given:

The function is:

[tex]f(x)=x^2[/tex]

The graphs of functions [tex]f(x)[/tex] and [tex]g(x)[/tex].

To find:

The function [tex]g(x)[/tex].

Solution:

We have,

[tex]f(x)=x^2[/tex]

The function [tex]f(x)[/tex] is vertically compresses to get the graph of the function [tex]g(x)[/tex]. So, the function [tex]g(x)[/tex] is:

[tex]g(x)=kf(x)[/tex]

[tex]g(x)=kx^2[/tex]               ...(i)

From the given graph it is clear that the graph of the function [tex]g(x)[/tex] passes through the point (3,3). So, putting [tex]x=3[/tex] and [tex]g(x)=3[/tex] in the above function, we get

[tex]3=k(3)^2[/tex]

[tex]3=9k[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.


Related Questions

96 sq meters
144 sq meters
84 sq meters
102 sq meters

Pls show work I get different answers from people every time

Answers

Answer:

84 sq meters

Step-by-step explanation:

First, divide the shape in 2 or more parts so that you can find it step by step

Divide this shape in three parts:

One part (blue): 2 m and 3 m rectangle

Second part (orange): 5 m and 12 m rectangle

Third part (red): 6 m and 3 m rectangle

(you can also see this below: in the pic there are three parts so you figure out that which is the correct value for the sides)

Now, find area of each shape by multiplying its values:

1st shape: 3 x 2 = 6

2nd shape: 5 x 12 = 60

3rd shape: 6 x 3 = 18

As you have the area of all the different shapes,

add all of them:

6 + 60 + 18 = 84 sq meters

I hope this helps :)

What is the slope of the line that contains the points (-2, 5) and (6, -3)?

Answers

Answer:

-1

Step-by-step explanation:

(-2 , 5) = (x1 , y1)

(6 , -3) = (x2 , y2)

slope of a line = y2 - y1/x2 - x1

=-3 - 5/6 - (-2)

=-8/6+2

=-8/8

=-1

therefore slope of a line is -1.

Question attached please answer brainliest to best answer

Answers

Answer:

B

Step-by-step explanation:

Have a nice day :)

buggy’s bugs buggles buuuugles

Answers

nice, have a good day <3

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct

Answers

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

[tex]\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right][/tex]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

PLEASE SOLVE!! Using

Answers

using sin∆ = 5/13

= 0.3846

therefore ∆ = 22.62

Find the coordinates of the points that are 20 units away from the origin and have a y-coordinate equal to −12.

Answers

9514 1404 393

Answer:

  (-16, -12), (16, -12)

Step-by-step explanation:

The given values (side length and hypotenuse) have the ratio ...

  12 : 20 = 3 : 5

This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...

  (-16, -12) and (16, -12)


Please help.
A: 4/7
B: 3/7
C:5/7
D: 2/7

Answers

Answer:

D: 2/7

Step-by-step explanation:

The probability of an event x is how likely the event will occur. It is given as;

P(x) = number of expected outcomes / number of possible outcomes

Given:

Event A = The place is a city.

Therefore,

P(A) is the probability that the event A happens. i.e the probability that a place is a city.

P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city

Also,

The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e

P(A) + P([tex]A^c[/tex]) = 1

From the table,

P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e

P([tex]A^c[/tex]) = 2 ÷ 7

P([tex]A^c[/tex]) = 2/7

Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7

below is a table showing the investment and the investment period of ​

Answers

Answer:

hey. pls complete your question.

what is 1+544 please somone tell me or i wikl fail mah test qwq

Answers

Answer:555

Step-by-step explanation:

Answer:

545

Step-by-step explanation:

you are just adding one

544+1=

draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.​​

Answers

Task:

Draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers. You will be graded according to the rubrics provided. An example is provided as your guide.

Answer:

Zipper

Using grammatical signals in developing patterns of idea can be like a zipper; because it zips our ideas or combined some informations that we have into one which helps readers understand our message better.

What is Gramatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. Short story is one of written medium where we can find these signals.

Why Gramatical signals important?

Gramatical signals is important because they signal relationship between sentence by means of back reference through the using of pronominal forms, determiners, repetition of key words, ellipsis, parallelism, synonyms and superordination. In short, they signal the relationship between new sentences and the one before it and they are also the important writing devices in text construction.

_________

#LetsStudy

Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.

What are Grammatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.

Important's of Grammatical signals

Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.

In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.

Learn more about Grammatical signals;

https://brainly.com/question/10528558

How to solve a problem.

Answers

a) [tex]\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C[/tex]

b) [tex]\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B[/tex]

A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)

Answers

i don’t know how to explain it, but the answer is 2
the answer to this question is 2

The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.

Answers

Answer:

3/4 and -3/4

or

0.75 and -0.75

but there is no solution for

10 times the smaller number added to 6 times the larger number to get 3 as result.

the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).

therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).

it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.

Step-by-step explanation:

x + y = 0

10×x + 6×y = 3

=>

x = -y

10×(-y) + 6×y = 3

-10y + 6y = 3

-4y = 3

y = -3/4

=>

x = -y = -(-3/4) = 3/4

control :

10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3

12/4 = 3

3 = 3

correct

x^(2)+y^(2)+14x+18y+114=0


i will give u brainliest and my eternal love

Answers

Answer:

(x+7)^2+(y+9)^2=16

Step-by-step explanation:

This is the equation written in standard form, I'm not sure if that's what you wanted.

If people send links report them

HELP ME PLEASE!!!!!
The 2 questions is down below with the picture; please let me know.

Answers

Given:

1. 60 is the sum of 15 and Mabel's age.

