the graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5 to create the graph of g(x). what is the function of g(x)?


a. g(x) = |x+5|
b. g(x) = |1/5 x|
c. g(x) = |5x|
d. g(x) = 5 |x|

Answers

Answer 1

Answer: I’m thinking the answer is B

Step-by-step explanation:

Answer 2

Transformations are used to move a function from one position to another. The function of g(x) is [tex]g(x) = |\frac x5|[/tex]

Given that:

[tex]f(x) = |x|[/tex]

The rule of a horizontal stretch by factor k is:

[tex](x,y) \to (\frac xk,y)[/tex]

This means that:

[tex]g(x) = f(\frac xk)[/tex]

In this case, [tex]k = 5[/tex]

So, we have:

[tex]g(x) = f(\frac x5)[/tex]

Calculate [tex]f(\frac x5)[/tex]

[tex]f(\frac x5) = |\frac x5|[/tex]

Hence, the function of g(x) is

[tex]g(x) = |\frac x5|[/tex]

Read more about function transformation at:

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Related Questions

Can someone please help me here! Tell me the answer I’ll give a brainliest to the one who is right!

Answers

Answer:

False

Step-by-step explanation:

The equation is equal to -24 = -19. That's not true

Answer:

False. The equality is false because the left-hand and right-hand sides are different

i did the equation as the x in between 3 and (-8) as x, not times


Which one of the following equations is equivalent to 3x-12 = -9?
A 3 - 5 = -6
B 70 - 3=4
2x = 4
D 2+3 = 2 - 1

Answers

the answer choices don't make sense but I can help u with solving the equation it's x = 1

3x-12=-9 , minus 12 on both sides3x = 3 , divide 3 on both sides x = 1

now that u know this go through your answer choices and solve their equation and see which one produces x = 1 and that'll be the answer!!

Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours per week, and it has $3000 outlay weekly on operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $4 on line B. (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.

Answers

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

What is inequality?

Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

Hence the inequality for the number of items, x, produced by the labor, is 250 ≤ x ≤ 600 and the inequality for the cost, C is $1,000 ≤ C ≤ $3,000

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What is the range of the relation
(3,3)
(0,2)
(0,-3)
(-1,-2)
(2,-3)
(2,-4)

Answers

Domain: {-3, 2, 0}
Range: {2, -4, 6, -5 -3}
Range-{2,-4, 6,-5,-3}

Indira makes a graph to show how many pages of her graphic novel she can
illustrate each day.

a. What is the constant of proportionality for the relationship between
pages and days?

b. Write an equation to show the relationship between pages and days.

Answers

Answer:

a). k = 0.75

b). y = 0.75x

Step-by-step explanation:

a). Graph is showing the relation between number of pages (P) illustrated by Indira and number of days taken (D).

   P ∝ D

   P = kD

   Where 'k' is the proportionality constant.

   k = [tex]\frac{P}{D}[/tex]

  From the graph attached,

  For a point with ordered pair (2, 1.5),

  k = [tex]\frac{1.5}{2}[/tex]

  k = 0.75

b). Equation representing the relation between number of pages and number of days will be,

  P = 0.75D

  y = 0.75x

Nathan and jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclists crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?

Answers

Answer: A) Nathan’s because his sample was more random

Step-by-step explanation: sampling methods quiz on edge

Nathan's sample is likely to be the most valid. Nathan's because his sample contained elements of the population.

What is a Survey?

In order to gather information on a service, product, or process, a survey is described as an act of looking at a process or asking a predetermined sample of people. Surveys used to gather data ask a specific set of individuals about their beliefs, actions, or knowledge.

Given, To find out how much time cyclists are in a race train on average each week, Nathan and Jordan develop questionnaires. Every fifth cyclist who crosses the finish line after a race is surveyed by Nathan. Jordan takes a survey of the top five cyclists who cross the finish line.

Since Nathan's sample contained elements of the population.

and it is more random.

The sample used by Nathan is probably the most reliable. Nathan's because the population was represented in his sample.

