Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:

A) ƒ(x) = (6x + 1)2

B) ƒ(x) = (1∕6x + 1)2

C) ƒ(x) = 6(x + 1)2

D) ƒ(x) = 1∕6 (x + 1)2

Answers

Answer 1

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer 2

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:


Related Questions

Work out the circumference of the circle with radius 2.5 cm

Answers

Circumference = 2πr

~plug 2.5 centimeters in for r

C = (2)(π)(2.5 cm).

C = 5π cm

Please answer me
bis two fifths of c.
4a = 30
Work out the ratio a:b:c
Give your answer in its simplest form where a, b and c are integers.​

Answers

Answer:

a:c:b=3:4:8/5

Step-by-step explanation:

i hope this is correct

Which histogram represents a set of data that is left-skewed? A graph shows the horizontal axis numbered 56 to 126. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 56 to 77 then a downward trend from 77 to 119. A graph shows the horizontal axis numbered 60 to 114. The vertical axis is numbered 1 to 4. The graph shows a downward trend from 60 to 72, an upward trend from 72 to 84, then a downward trend from 84 to 108. A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701. A graph shows the horizontal axis numbered 252 to 1,260. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 630, a downward trend from 630 to 756, an upward trend from 756 to 882, then a downward trend from 882 to 1,341.

Answers

Left skewed histograms are shown by the left tail , smaller values, being longer then the right tail, larger values.

The answer is: A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701

Answer:

A

Step-by-step explanation:

EDGE 2021

Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall and 3 inches wide. How many tiles will she need for her project?

Answers

Answer: 864 tiles

Step-by-step explanation:

Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.

Note that 1 feet = 12 inches

Each tile measures 3 inches on each side.

Length: 9 feet = 9 × 12 = 108 inches

Therefore, 108/3 = 36 tiles will fit along the length.

Width: 6 feet = 6 × 12 = 72 inches. Therefore, 72/3 = 24 tiles will fit along the width.

So, (36 × 24) = 864 tiles will be needed.

Answer:

864 tiles

Step-by-step explanation:

In a _____ triangle,
the sum of the squares of the lengths of the legs is equal to the square of the length of
the _____

Answers

Step-by-step explanation: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse or a² + b² = c². This is called the Pythagorean Theorem.

Answer:

right, hypotenuse

Step-by-step explanation:

This is because of the pytagorean theorem

a² + b² = c²

If f(5) = 2(5) - 7, which function gives f(x)?

Answers

Answer:

f(x) = 2x-7 is the function

Answer:

f(x) = 2x-7 is the function

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)

Answers

Answer:

(8.6)

Step-by-step explanation:

To find the x coordinate of the midpoint, find the average of the x coordinates

(x1+x2)/2  = (6+10)/2 = 16/2 = 8

To find the y coordinate of the midpoint, find the average of the y coordinates

(y1+y2)/2  = (8+4)/2 = 12/2 = 6

Answer:

(8,6)

Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>

The graph of y = |x| is shifted up by 4 units and to the right by 5 units.
What is the equation of the new graph?

Answers

Answer:

Step-by-step explanation:

The equation of the new graph is y =|x - 5| + 4|

The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4

This equation can be understood by considering the function of absolute value:

y=|x| is a function that returns the absolute value of x.

and

y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.

In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

find out three rational numbers lying between 2/3 and 3/4


PLEASE HELP........ NEED TO SUBMIT THIS NOW....

Answers

7 divided by10, 11 divided by 16, 13 divided by 19

Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)

Answers

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7

Answers

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0

A.( 8m^7 * n^6)/3
B.(10m^7 * n^6)/3
C.(8m^16 * n^12)/3
D.(m^4 * n^6)/3

Answers

Answer: A.

Step-by-step explanation:

Help I do not understand

Answers

To find the solution of the system of equations, you need to find the coordinates of where the two graphs intersect. In this case they intersect at two points which are (-1,0) and (4,-5).

Find the area of the shape shown below.
12
4

Answers

The answer to this question is 32

Answer:

32

Step-by-step explanation:


What is the volume of a rectangular prism with a length of 12 feet, a width of 7 feet, and a height of 8 feet?

Answers

Answer:

672

Step-by-step explanation:

V=LWH

V=12*7*8

V=672

Answer:

672 ft cubed

Step-by-step explanation:

L x W x H = Area of a Rectangular Prism

12 x 7 x 8 = 672 ft cubed

The fine schedule for overdue books at the county library is modeled by values in the table

Answers

Answer:

What is the table? what are the values? If you can't insert a picture please type the like f(x)= y

Step-by-step explanation:

Answer:

I beleive the answer is choice B...

Step-by-step explanation:

In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x)

HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!

Answers

Answer:

First, you work out the 3 and Tail from the table: T3: 62

Then you add up all values from the table:

S = 43 + 49 + 54 + 65 + 71 +62 = 344

Then the probability of next toss and spin is 3 and Tail is:

P = T3/S = 62/344 = 0.18

Helppppppppppppppppppppppp

Answers

Answer:

JK

Step-by-step explanation:

Answer:it might be the last on if right please mark as brainliest

Step-by-step explanation:

A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars

Answers

The value of the car will be $10000 after 2.5 years

The cost price of the car = $24000

Rate of depreciation, r = 15%

r  =  15/100

r  =  0.15

The final value of the car after depreciation, A = $10000

To get the time for depreciation, use the formula below and solve for t

[tex]A=P(1-r)^t[/tex]

Substitute P = 24000, A = 10000, and r = 0.15 into the equation above

[tex]10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5[/tex]

The value of the car will be $10000 after 2.5 years

Learn more here: https://brainly.com/question/16678480

Which formula(s) can be used to find the nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series?

