Suppose that g(x) = f(x-4). Which statement best compares the grap
g(x) with the graph of f(x)?

Answers

Answer 1

The transformation of a function may involve any change. The graph of g(x) is the graph of f(x) shifted 4 units to the right.

How does the transformation of a function happen?

The transformation of a function may involve any change.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)

Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

As per the transformation of the function, if the function g(x) = f(x-4), then the graph of g(x) will be 4 units in the right of f(x).

Hence, the graph of g(x) is the graph of f(x) shifted 4 units to the right.

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Related Questions

Martin had 100 trees in his orchard the first year. Each year after that, he
increased the number of trees in his orchard by 10%, rounded to the nearest
whole number. How many trees did he have in his orchard in the sixth year?

Answers

Rate of increase=10%=0.1Time=t=6

So trees after 1 year

100+10=110

Trees after 2 years

110+0.1(110)=121

Trees after 3 years

121+0.1(121)133(Whole no)

Trees after 4years

133+0.1(133)146

Trees after 5 years

146+0.1(146)161

Trees after 6 years

161+0.1(161)177trees

Answer:

177

Step-by-step explanation:

This scenario can be modeled as an exponential function.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the number of trees increase by 10% each year, then the number of trees each year will be 110% of the number of trees the previous year.  Therefore, the growth factor is 110%.

Given:

a = 100 treesb = 110% = 1.10 (in decimal form)x = time (in years)y = number of trees in the orchard

Substituting the given values into the function:

[tex]\implies y=100(1.10)^x[/tex]

(where x is time in years and y is the number of trees in the orchard)

To find how many trees are in the orchard in the 6th year, input x = 6 into the found equation:

[tex]\implies 100(1.10)^6=177.1561=177\: \sf (nearest\:whole\:number)[/tex]

Therefore, Martin had 177 trees in his orchard in the sixth year.

Solve- x/x+1 - 1/2 = -1/x+1

Answers

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .


Which statement verifies that quadrilateral WXYZ is a parallelogram?

The difference of the slope of adjacent sides is .
The slopes of adjacent sides are opposite reciprocals.
The opposite sides have the same slope.
XY and YZ have the same slope.

Answers

The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.

What is a Parallelogram?

This refers to a four-sided figure that is used in geometry and has parallel opposite sides.

Hence:

Remember that the opposite sides of a parallelogram are parallel.

We would solve:

Slope WX = 0

Slope XY= 5/2

Slope XZ= 0

Slope ZW= 5/2

The next step would be:

Slope WX= Slope YZ

Slope XY = Slope ZW

Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram

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What is the mean absolute deviation of 1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,5,6

Answers

Answer:

8


Step-by-step explanation:

step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8

2 + 2 + 2 + 2 + 2 = 10

3 + 0 = 3

4 + 4 = 8

5 + 0 = 5

6 + 0 = 6

Step 2.

8 + 10 = 18

18 + 3 = 21

21 + 8 = 29

29 + 5 = 34

34 + 6 = 40

40/6 = 8

This is because if you added 6 + 6 eight times, you would get 40.

Is renters insurance a fixed or variable expense?​

Answers

[tex]\huge\purple{Hi!}[/tex]

renters insurance is a Fixed expenses

Please Help I Don't Understand!

Answers

Answer:

a reduction

Step-by-step explanation:

this is because its growing smaller

Answer:
Reduction

Explanation:
The heart reduced its size (went smaller).

answer?..............

Answers

Step-by-step explanation:

please mark me as brainlest

Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46

Answers

The value of the expression if x is equivalent to 12 is - 26

Functions and values

Given the expression

f(x) = 5/6(1/2x+6)-3x

If the value of x is 12, then;

f(12) = 5/6(1/2(12)+6)-3(12)

f(12) = 5/6(6+6) - 36

Simplify

f(12) = 5/6(12) - 36

f(12) = 10 - 36

f(12) = -26

Hence the value of the expression if x is equivalent to 12 is - 26

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Find the value of the angle θ rounded to 1 DP.

Answers

Answer:

35

Step-by-step explanation:

no kizzy bruvvvvvvvvv

What is the slope of the line containing (-3, 1) and (1, -2)?
O A
OB.
O C.
O D.
314
413
-
314
43

Answers

(-3,1)(1,-2)

Slope:-

m=y2-y1/x2-x1m=-2-1/1+3m=-3/4

The slope of the given function is -3/4.

What is a slope?

Slope is a value that describes the steepness and direction of a line.

Given are the points that lie on line, we need to find the slope of the line,

So,

m = y₂ - y₁ / x₂ - x₁

The ordered pairs are :-

(-3, 1) and (1, -2)

So, the slope (m) = -2-1 / 1+3 = -3/4

Hence, the slope of the given function is -3/4.

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In how many ways can the letters of the word COMPUTER be arranged in a row if the letters C and O can not stand next to each other

Answers

Answer:

35280ways

Step-by-step explanation:

let X be the number of ways the letters can be arranged with no restriction,

let M be the number of ways they can be arranged if the letters C and O must stand together,

and let the number of ways the letters C and O can be arranged if they can not stand together.