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WILL GIVE YOU BRAINLIST
find the slop

-4 1

-1 - 4

2 -9

5 -14

8 -19

Answers

Answer:

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates  of 2 points on a line by the difference of the x-coordinates  of those same 2 points .Teachers use different words for the y-coordinates  and the the x-coordinates . Some call the y-coordinates  the rise  and the x-coordinates  the run . Others prefer to use Δ notation and call the y-coordinates Δ  , and the x-coordinates the Δ  .These words all mean the same thing, which is that the y values are on the top of the formula (numerator) and the x values are on the bottom of the formula (denominator)!The slope of a line going through the point (1, 2) and the point (4, 3) is 13. Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula.Can either point be (1,1) ? There is only one way to know! First, we will use point (1, 2)  as 1,1, and as you can see  : the slope is: 13 . Now let's use point (4, 3)  as 1,1, and as you can see  , the slope simplifies to the same value: 13point (4, 3) as (1,1) =2−12−1=3−24−1=13 point (1, 2) as (1,1) =2−12−1=2−31−4=−1−3=13 Answer: It does not matter which point you put first. You can start with (4, 3) or with (1, 2) and, either way, you end with the exact same number! 1/3

Example 2 of the Slope of A line The slope of a line through the points (3, 4) and (5, 1) is −32 because every time that the line goes down by 3(the change in y or the rise) the line moves to the right (the run) by 2.This is because any vertical line has a Δ or "run" of zero. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. The picture below shows a vertical line (x = 1). vertical line The slope of a horizontal line is zero This is because any horizontal line has a Δ or "rise" of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Below is a picture of a horizontal line -- you can see that it does not have any 'rise' to it.

(please help I will give brainlist) Twenty students tried out for the basketball team. Sever were selected. What is the ratio of students selected to those trying out?

Answers

Answer:

7:20

Step-by-step explanation:

35% of the students made the team

Answer:

7:20

Step-by-step explanation:

hope this helps :)

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 11th percentile of the data is 15 hours. Step 4 of 5 : What is the value of the 50th percentile?

Answers

Answer:

26.2 hours

Step-by-step explanation:

From the given information:

The objective is to determine the value of the 50th percentile.

The median is the 50th percentile, which categorically divides the data into two equal parts. It is a number separating the higher half of a data sample from the lower half. This implies that the median stands in place for the 50th percentile of the data.

Thus, the 50th percentile value is 26.2 hours

75
To go on a fairground ride, you must be at least 5 feet tall. Express this as an inequality.
A. A) h<5
B. B) hs5
C. C) h>5
D. D) h25
Select an answer

Answers

C because you would have to be at least 5feet or higher than five feet to get on the ride.

How many solutions does the following equation have ?
-42 – 7 + 10x = -7 + 6x
Pls help and explain

Answers

the way you find the answer to this is by doing what’s below

-42 - 7 + 10x = -7 + 6x
-49 + 10x = -7 + 6x combine like terms
10x = 42 + 6x add 49 to both sides
4x = 42 subtract 6x from both sides
x = 10.5 divide both sides by 4

hope this helps!!

The equation -42 - 7 + 10x = -7 + 6x has one solution x = 10.5.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

-42 - 7 + 10x = -7 + 6x

Combine like terms in the equation,

-49 + 10x = -7 + 6x

Add 49 to both sides,

10x = 42 + 6x

Subtract 6x from both sides,

4x = 42

Divided both sides by 4 into the equation, and we get

x = 10.5

Thus, the equation has one solution x = 10.5.

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what is -4x+6y=21 on the graph

Answers

Answer:

Step-by-step explanation:

what is 25,000,000 x 25,0000 = what

Answers

Answer: 6.25^12

Step-by-step explanation:

Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture of side length X in inches. She has a function p(x) equals 3X that gives the price in dollars for the frame. What is the single function that Jenny can use to give a customer a price for a picture with an edge length of X

Answers

Given:

The function for size of a square frame is

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

where, x is the side length of the picture.

The function for the price in dollars for the frame is

[tex]p(x)=3x[/tex]

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

[tex](p\circ f)(x)=p(f(x))[/tex]

[tex](p\circ f)(x)=p(x+2)[/tex]       [tex][\because f(x)=x+2][/tex]

[tex](p\circ f)(x)=3(x+2)[/tex]           [tex][\because p(x)=3x][/tex]

Let the name of this function is c(x). So,

[tex]c(x)=3(x+2)[/tex]

Therefore, the required function is [tex]c(x)=3(x+2)[/tex].

For the dilation with center​ (0,0) shown on the​ graph, your friend says the scale factor is 5/2 . What is the correct scale​ factor? What mistake did your friend likely​ make?