Answers

Answer:

First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

y - 4x = 5
8x - 2y = 16
Solve using system of equations

Answers

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

3. Russell is filling a cylinder-shaped swimming pool that
has a diameter of 20 feet. He fills it with water to a
depth of 3 feet. What is the volume of the water in the
pool, to the nearest cubic foot?
377 cubic feet
942 cubic feet
2,958 cubic feet
3,768 cubic feet
377
942
2958
3768
O

Answers

Answer:

942 cubic feet

Step-by-step explanation:

Answer:

942.4777961 or 942

Step-by-step explanation:

First find the area of the circle using \pi r^{2} . Radius is half of diameter so the radius is 10.

\pi 10^{2} = 314.1592654

Then multiply the depth to the area of the circle.

314.1592654 x 3 = 942.4777961

quadratic function. *
yo
3x +2
u

Answers

 there is your answer  yo3x + 2u

1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR

Answers

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

A triangle has side lengths of 13, 9, and 5. Is this a right triangle?

Answers

Answer:

no

Step-by-step explanation:

a^2+b^2 = c^2

There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.

If the first gear is rotating clockwise, what direction is the fifth gear turning?

Answers

Answer:

fifth gear is also rotating clockwise

what is the fraction, 64/388 simplified?

Answers

Answer:

the answer is 16/97

Can you please help me with this question please please help me

Answers

It’s the third one. Hope that helped!

Answer:

i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]

Describe two methods that can be used to find the area of the composite figure.

Answers

Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Area of the composite figure can be find by using additive areas method and subtractive areas method

What is Composite figure?

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

What is Area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

Learn more about Composite figure and Area here

https://brainly.com/question/16193772

#SPJ2

Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?

Answers

Answer:

29.64

Step-by-step explanation:

First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.

Answer:

22.80/100%   ?/30%

Step-by-step explanation:

100/10=10*3= 30 %

22.8/10=2.28*3=6.84

22.80-6.84=15.96

$ 15.96 But with out the discount it cost and adding 30 % to the price it will be $29.64.

I kinda did something wrong that i didn't notice.

Other Questions
whoever answers correctly first will get brainiestwhats my middle name....?clues:a_n_l i_ e3 missing lettersfill in the blanks! hehe PLEASE HELP IM OFFERING ALOT OF POINTS AND BRAINLIEST AND RANK !!!!Which statement accurately describes a reason for the start of the Crusades?The city of Jerusalem had fallen under the control of Jewish extremists.Muslim leaders asked westerners to help them protect their centers of learning from attack by barbarians.The Byzantine emperor asked for help from the pope to defend his realm from the Seljuk Turks.Saladin led a Muslim army in an invasion of Italy and sacked Rome. the rational number of 2 x -7/4 The most important natural resource in the Middle East is __________. A. coal B. gold C. iron D. oil PLEASE ANSWER NOW!This is to correct and/or revise a piece of writing. Find the volume of a rectangular prism with base length = 8ft , base width =5 ft, and height =2ft 1. 10(.15)=1.52. 10-1.5=8.53. 8.5 (.15)=1.2754. 8.5-1.275=7.225Keep going until you get number 5 and below 1 !!!!!!!!!!!!!!!!!!!!!!!!PLEASE MAN! What is the climate of Vietnam How much greater is 42 inches than1 yard? Explain. Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enoughpacks of sausages and rolls so that there are an equal number of sausages and rolls. What isthe minimum number of sausages and rolls he needs to buy? A pesar de los "golpes" que recibi la nobleza tras la crisis del siglo XIV, los reyes no supieron aprovechar la situacin y Su poder se debilito durante los siglos XVI y XVII. find the length of the unknown side round your answer to the nearest 10th Toward the end of the story, starting on page 5,Faxon encounters a man in furs. What functiondoes Faxon's interaction with this characterserve?It provides setting details that suggest that Faxon isin danger from the cold.It provides character details that indicate Mrs.Culme may be an unpleasant person.It provides suspense by implying that the youth maynot be what he seems.It provides exposition by explaining that Mrs. Culmewill send a sleigh soon. Cameron did some initial research for a research project on why giant pandas are endangered and noted the following information:Giant pandas are native to China.Giant pandas eat mostly bamboo.Reproductive rate = one cub in two yearsNatural habitat has shrunk to a small area in central China.Estimates of how many are alive in the wild range from 1,600 to 8,000.Which of the following is the best question Cameron can use to locate additional avenues of exploration into the topic of why giant pandas are endangered?A.How many pandas are there in zoos?B.What factors are reducing giant pandas natural habitat?C.Why isnt there an accurate census of how many pandas live in the wild?D.Which researchers are working on finding out more about threats to the great panda? as a human population grows, what happens to our natural- resources requirement Teenagers should get more sleep to performbetter in school and to be healthier _(200 word essay) If a radius is 20, what is the diameter? (Remember d=2r) A rectangular table has an area of 5/6 of a square meter. The length of a table is 2/3 of a meter. What is the width of the table in meters? What was the name of the party that Benito Mussolini founded that would be a role model for other would-be leaders of Europe? a. the Socialists c. the Democrats b. the Communists d. the Fascists What court case in Texas that segregation of Mexican American children in Texas schools was illegal?