X=8!

M= 7!

N=X–M=8!–7!=35280 ways

Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]

Answers

Step-by-step explanation:

the right answer is 1.714

what is the answer for 0.32+12.965+1.1 and could you explain how you got the answer​

Answers

answer: 14.385

Add the numbers as if they were whole numbers.Place the decimal point in the sum  so that it lines up vertically with the numbers being added.

hope this helps:)

Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√

Answers

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

to determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.

Answers

The correlation coefficient between the student's height and the distance they were able to jump is 0.86.

What is the correlation coefficient?

The correlation coefficient is a number that ranges from -1 to 1. It shows the strength of the relationship between two variables. It also shows the direction of the relationship.

Positive correlation is when the two variables move in the same direction. If one variable increases, the other variable also increases. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. Zero correlation is when there is no relationship between the variables.

The correlation coefficient is calculated using a financial calculator.

Here is the complete question:

A group of students want to determine if a person's height is linearly related to the distance they are able to jump.

To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.

Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.

Enter the correlation coefficient. Round your answer to the nearest hundredth.

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Answer:

It's 0.92

Step-by-step explanation:

I took the test already

help help help help help help help

Answers

Answer:

V = 56,448 cm³

Step-by-step explanation:

the volume (V) is calculated as

V =Ah ( A is the area of the base and h the height )

here A = 2,352 and h = 24 , then

V = 2,352 × 24 = 56,448 cm³

(72 divided by 8-x2x3+1

Answers

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

which two ratios represents quantities that are proportional? A. 15/10 and 10/15 B. 20/25 and 16/20 C. 5/6 and 17/12 D. 15/21 and 20/24

Answers

Answer: B
20/25 = 4/5
16/20 = 8/10 = 4/5

1. Marc and Julian are considering the following investments for their portfolio. Help
them evaluate each one by weighing the risk versus return. Rank each as low,
moderate, or high in each category. (12 points)

Answers

The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings account - Low.IRA - Moderate. Stock in new high tech company - High. Mutual Fund - Moderate. Five year CD (2% interest) - Low.High-yield five-year bond - High.

How risky are these investments?

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

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Identify the type of function represented by
f(x) = 4.2x
OA. Decreasing linear
OB. Exponential growth
OC. Exponential decay
OD. Increasing linear

Answers

The function is an increasing linear function

How to determine the function type?

The function is given as:

f(x) = 4.2x

The above function is a linear function, because linear functions are represented as:

f(x) = mx + b

Where m represents the slope.

A positive slope represents an increasing linear function.

By comparison;

m = 4.2

4.2 is positive

Hence, the function is an increasing linear function

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Question 3

the three straight paths, ab, bc, and ac meet each other at three points, a, b, and how do these points of intersection differ from each

other? explain the differences in terms of the angles that you see. also look at the length of the side opposite each angle. what pattern do you see

regarding the measurements? in what situation would all the points of intersection resemble one another modify the triangle in geogebra to

help you with your answers

b

ux

x

font sizes

aaeeen

characters used: 0 / 15000

submit

airfax county public schools

Answers

To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

What is a triangle?

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

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In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?

Answers

Similar triangles are triangles that has all sides and angles to be equal. The value of x if , ΔGEF and ΔHEF are congruent is 28

Similar triangles

Similar triangles are triangles that has all sides and angles to be equal. From the given diagram;

<GFE = <EFH

Given

<GFE = 60 degrees

<EFH = 2(x+2)

Substitute

2(x+2) = 60
2x + 4 = 60

2x = 60 - 4

2x = 56

x = 28

Hence the value of x if , ΔGEF and ΔHEF are congruent is 28

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Which of the following is the product of the rational expressions shown
below?
x+2/X-4 * 3X/X+4

Answers

Answer: x = 0; x=10

Step-by-step explanation:

[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]

Hope this helps!

PLEASE HELP!! NEED THIS TO PASS!

Answers

Answer:

efmkkx. viihfa bgdgmys zsjnstjjded

Step-by-step explanation:

njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf

A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be blue?

Answers

Step-by-step explanation:

7red marbles,3 blue marbles,4 green marbles

(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answers

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

Please help y’all I’ll do anything!!

Answers

Answer:

555

Step-by-step explanation:

If each side of a square is 15 miles, we can find the total distance travelled by finding how many sides of squares were travelled.

You could either count the boxes, or, as I'm going to do, you could calculate the length of each straight line.

I switch between the y axis and the x axis, because we are travelling in different directions (if moving up/down we pay attention to y-axis, if moving right/left we pay attention to x-axis)

From 'Home' to the 'Restaurant', we are travelling from 6 to -7 on the grid. So, if we want to know the distance between them, we need to figure out how far apart they are. This is similar to figuring how far apart any two numbers are--we find the difference. (6) - (-7) [6 + 7] = 13. So, the amount of squares travelled from home to the restaurant is 13.