Correct answer i know is 2/5, what did the friend do though? here are the choices
A.
Your friend found the ratio between​ non-corresponding sides.
B.
Your friend found the ratio between two sides of the image triangle.
C.
Your friend found the scale factor that enlarges to triangle abc to triangle a'b'c'
D.
Your friend found the ratio between two sides of the original triangle.

Answers

Answer:

i think its b

Step-by-step explanation: if its wrong im sorry its been a while sense i did this

Which is equivalent to the following expression?
4(9m + 3) + 9 - 2(3m)
a. 16m + 9
b. 30m + 21
c. 30m + 9
d. 42m +21

Answers

30m +21

4(9m + 3) + 9 - 2(3m), distribute the numbers into the parenthesis 36m+12+9-6m, combine like terms 30m + 21

Answer:

[tex] \huge{ \bold{ \boxed{ \text{30m + 21}}}}[/tex]

Step-by-step explanation:

[tex] \text{4(9m + 3) + 9 - 2(3m) }[/tex]

[tex] \text{Step \: 1} : \text{Distribute \: 4 \: through \: the \: parentheses}[/tex]

➵ [tex] \text{36m + 12 + 9 - 2(3m)}[/tex]

[tex] \text{Step \: 2} : \text{Multiply \: 2 \: by \: 3m}[/tex]

➵ [tex] \text{36m + 12 + 9 - 6m}[/tex]

[tex] \text{Step \: 3 : \: Combine \: like \: terms}[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

➵ [tex] \text{36m - 6m + 12 + 9}[/tex]

➵ [tex] \text{30m \: + 12 + 9}[/tex]

[tex] \text{Step \: 4 : Add \: the \: numbers}[/tex]

➵ [tex] \text{30m \: + \: 21}[/tex]

[tex] \sf{Hope \: I \: helped}[/tex]!

[tex] \sf{Best \: regards}[/tex] !

~TheAnimeGirl

Find the equation of the line shown.

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

First we need the slope which is finding from the following equation.

slope = y(B) - y (A) / x (B) - x(A)

Suppose ;

A = ( 0 , 0 ) & B = ( 10 , 5 )

Thus :

slope = 5 - 0 / 10 - 0

slope = 5 / 10

slope = 1 / 2

__________________________

We have following equation to find the point-slope form of the linear functions.

y - y(0) = s × ( x - x(0) )

__________________________

y(0) & x(0) are the coordinates of the point which line through it like A = ( 0 , 0 ) or B = ( 10 , 5 ).

s = slope

__________________________

I choose point A to put in the equation.

So :

y - ( 0 ) = 1/2 × ( x - ( 0 ) )

y - 0 = 1/2 × x - 1/2 × 0

y = 1/2 × x

y = x/2

Done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer asap I really need too pass

Answers

Answer:

Yes, the bill is reasonable because 11+8+3+5+5=32, which is very close to 31.44.

Multiply. Express your answer in simplest form.
5/6 x 15

Answers

Answer: 12 1/2

Step-by-step explanation:

What is the solution set for -4x + 10 2 5x + 55?
O A. x 25
o
B. X 245
O C. XS-5
O D. XS -45

Answers

Answer = A I’m pretty sure

HELPPPPP but only number one

Answers

Answer:

-2

Step-by-step explanation:

f(-7)=-7^2-51

f(-7)=49-51

f(-7)=-2

A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line? O-4
O-1
O 1
O 4​

Answers

Answer:

04

Step-by-step explanation:

0 -4 zero is just zero so 4 replace

Answer:

4

Step-by-step explanation:

Enter the value of x! Thank you!

Answers

Answer:

x = 3

Step-by-step explanation:

given:

f(x) = g(x)

f(x) = x³ - 3x² + 2

g(x) = x² - 6x + 11

find: the value of x

solution:

as given f(x) = g(x) equate each side x³ - 3x² + 2 =  x² - 6x + 11 combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0 solve by factoring: (x - 3) (x² - x + 3) use the Zero factor principle: x - 3 = 0 x = 3 for x² - x + 3 = 0 ----this is a complex solution.

therefore, the value of x = 3

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

−10

1

=

v

1

−30

1

v

1

=

−10

1

+

30

1

v

1

=

30

−3+1

v

1

=

30

−2

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]

what is -0.5 repeating(5 in the tens place is repeating) as a fraction?

