Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
g(x)=f(x) + 12
IDEE
Select the correct choice below, and fill in the answer box to complete your choice.
O A. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
OB. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
OC. The graph of g(x) is translated unit(s) down compared to graph of f(x).
OD. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O E. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
O F. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O G. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O H. The graph of g(x) is translated unit(s) up compared to graph of f(x).

Answers

Answer 1

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

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Related Questions

help me please i need an equation and solution

Answers

Answer:

3x - 2 = 4

x = 2

Step-by-step explanation:

3x - 2 = 4 ---> plus 2 on both sides

3x = 6 --> divide by 3 on both sides

x = 2

The linear distance around the border of a 2-dimensional shape is:

Question 12 options:

A) perimeter
B) area
C) volume
D) surface area

Answers

Answer:

A) Perimeter

Step-by-step explanation:

Answer:

A perimeter is the answer

what is the value of x in the equation -2/9x = 2/5?

a. -1 4/5
b. -5/9
c. 5/9
d. 1 4/5​

Answers

Is the letter B, I hope I help you.

PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answers

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Can someone please give me the answers to this? ... please ...

Answers

Answer: don’t know what your requesting but a lot of these are wrong

Step-by-step explanation:

Please help!

Geometry.

Proving alternate exterior angles
congruent


answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6


B:

-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5

Answers

Answer:

The answer to A is: "Angle 2 is congruent to angle 3"

The answer to B is: "Angle 3 is congruent to angle 7"

A.
22 cm
6.5 cm
5 cm

-
Find volume

Answers

Answer:

357.5cm³

Step-by-step explanation:

To find the volume of the prism, find the area of the triangle and multiply it by the height

Area of the triangle

a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²

Volume of prism

55 × 6.5 = 357.5cm³

Answer: 357.5cm³

Hope this helps!

help???? i will be so greatfull

Answers

i 150
ii 200
iii 350
i 50
ii 200
iii 250

You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed? Round to the nearest whole number.

Answers

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

(Volume of box x 5/8) / volume of gumballs = Amount of gumballs  Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)  Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches  ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X (343.1 x 5/8) / 0.523 = X 214.4375 / 0.523 = X 410 = X

Therefore, 410 gumballs will be needed to fill the box.

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given the graphs of f and g below, find the following. give the exact if defined.

Answers

Answer:

looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.

Step-by-step explanation:

a) 2

b) 1

Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de

Answers

Answer:

Step-by-step explanation:

Find the zeros of f (x) = 8x^2 - 1.
The zeros are x = ___and x___​

Answers

Answer:

x=[tex]\sqrt{2}[/tex]/4 and x=-[tex]\sqrt{2}[/tex]/4

Step-by-step explanation:

One method of solving is using the Quadratic Formula: -b ±[tex]\sqrt{b^{2}-4ac }[/tex]/2a, with a=8, b=0, and c=-1.

After plugging these values in you get -0±[tex]\sqrt{0^2-(4*8*-1)}[/tex]/2*8

After simplifying you get ±[tex]\sqrt{32}[/tex]/16

Because 32 is 2^5, you can simplify it to 4[tex]\sqrt{2}[/tex], which makes the equation ±4[tex]\sqrt{2}[/tex]/16, or ±[tex]\sqrt{2}[/tex]/4.

The width of a rectangle measures (26 – 8c) centimeters, and its length measures
(106 + 6c) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?

Answers

Answer:

first one is correct

Step-by-step explanation:

length of a rectangle = 2b - 8c

breadth of a rectangle = 10b + 6c

now , formula to calculate the perimeter of rectangle is

p = 2 (l + w)

no substitute the value of l(length) and w(width)

p = 2{(2b - 8c) + (10b + 6c)}

p = 2(2b - 8c + 10b + 6c)

p = 2(12b - 2c)

p = 24b - 4c

Plz help ,me thx you

Answers

Answer:

i think it is a or c

Step-by-step explanation:

Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE

Answers

Answer:

9

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

9

[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]

Answers

Answer:

x=13

Step-by-step explanation:

