vertically stretched by a factor of 2, then translated
4 units left and 1 unit down

Answers

Answer 1

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

How to write the given transformation?

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

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Related Questions

If you invest $1600 at 5.25% for 18 months, how much simple interest is earned?

A) $10,500
B) $1,260
C) $126
D) $1,512

Answers

Answer:

the correct answer is is b

solve pls brainliest

Answers

Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

Answer:

1/4th

Step-by-step explanation:

All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.

please mark as brianlest.

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)

Answers

Answer:

2835 flowers

Step-by-step explanation:

We need the circumference of the garden, with it's 150' radius.  Circumference, C,  is given by:  C = 2[tex]\pi[/tex]r.  I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.

C = 2*(3.15)*150'

C = 945'

4 inches = 1/3 foot.

Every 1/3 of a foot of the circumference will have a flower.  We can make this a conversion factor:   3 flowers/foot

Flowers = (945')*( 3 flowers/foot) = 2835 flowers

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

Answers

Answer:

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

Step-by-step explanation:

Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).

What is a cube?

It is a polygon having six faces.

The volume of a cube is a side cube.

We have,

The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.

Thus,

The line from the center to the mid-point of an outer side is a(n) is Apothem.

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The length of a rectangle is 4 cm less than twice its width. The perimeter of the
rectangle is 58 cm. What are the dimensions of the rectangle?

Answers

Step-by-step explanation:

Let width be x

according to question

length = 2x-4

perimeter = 58

now,

perimeter = 2(length + width)

58 = 2(x+2x-4)

58 = 6x-8

6x = 66

x = 11

putting value of x in length

2x-4

= 2 X 11 -5

= 18

hence the dimensions of the rectangle is 18 and 11

There was a bottle of milk at home. After the brother drank 1.94L of it, there were 0.56L left. How many litres of milk was there at the beginning?

Answers

Answer:

add the 1.94+0.56 to get 2.5 liter

Step-by-step explanation:

wow, he drank almost 2 liters of milk more or less in one turn ? he might spend quite some time in the bathroom ...

anyway, x = original amount of milk.

x - 1.94 = 0.56 now we add 1.94 to both sides

x = 2.5 L

A customer in Maine orders a Dog Treat Bundle for $34.80. The sales tax in Maine is 5.5%. How much sales tax is collected on the order?

Answers

Answer/Step-by-step explanation:

GIven;

A customer in Maine orders a Dog Treat Bundle for $34.80.

The sales tax in Maine is 5.5%.

To Find;

How much sales tax is collected on the order?

Solve;

$34.80 * 5.5% = 1.914

Round: 1.914 = 1.91 [Sales tax added]

$34.80 + 1.91 = 32.89 [Total]

Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)

~Learn with lenvy~

if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?

Answers

Answer:

x2+x-2

Step-by-step explanation:

i had this question before

Three adjacent angles form a right angle . The measure of the largest angle is 5 degrees less than 3 times the measure of the smallest angle The measure of the median angle is 5 degrees more than the measure of the smallest angle . What is the measure of the largest angle ?

Answers

Answer:

Step-by-step explanation:

Question Find the circumference of the pizza. Round your answer to the nearest tenth.

Answers

Circumference = 2pi*r = 2 pi * 6 = 37.7 in

Anwser for 4.5 times 3.6

Answers

Answer:

16.2

Step-by-step explanation:

calculator :0

The answer for 4.5 times 3.6 is 16.2

What number
comes next?
78.2; 78; 77.8; ...

Answers

Answer:

77.6

Step-by-step explanation:

Each number is subtracted by 0.2

Hope that helps!

A rectangular yard measures 12 feet by 10 feet. Find the cost of installing a fence around the yard if the fence costs
$3.10 per foot

Answers

Answer:

$372

Step-by-step explanation:

12 × 10 = 120

1 foot = $3.10

120 feet = ?

120 feet × $3.10

= $372

$372÷ 1 foot = $372

What is the speed of the car that travels 2955 km in 13 hours?

ROUND TO THE NEAREST WHOLE NUMBER

Answers

Hello There!!

Given,

Distance (d)= 2955 km

Time (t)= 13 hr

To Find,

Speed (s)=?

Solution

[tex]s = \frac{d}{t} \\ \\ s = \frac{2995}{13} \\ \\ s = 227.308 \: \: \text{km/hr}[/tex]

Rounding To Nearest Whole Number= 227 Km/hr

[tex] \therefore \text{speed} = 227 \text{km/hr}[/tex]

Hope This Helps

Answer:

As Per Provided Information

Distance travelled by the car is 2955 Km

and it takes 13 hours to cover that distance .

We have been asked to determine the speed of the car .

