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:


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Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

20 feet long 6 feet width

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

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Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?

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Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

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Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

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Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000

Answers

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.

Answers

The dimension of the rectangle is 8m by 6.5m respectively

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4

Answers

Answer:

-2

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.

Answers

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

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Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
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B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100

Answers

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

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Answer:

Step-by-step explanation:

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Answers

Answer:

105

Step-by-step explanation:

if both together cost $110

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and it's 105

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

she is expected to hit 18 out of the 30 pitches

Step-by-step explanation:

In this question, we are required to use experimental probability to make a prediction.

From the hits she has today, we can estimate the number of hits she might be getting tomorrow.

Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5

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B.
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Answers

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Which is the best estimate for the liquid volume of a small carton of milk?

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Answer:

Step-by-step explanation:

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

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Answer:

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Step-by-step explanation:

Answer:

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All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

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Answers

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

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The length of an arc is expressed as:

L = r theta

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r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

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An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

V = (pi)r^2h

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Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

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Answers

Answer:

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Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
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Answers

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

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7h=-(2h-18)7h=−(2h−18) Solve for h

Answers

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

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C (0,0)
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Answers

Answer:

(0,0)

Step-by-step explanation:

y= -3x

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y = -3(0)

y = 0

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Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?

Answers

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

 

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

What are the steps of finding the Circumference of a circle

Answers

radius squared times pie

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as large

Hope this helps! :)

Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?



Answers

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

Find the quotient.

3 divided by 3636

A. 1,212
B. 1,202
C. 122
D. 112
E. 102

help asap!!

Answers

The answer to the question is B

Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?

0.2

0.1

0.8

0.9

Answers

Answer:

0.8

Step-by-step explanation:

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

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