Switch sides:

2x−9=17

Add 9 to both sides:

2x−9+9=17+9

Simplify

2x=26

Divide both sides by 2:

2x/2 =26/2

Simplify to get the result.

x=13

Answer:

x=13

Step-by-step explanation:

[tex]\sf 2x-9=17[/tex]

[tex]\sf 2x-9+9=17+9[/tex]

[tex]\sf 2x=26[/tex]

[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]

[tex]\sf x=13[/tex]

i need someone help please​

Answers

Answer:

Step-by-step explanation:

a) vertex = (3, 18).

b) This tells us that the doorway is 8 units high.

c) Y intercept is at (0, 0).

d) x intercepts are (0, 0) and (6, 0).

e) The base is horizontal.

A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is

Answers

Answer:

15%

Step-by-step explanation:

4590 = 5400 - D% × 5400

4590 = 5400 - D/100 * 5400

4590 = 5400 - 54D

54D = 5400 - 4590

D = 810 / 54

D = 15%

Dont forget to give me the brainliest.

9 pls pls pls help meeee!

Answers

Answer:

not possible

........................................

HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.

1. Find the distance from A to B. Explain how you found this distance.


2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.

3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

Answers

Answer:

are there any pictures?

Step-by-step explanation:

Which expression is illustrated on the number line 4-2 -2+4 -2+6 4+(6)

Answers

The number line shown below is used to illustrate the expression 4 + (-6)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. Number lines can be used to show mathematical operations of addition and subtraction

The number line shown below is used to illustrate the expression 4 + (-6)

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Which statement best describes the explanatory and response variables in the regression model? O In the quadratic regression model, the explanatory variable is time and the response variable is the height. O In the quadratic regression model, the explanatory variable is the height and the response variable is time. O In the trigonometric regression model, the explanatory variable is time and the response variable is the height. O In the trigonometric regression model, the explanatory variable is the height and the response variable is time.​

Answers

A.  In the quadratic regression model, the explanatory variable is time and the response variable is the height.

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

What is the regression model?

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A.

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Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.



Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.



Explain what the solution means in the context of the word problem.

Answers

The question is an illustration of inequalities and mathematical operations

The amount between $2 and $10 is $8

The amount between $10 and $20 is $10

$100 is greater than $50

(a) Amount between $2 and $10.

The amount is calculated as:

Hence, the amount between $2 and $10 is $8

(b) Amount between $10 and $20.

The amount is calculated as:

Hence, the amount between $10 and $20 is $10

(c) Amount greater than $50.

An amount greater than $50 is an amount that have an higher value.

Take for instance: $100

$100 is greater than $50, because it has a higher value.

There is no enough information to solve the other questions

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f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given triangles are congruent by :

ASA criterion

because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?

The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

Answers

Answer:

ME TOO

Step-by-step explanation:

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

[tex]\mathbf{f(x) = x}[/tex]

[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]

Substitute x for f(x) in g(x)

[tex]\mathbf{g(x) = -5x + 2}[/tex]

The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.

Hence, the correct option is (d)

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The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².

Answers

Answer:

ac = 18.5

Step-by-step explanation:

perimeter of a rectangle =  [tex]2(l+b)[/tex]

= 138m^2= 2(2x + 6 ) + 52

= 4x + 12 + 52 = 138  

= 4x + 64 = 138

= 4x = 138 - 64

= 4x = 74

= x =  74/4

= x = 18.5

Help Please!!!!!!!!

Answers

I’m not sure but I think the answer would be 40

Answer:

40

Step-by-step explanation:

both angles are corresponding angles which means both are equal

i.e

4x-50 = 2x+30

4x-2x = 50+30

2x = 80

x = 80/2

therefore x = 40

keep smiling

7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.

Answers

Answer:

The population would probably be 40%

Step-by-step explanation:

10 x 2 = 20

20 x 2 = 40

So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!

1.
67°
mZ1
|

Find each angle measure

Answers

Answer:

acute angle

Step-by-step explanation:

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