2. Given equation is

[tex]-8(x+1)=-40[/tex]

To find:

1. The equation for the given situation.

2. Complete the two column proof.

Solution:

1.

60 is the sum of 15 and Mabel's age.

Let m be the Mabel's age. Then,

[tex]15+m=60[/tex]

Therefore, the required equation for the given situation is [tex]15+m=60[/tex].

2.

The complete two column proof is:

        Steps                                            Reasons

[tex]-8(x+1)=-40[/tex]                                   Given equation

[tex]\dfrac{-8(x+1)}{-8}=\dfrac{-40}{-8}[/tex]                                  Division Property of Equality

[tex]x+1=5[/tex]                                               Simplifying

[tex]x+1-1=5-1[/tex]                                   Subtraction Property of Equality

[tex]x=4[/tex]                                                     Simplifying

Lisa's shop sells 5 quarts of ice cream each day. How much is this in pints?

Answers

Answer:

10

Step-by-step explanation:

We know there are 5 quarts.

There are 2 pints for each quart.

This can be though of as a ratio of:

2 : 1

There are 5 quarts, which is 5 times bigger than the ratio of 1.

So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:

2*5 : 1*5

=

10 : 5

So for every 5 quarts there are 10 pints.

Hope this helps!

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?

Answers

Answer:

3/10

Step-by-step explanation:

1/10 + 1/5 =          need to get common denominators to add.

1/10 + 2/10 = 3/10

A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?

Answers

Answer:

120

Step-by-step explanation:

First find the markup

80 * 50%

80*.5

40

Add this to the original cost

80+40

120

The price will now be 120

help plssssssssssssssssssssssssssssss

Answers

Answer:

285 mi

Step-by-step explanation:

We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.

30*9.5 = 285

it’s indeed 285 mi
30*9.5= 285

Can someone help pleaseee

Answers

Answer:

Ŷ = 76.4064+5.4254X

0.786

Strong positive relationship

Score = 98

Step-by-step explanation:

Using technology, the linear model obtained by fitting the data is :

Ŷ = 76.4064+5.4254X

Where, slope = 5.4254

y = test score ; x = study time

The Correlation Coefficient obtained is 0.786 ; which depicts that there exist a strong positive relationship between the two variables.

Using the model; test score, if x = 4

Ŷ = 76.4064+5.4254(4)

Y = 98.108

Test score = 98

The distance from place A to place B is 100 yards. What is this distance in terms of feet?


A. 100 ft.
B. 200 ft.
C. 250 ft.
D. 300 ft.

Answers

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

The answer is d because 3yrds=1ft so 3x100=300

5/6+3/9 in the simplest form


HELP PLSS

Answers

Answer:

1 1/6

Step-by-step explanation:

5/6 + 3/9

Simplify 3/9 by dividing the top and bottom by 3

5/6 + 1/3

Get a common denominator of 6

5/6 + 1/3 *2/2

5/6 + 2/6

7/6

Rewriting

6/6 +1/6

1 1/6

5/6 + 1/3 i think
5/6 can’t be simplified but 3/9 can so it’s 1/3 but if you have to add them, use 6 as the common denominator as 3 is a factor then do 1x3 = 3 so it’s simplified to 5/6 + 2/6 = 7/6

plz find the area of the red shape :)

Answers

66.7 cm^2

The width is 20/18 times longer
The height will also be 20/18 times bigger
The area will be 20/18 x 20/18 times bigger

how many terms are in the following expression 9c+2d-8

Answers

The correct answer is 3 terms

9c, 2d, and 8 are all single terms because they can’t be combined with anything else in the expression

Hope this helps ;)

Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?

Answers

Angle DCE cause they are vertical angles

Rewrite the quadratic equation in the form y= a(x - h)2 + k.


y = 5x2 – 30.3 + 95


Y= ?


Answers

Y= 74.7

Lmk if this was right or not.

3 Alex is the manager of a hospital canteen.
He reviews the meals the patients choose.
On Monday there were 240 patients in total.
1/3 of these patients chose pasta.
3/8 of these patients chose beef stew. The other patients chose chicken.

How many patients chose chicken on Monday?​

Answers

70

Steps
1/3 +3/8= 17/24
24-17/24=7/24
7/24(240) ( 24 cancels 24,given you 1and 7 is multiplied by the 10 the answer is 70)

The number of patients chose chicken on Monday is 90.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, there were 240 patients in total.

1/3 of these patients chose pasta.

Number of patients chose pasta

= 1/3 ×240

= 60

3/8 of these patients chose beef stew.

Number of patients chose beef stew

= 3/8 ×240

= 90

Number of patients chose chicken

= 240-(60+90)

= 240-150

= 90

Therefore, the number of patients chose chicken on Monday is 90.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labor and $20 an hour for his assistant's labor. The plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $2000. How long did the plumber and his assistant work on this job

Answers

Answer:

The plumber worked 50 hours, and his assistant worked 25 hours.

Step-by-step explanation:

Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:

40 x 30 + 20 x 20 = 1200 + 400 = 1600

50 x 30 + 25 x 20 = 1500 + 500 = 2000

Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.

Find the distance between the points (6,5) and (4,-2). use of the graph is optional

Answer ? Anyone

Answers

Answer:

√53

Step-by-step explanation:

Distance between two points =  

√(4−6)^2+(−2−5)^2

√(−2)^2+(−7)^2  

= √4+49

=√53

= 7.2801

Hope this helps uwu

9514 1404 393

Answer:

  option 2: √53

Step-by-step explanation:

The distance formula is useful for this:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4-6)² +(-2-5)²) = √((-2)² +(-7)²) = √(4+49)

  d = √53

The distance between the given points is √53.

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