Which statement is correct about the transformation of a function f(x)?
a.By moving f(x) k units down, you obtain the function f(x)+k.
b.By moving f(x) k units to the right, you obtain the function f(x−k).
c.By shrinking f(x) k units horizontally, you obtain the function 1kf(x).
d.By stretching f(x) k units vertically, you obtain the function f(kx).

Answers

Answer 1

Answer:

B

Step-by-step explanation:

f(x)k= Example: f(2)= (2x-5)= f(2)= (2x2-5)= f(2)= (4-5)

Answer 2

Answer:

b.By moving f(x) k units to the right, you obtain the function f(x−k).

Step-by-step explanation:

:)


Related Questions

baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Tickets prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y the number of tickets for the upper deck, that someone can buy for no more than $800?

A.) 42x + 56y < 800
B.) 42x + 56y > 800
C.) 42x + 31.5y > 800
D.) 42x + 31.5y < 800​

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is D

A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue

Answers

1:1.67. You divide both sides by 1.8 to reduce the smaller measurement to 1.

1.8/1.8 : 3/1.8 = 1:1.67 and there you go.

what is the answer. can someone help me .​

Answers

Answer:

your photo is not visible for me

Answer:

54

Step-by-step explanation:

11x=26=180

x=14

8x+p+14=180

p=54

What is 2/5 ÷ 3 and 1/10​

Answers

Answer:

0.13 and 0.1 hope it will help you..

Jim is saving money to buy a game. So far he saved $36, which is three-fourths of the total cost of the game. How much does the game cost?

Answers

Answer:

$48

Step-by-step explanation:

Because he has 3/4 you would divide 36 by 3 whick is 12 then multiply by 4 to get the total of $48

Answer:

$48 :)

Step-by-step explanation:

Which is the fraction 14/5 written as a mixed number

Answers

2 and 4/5

Or

Two and four fifths

It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did it take Sheldon to walk than to take the bus?

Answers

Answer:

it will take her  [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon [tex]17 \frac{5}{6}[/tex]  minutes to walk to Raj's house

It also took Sheldon [tex]4\frac{5}{8}[/tex] minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

[tex]17\frac{5}{6} - 4\frac{5}{8}=317/24[/tex]

We can convert this to Mixed fractions as shown [tex]13\frac{5}{24}[/tex] minutes.

Therefore, it will take her  [tex]13\frac{5}{24}[/tex] minutes more to walk down to Raj's House

19. The numerator of a fraction is 1 less than the denominator.
When both numerator and denominator are increased by 2,
the fraction is increased by 1/12Find the original fraction.

Answers

Let the original fraction be

[tex]\dfrac{n-1}{n}[/tex]

Now let's increase both numerator and denominator by 2:

[tex]\dfrac{n+1}{n+2}[/tex]

This produces a 1/12 increase:

[tex]\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}[/tex]

The left hand side can be rearranged as

[tex]\dfrac{2}{n^2+2n}=\dfrac{1}{12}[/tex]

Invert both sides:

[tex]\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24[/tex]

Solve the quadratic equation:

[tex]n^2+2n-24=0 \iff n=-6 \lor n=4[/tex]

So, in the first case, the original fraction is

[tex]\dfrac{n-1}{n}=\dfrac{-6-1}{-6}=\dfrac{7}{6}[/tex]

In the second case, we have

[tex]\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}[/tex]

As a cold front moved into a city, the temperature decreased by 32°F at a rate of
2°F per minute. For how long was the temperature decreasing?
A 64 minutes
B 30 minutes
C 32 minutes
D 16 minutes

Answers

Answer:

D. 16

Step-by-step explanation:

32/2 = 16

The answer is D 16 mins

whats the answeer giving brainliest

Answers

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20 points, write a system of equations.

Answers

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

[tex]x+y=30[/tex]       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

[tex]4x-y=20[/tex]        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations [tex]x+y=30[/tex] and [tex]4x-y=20[/tex].

What is 16 divided by 5

Answers

Answer:

3.2

Step-by-step explanation:

At a day care center a researcher asks children to list their five favorite toys from most favorite to least favorite. What level of measurement is represented in this example

Answers

Answer:

Ordinal

Step-by-step explanation:

The ordinal measurement level means the arrangement of the number so that it could tell the position of something in the list

Since in the question it is mentioned that the day care center ask the children for listing their five favorite toys and the arrangement could be done from most favorite to least favorite

So this represent the ordinal measurement level

Find the slope of the line that passes through (10, 10) and (3, 1).

Answers

Answer:

-7/-9 pretty sure

Step-by-step explanation:

x2-x1

y2-y1

3-10= -7

1-10= -9

The Bailey’s spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?

Answers

Answer:

10

Step-by-step explanation:

So I belive the answer consists of- 18 divided by 4 equals 4.5 and 45 divided by 4.5 is 10 so ten should be your answer.

please help me with this

Answers

Answer:

B

Step-by-step explanation:

Find the value of x in the parallelogram.

Answers

Answer:

Since it's a parallelogram, the length of AD and BC are the same.

Hence, [tex]x + 21 = 12x - 1[/tex].

[tex]x + 21 = 12x - 1[/tex]

[tex]12x - x = 21 + 1[/tex]

[tex]11x = 22[/tex]

[tex]x = 2[/tex]

Therefore, x = 2.

Step-by-step explanation:

Hope this helped!