[tex] \boxed{\bf \: speed \: = \dfrac{Distance Travelled by Car}{Total Time Taken }}[/tex]

substituting the value we get

[tex] \longrightarrow\sf \: Speed = \dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed = \cancel\dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed =227.30 \\ \\ \\ \longrightarrow\sf \: Speed \approx227 \: km {hr}^{ - 1} [/tex]

Therefore,

Speed of the car is 227 Km/hr.

x + 3y = 3
x - 5y = -29
solve by elimination

Answers

Answer:

x=-9

y=4

Step-by-step explanation:

x + 3y = 3

x - 5y = -29

Multiply the second equation by -1

-x + 5y = 29

Add the two equations together to eliminate x

x + 3y = 3

-x + 5y = 29

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

0x +8y = 32

Divide each side by 8

8y/8 = 32/8

y = 4

Now solve for x

x+3y =3

x+3(4) = 3

x+12 = 3

Subtract 12 from each side

x+12-12 = 3-12

x = -9

HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?

Answers

this has been already answered.

https://brainly.com/question/15414578

HELP PLEASE!! 20 Points!! Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Answers

Answer:

my answer was wrong

Consider functions f and g

Answers

Answer:

A

Step-by-step explanation:

[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]

[tex] g(x) = \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]

[tex] f(x) + g(x) =  \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]

Answer: A

what is the answer to
-40 = -5p

Answers

Answer:

-200 =p

Step-by-step explanation:

-40 = -5p

5         5

_______

-200 = p

Destiny performs a hypothesis test on a population with µ = 115 and Sigma = 30. Her sample size is 25 with a mean of 120. 4. Which of the following correctly depicts the z-statistic for this data? 0. 04 0. 90 3. 53 3. 93.

Answers

The correct answer which refers to the z-statistic for this data is b)0.90.

What is a Hypothesis Test?

The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.

It is given that µ = 115 and Sigma = 30.

sample size is 25 with a mean of 120.4

The formular for z-statistic is

z = (x – u) / (σ / sqrt n)

Therefore, we input the values and we get

z = (120.4 – 115) / (30 / sqrt 25)

We calculate further and we get

z = 0.90

Therefore, the correct answer is option b.

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Gabby is working on reducing traffic in her town. Last week, she tracked how many cars
drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
1) What percent of the time did Main Street have 100 or more cars per hour?

Answers

The box plot represents the rate of cars in the Main Street per hour

25 percent of the time, the Main Street have 100 or more cars per hour

How to determine the proportion of the boxplot?

From the box plot, we have the following parameter:

The upper quartile of the boxplot is 100

This means that:

Q3 = 100

The upper quartile is the 75% dataset

The actual percentage is then calculated as:

Actual = 100% - 75%

This gives

Actual  = 25%

Hence, 25 percent of the time, the Main Street have 100 or more cars per hour

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can you pls help me i need it?

Answers

Answer:

$114.75

Step-by-step explanation:

You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.

13.50 * 4 = 54.00

So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.

13.50 * 4.5 = 60.75

Now, to find the total pay for that day, we add both the morning and the afternoon pay together.

54.00 + 60.75 = 114.75

Therefore, the pay for this day is $114.75.

Use the empirical rule to find a reasonable estimate for P(z ≤ 0. 82). 10% 30% 50% 80%.

Answers

P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

What is a z-score?

Z-score indicates how much a given value differs from the standard deviation.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = mean

[tex]\sigma[/tex]=standard deviation

P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.

From the standard normal table

P(z ≤ 0. 82) ≈80%.

Hence, P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

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What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 over 36 endfraction startfraction 157 over 12 endfraction

Answers

The length of the radius will be 22 units.

What is the radius?

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]

By solving the above equation we get

[tex]r=(\dfrac{18997}{864} )[/tex]

[tex]r=22[/tex]

Hence the length of the radius will be 22 units.

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Answer:

85/12

Step-by-step explanation:

please me please pls

Answers

the line passes through the point ( - 8 ; - 2)

so f(-8) = - 2

Create an algebraic expression that always results in 6 more than a multiple of 5 if the variable is an integer. no links

Answers

Hello!

[tex]===========================================[/tex]

Let's create an expression that always results in 6 more than a multiple of 5.

First, let the unknown number be x.

Then, we should multiply it times 5 and add 6 (6 more means we add 6)

So the expression is

5x+6

Will this work? We can easily check by plugging in some numbers:

5(2)+6

10+6

10 is a multiple of 5

16 ✓

Try another number:

5(3)+6

15+6

21 ✓

Try a negative number:

5(-3)+6

-15+6

-9 ✓

Try zero:

5(0)+6

0+6

6 ✓

[tex]============================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by

[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]

An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

The given statement is "6 more than a multiple of 5 if the variable is an integer".