Answers

Answer:

-1/2

Step-by-step explanation:

I think it’s but I’m not sure -1/10

i will give u brainliest

Answers

Answer:

11.6404467268 ——> 11.64

Step-by-step explanation:

Since ur only in hs, there are no steps for this. Simply press the square root button on ur calculator and voila! Thx for the brainliest :)

There are 5 monkeys and 1 tiger which one is smarter?

Answers

Answer:M O N K E

Step-by-step explanation:because monke smort

Answer: Monkeys!

Step-by-step explanation: Monkeys are sometimes smarter than humans! There is also 5 of them

what is 5.6 rounded to the nearest tenth

Answers

6? Cuz you have to round up due to it being 5.6

Answer:

it would be 5.60

Step-by-step explanation:

5.60 is the answer

If a cube has a side length of 5 inches, what would be the volume of that
cube?
2 points
*

Answers

Answer:

125 inches^3

Step-by-step explanation:

To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.

125 inches^3 is the volume

Help me please, this is due in like 20 mins

Answers

Answer:

[tex]-\frac{8}{27}[/tex]

Step-by-step explanation:

Use 9 for the denominators since 3 goes into 9

[tex]-\frac{3}{9} *\frac{8}{9}[/tex]

You can simplify 3 and 9 across

[tex]-\frac{1}{9} *\frac{8}{3}=-\frac{8}{27}[/tex]

I missed my zoom lesson today and I don't understand the material we covered. I'm not sure how to answer this question. Thank you in advance for your help ​

Answers

Answer:

True

Step-by-step explanation:

Skew lines are two lines that do not intersect and are not parallel.

AB and CG are neither intersecting nor parallel. So, they are skew lines.

Hope it helps:)

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Please write in complete sentences.1. What types of geological events or changes occur at divergent plate boundaries?2. What types of geological events or changes occur at convergent plate boundaries?3. What types of geological events or changes occur at transform plate boundaries?4. Explain how these geological processes and interactions have changed Earth's surface through the years. Be sure to use evidence to support your answer.Grammar and spelling I can fix what is the first word paragraph of the most important reason for having a baby???? 5 uses of oral and written Language Explain the effects of the empresario system on the development of Texas. Discuss three contributing factors that led to gender based violence Why is technology important when developing scientific theories?Why is oceanic crust younger than continental crust? There was a 6 square foot piece of wrapping paper for a birthday present Mention the term.Reducing will help you reallocate funds to raise your child. 11. D(-2, 3), E(5, 5), F(-4, 10)Find the measures of the sides of DEF,then classify it by its sides Jefferson high school has 100 less than 5 times As many Students as Taft high school how many students are at Jefferson high school if Taft high school has 300 students Which statement accurately describes the motion of the objects in the ticker tape above? Both objects are speeding up at a constant rate. One object speeds up before it slows to a stop. Both objects speed up before stopping. One object speeds up at a constant rate until it stops. Firms face competing pressures in the marketplace-how to achieve lower costs through proven approaches to production, while looking at how to maximize their effectiveness in local markets. A firm's choice of strategy must reflect these pressures, and the firm knows that the dynamics of competition may require changes in strategy. Pressures for local responsiveness mean that a firm may not be able to realize the full benefits from economies of scale, learning effects, and location economies. Customization of products brings benefits, but it also limits the firm's ability to realize significant scale economies and location economies. Companies generally choose from four main strategic postures: a global standardization strategy, a localization strategy, a transnational strategy, or an international strategy. The appropriateness of each strategy varies given the competitive realities and the firm's core competences.Read the case below and answer the questions that follow. Your firm has been a leader in several lines of fast-moving consumer goods. The firm has been following a localization strategy. Your products have been distributed in a number of foreign markets and regions, and they are distinct enough in local markets to respond to national tastes and preferences. Competition, however, has become more intense, with many competitors using lower cost structures to undercut your prices and still satisfy your customers. The firm must decide what kind of strategy it needs to follow to meet the demands of the local markets as well as the increased competitive pressures on cost. a. leverage skills and products associated with a firm's core competencies from one country to another. b. monitor and adapt to changing customer tastes in a large number of foreign markets. c. compete effectively in more than one international market. if AB || CD, then find value of angle COS, if angle BPO = 120 + - and angle COS = x A robot can complete 7 tasks in 2/3 hour.What is the unit rate for hours per task