Write the number in scientific notation

307,000,000

Answers

Answer:

3.07×10^8

Step-by-step explanation:

:)

hope this helps

Answer: 307,000,000 in scientific notation is 3.07 × 10^8.

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

Answers

Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

Who's ur favorite song artist?

Answers

Probably Metallica or Pink Floyd
I like drake, he drops greaaatt music every year, you?

8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)

Answers

Answer:

8. Number of student tickets = 460

Number of teacher tickets = 100

9. Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Step-by-step explanation:

8.

Let number of students' tickets = [tex]x[/tex]

Let number of teachers' tickets = [tex]y[/tex]

Total number of tickets = 480

[tex]x+y=480[/tex] ...... (1)

Price for one student's ticket = $1

Price for one teacher's ticket = $5

Total money collected by the tickets = $560

[tex]x +5y = 560[/tex] ...... (2)

Subtracting (1) from (2):

[tex]4y = 80\\\Rightarrow y = 20[/tex]

By equation (1):

[tex]x = 460[/tex]

Number of student tickets = 460

Number of teacher tickets = 100

9.

Let the speed of airplane in still air = [tex]u[/tex] km/hr

Let the speed of air = [tex]v[/tex] km/hr

Total distance = 5432 km

Time taken with the wind = 7 hours.

Speed with the wind = [tex]u+v[/tex] km/h

Time taken against the wind = 8 hours.

Speed with the wind = [tex]u-v[/tex] km/h

Using the formula:

Distance = Speed [tex]\times[/tex] Time

[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]

[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]

Adding (1) and (2):

[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]

By equation (1):

[tex]v = 48.5\ km/hr[/tex]

Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Please help I will give brainliest!!!

Answers

Answer:

I think it is C.

Step-by-step explanation:

PLEASE HELP ASAP!!!
3 + 2x² + 3x + 2x² + 5 = ?

Answers

Answer: 4x² + 3x + 8

Work: I combined Like Terms, put them in the right form, from the x² to the number.

I hope this helps and Happy Holidays! :)

Answer:

25

Step-by-step explanation:

3+2=5×2 ×2 +5=25

add the 10 to the other 10 and then add 5

Show work and I will give you brainliest

Answers

Answer: There is not enough info and I can't see  because the picture is not clear enough. Sorry. :(

Merry (early) Christmas tho! :)

GIVING BRAINLIEST FOR CORRECT ANSWER!!!!

Answers

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

Henry's potato vine is growing like crazy! When he planted it, it was 2 inches long. Two weeks later it was 5 inches long. At 6 weeks, it was 11 inches long.

Answers

Answer:

[tex]y = \frac{3}{2}x +2[/tex]

Step-by-step explanation:

Required:

Write an equation to represent this  situation

Let x represents the number of weeks and y represents the growth.

When he planted it:

[tex](x_1,y_1) = (0,2)[/tex]

Two weeks later:

[tex](x_2,y_2) = (2,5)[/tex]

At 6 weeks:

[tex](x_3,y_3) = (6,11)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-2}{2-0}[/tex]

[tex]m = \frac{3}{2}[/tex]

Then calculate the equation using:

[tex]y - y_3 = m(x - x_3)[/tex]

[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]

[tex]y - 11 = \frac{3}{2}x - 9[/tex]

Solve for y

[tex]y = \frac{3}{2}x - 9+11[/tex]

[tex]y = \frac{3}{2}x +2[/tex]

Brenda and Melissa each have a band. Brenda's band plays songs in sets of 4 and Melissa's band plays songs in sets of 6. After performing together, both bands realize that they have played the same number of songs. What is the smallest number of songs each band could have performed?

Answers

Answer:

12 songs

Step-by-step explanation:

Brenda's band plays songs in sets of 4

Melissa's band plays songs in sets of 6.

After performing together, both bands realize that they have played the same number of songs.

What is the smallest number of songs each band could have performed?

The smallest number of songs each band could have performed can be calculated by finding the lowest common multiple of 4 and 6

4 = 8, 12, 16, 20, 24, 28, 32, 36, 40

6 = 12, 18, 24, 30, 36, 42

The lowest common multiple of 4 and 6 is 12

The smallest number of songs each band could have performed is 12 dongs

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet. What is the width of the sidewalk?

Answers

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

A rectangular pool has a sidewalk around it. Width of the sidewalk is 1 feet.

Given

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet.

Let 'w' be the width of sidewalk

The pool measures 6 feet by 10 feet . The width of the rectangular pool with side walk is 6+x+x=6+2x

The length  of the rectangular pool with side walk is 10+2x

The total area of the pool and side walk is length times width

Total area= [tex](6+2x)(10+2x)\\[/tex]

[tex]96=(6+2x)(10+2x)\\96=60+32x+4x^2\\60+32x+4x^2-96=96-96\\4x^2+32x-36=0[/tex]

apply quadratic formula to solve for x

[tex]x=\frac{-32\pm \sqrt{32^2-4\cdot \:4\left(-36\right)}}{2\cdot \:4}\\x=\frac{-32\pm \:40}{2\cdot \:4}\\x= \frac{-32+40}{2\cdot \:4}=1\\x=\frac{-32-40}{2\cdot \:4}=-9[/tex]

Width of the sidewalk cannot be negative

so the width of the sidewalk is 1 feet

Learn more :  brainly.com/question/21860114

Plz, Help me with this question.

Answers

It’s F=10
6(3) - 2(4) = 18 - 8= 10

Answer:

F. 10

Step-by-step explanation:

6d - 2c

6 * 3 - 2 * 4

18 - 8

10

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