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the unknown number be x.

A multiple of 5 is 5x

6 more than a multiple of 5 if the variable is an integer

= 5x+6

Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

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Electric guitar kits originally cost $d$ dollars online. You buy the kits on sale for $50\%$ of the original price, plus a shipping fee of $\$4.50$ per kit. After painting and assembly, you sell each guitar online for $\left(1.5d+4.5\right)$ dollars. Find your profit on each guitar sold.

Answers

let's keep in mind that Profit = Revenue - Costs.

so each guitar costs originally "d" dollars online.

you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50.  So the Cost to get one kit alone for you is 0.5d + 4.50.

After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.

[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]

Write a decimal that is greater than 3.3 and less than 3.73

Answers

Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7

Explain:

It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.

What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.

I hope that was helpful

what are the coordinates of point G

Answers

Calculate distance of G from x and y axis(1 box=1unit)

x axis=8y axis=5

So

the coordinate is

(x,y)=(5,8)

Answer:

(5,8)

Step-by-step explanation:

x=5

y=8

(x,y)= (5,8)

I NEED THE ANSWER |(-2+1)*3)|

Answers

Answer:

The answer is 3

Step-by-step explanation:

add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3

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I need help with this question please Which of the following is the best description of bacterial transformation?Group of answer choicesA. Introducing new genes into a bacteria cell that the bacteria cell then uses to make proteinsB. Changing a bacteria cell into a different type of cell, such as a virus or proteinC. Providing bacteria cells with optimum conditions to increase the reproduction of the cellD. Removing genes from a bacteria cells chromosome so that the bacteria cell no longer makes those proteins First of all, dogs are affectionate and fun companions. They will cuddle up to their owners to be petted. These loving animals are always ready for a hug or pat on the head. If they get the chance, some will even give their human friends a sloppy, wet kiss! Most dogs are playful, too. They love to chase sticks and fetch balls. According to the Humane Society, thirty nine percent of U.S. households own at least one dog. So it is no secret that dogs provide hours of enthusiastic entertainment and companionship.Secondly, many dogs are protective of their owners. In addition to cuddling and fetching, dog lovers appreciate the protective nature of many canines. Many dogs bark to alert owners when someone comes to their home. A dog owner often feels safer just knowing he has a loyal dog willing to protect its family or alert them of danger. If barking becomes a problem, most dogs can be trained to limit annoying yapping.Lastly, one of the best features of dogs is that they are great exercise partners. Dogs love to go on walks. Responsible pet owners understand that dogs need plenty of exercise. Daily walks can keep dogs happy and healthy. Of course, dog lovers benefit from this fitness plan, too. Having an energetic partner is great motivation to get off the couch and get moving.1) Which conclusion is BEST supported by the information in the text?A) Simply stated, dogs are ideal pets. They are loving, fun, protective, and energetic companions. A pet is a big responsibility, but worth it.B) Dogs are difficult to care for. They can be costly, loud, and unruly. The best option for a pet is a quiet cat or a small hamster.C) Dogs make people feel safe by barking at intruders. They can also help owners find their homes if they get lost on walks.D) If they get the chance, some will even give their human friends a sloppy, wet kiss! Most dogs are playful, too. Write balanced chemical equations for dissociation of the following weak acids and identify their conjugate bases: phosphoric acid (H3PO4), formic acid (HCO2H), and boric acid (H3BO3). pls help me in this math problem Why is it relevant that the Finch children sit with the Black community rather than the other white people? Joslynn makes $8.25 per hour babysitting. If she made $123.75 last week, then howmany hours did she work last week? lt (rain) hard when we (leave) home. The county courts established in 1634 were responsible for _________________. (choose all that apply) Name 2-3 types of retirement accounts and explain what they are. Rewrite in simplest radical formX^5/6 / X^1/6 what is 4 1/8 x 1/4 equal to? Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 837 new employees. If a new route is not granted, it will hire only 199 new employees. If the probability that a new route will be granted is 0.37, what is the expected number of new employees to be hired by the airline? Find the equation of a line that contains the points (2,1) and (8,7). Write the equation in slope-intercept form. Expand the following expressions by multiplying out the brackets -4(4f+3) Why is it a mistake to put e-mail addresses of people who don't know each other in the "to:" field? Im really stuck please help guys? Draw the structure of the major organic product(s) of the reaction. Grinard's The purpose of government in a direct democracy is to:A. promote a specific set of religious beliefs.B. give all political power to one family.O C. make sure every person makes enough money.D. represent its people's beliefs and interests.