[I pay attention to the values along the x-axis for these two points because we are considering the distance along the x-axis]

[y-axis because it is vertical travel]

Restaurant (at -5) to campground (at 2) has a distance of : 7

[x-axis because it is horizontal travel]

Campground (at -7) to Rest Area (at -3) has a distance of : 4

[y-axis travel]

Rest Area (at 2) to the endpoint of that line segment (at 8) has a distance of: 6

[x-axis travel]

Endpoint of line segment (at -3) to endpoint below destination (at 3)  has a distance of : 6

[y-axis travel]

Endpoint below destination (at 8) to destination (at 9) has a distance of : 1

We can then add all of the distance travelled:

13 + 7 + 4 + 6 + 6 + 1

= 37

37 sides of boxes were travelled, so we can multiply:

37 x 15

= 555

because each box length is 15 miles.

So, the family travelled 555 miles

How can I solve this:

Simplify

Answers

Answer:

see the attachment photo!

Answer:

the answer is 7! hope this helps

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPP!!!

Answers

a) 1+7n
b) 12+4n
Where in both cases n starts from 0

4 dolares
2. Un carro consume 6.8 litros de gasolina por cada 102 kilómetros
viajados. ¿Qué distancia puede viajar el auto con 24 litros de
gasoling?
Porfa urge

Doy corona

Answers

The car can travel 360 km with 24 liters of gasoline.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

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Explain the Empire of Lydia, how it rose, how it came to prominence, and how it fell. Use 1-2 paragraphs for your answer. What is one purpose of the prologue in Sugar Changed the World?a) to illustrate that living in the Caribbean was not profitable, but affected the history of sugarb) to persuade readers that, before the 20th century, most peoples fortunes depended on sugarc) to emphasize how sugar plantations depended on involuntary servitude, and how they shaped the world economyd) to inform readers of the authors family histories and how their connection to sugar spurred their interest and research Which of the following statements best supports American interest in isolationism? A. As Europe was at peace after World War I, Europeans did not want to interact with the rest of the world. B. America was interested in decreasing its interests in both Latin America and Europe. C. As Americans became more economically prosperous and independent, they did not want to continually police the world. D. Americans encouraged communism and felt that isolationism would help this idea grow. Dayshawn can choose two of his four t-shirts to take on a weekend trip.If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?S = {ABCD}S = {ABCD, DCBA}S = {AB, AC, AD, BC, BD, CD}S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC} Tempest graphs a function that has a maximum located at (-4, 2). Which could be her graph? how many delegates made up the legislative branch of creek government? a: one delegate per townb: one delegate per band c: one delegate per 10,000 people d: one delegate per tribe. Which of these statements best describes the conflict for Rama in this passage? A. Rama is frightened by the battle and runs to the woods What are the coordinates of the turning point of the parabola whose equation isy = x - 4x + 48(1) (2.0) (2) (-2, 16)(3) (2,-4)(4) (-2,0)What is the equation for the axis of symmetry for: y = -x - 2x-1(1) x= 1 (2) X=-1(3) y = 1(4) y = -1If the roots of a quadratic equation are -2 and 3, the equation can be written as:1) (x-2)(x+3) = 03) (x + 2)(x + 3) = 02) (x + 2)(x-3) = 04) (x-2)(x-3) = 0The equation of the axis of symmetry of the graph of y=2x2-3x+7 is3333(1) X(2) y=-(3) X=-(4) y=-422Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?(1) Vertex (1. 6); axis of symmetry: y=1(2) Vertex (1, 6); axis of symmetry: x = 1(3) Vertex (6, 1); axis of symmetry: y = 1(4) Vertex (6, 1); axis of symmetry: x = 1 The Dictionary of Occupational Titles lists approximately ---------- specific occupations.500 100,00020,0006,000 What conditions account for the boom-and-bust cycles experienced by washingtons economy in the latter half of the 20th century? provide specific example to explaingee ok thanks people Using graphing, what is the approximate solution of this equation? 3x2-6x-4 = -2/x+3 + 1 A. x = .64B. x = .33C. x = .18D. x = 2.60 find the differential coefficient of 3x power 2 Help asap I DONT KNOW THIS QUESTION!!! Fran and Roberto overdo it sometimes. Everything hurts! Listen to them and select the most likely reason for their pain in each case. Please Help I Don't Undertand. Question 17Consider the equation y = 15 - 4x.Which of the following is a graph of this equation? Please I need help ASAP Why is the author of The School Days of an Indian Girl so nervous about starting school?She has never seen a classroom.She has to walk to a nearby village.She has parents who are not literate.She has to leave her family. As a result of the treaty of Guadalupe hidalgo the united states:A. Outlawed slavery throughout its western territoriesB. Officially took control of Texas from MexicoC. Gained the right to control territory south of Rio GrandeD. Gained access to a small piece of territory to build railroads Which organ isprimarilyresponsible foringesting food?A. mouthB. heartC. anusD. pancreas