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.

Learn more here:

https://brainly.com/question/15938361


Related Questions


Any answers for this?

Answers

Answer:

D(t) = 2,280 - 60t

for D(15) compare the eqns and substitute the value of t.

D(15) = 2,280 - 60(15)

D(15) = 1,380 miles.

In the context of the qn, the Chang family travels 1,380 miles in 15 hours.

what is the answer for this please help

Answers

Answer:

7/10

Step-by-step explanation:

What type of angles are these?
Vertical angles
Complementary angles
Adjacent angles
Supplementary angles
Linear pair

Answers

Answer:

adjacent angle

Step-by-step explanation:

a linear pair =180 so not it

supplementary and complementary can't be it either due to neither being right angles

not a vertical angle

right next to each other with a common line to connect them so adjacent angle

A line passes through point N ( -2, 0). Its slope is -3. What is the linear equation for this line?

Answers

Answer:

y = -3x - 6

Step-by-step explanation:

Pls help will give brainiest!!!

Answers

Answer:

ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan

Step-by-step explanation:

She's imperfect but she tries

She is good but she lies

She is hard on herself

She is broken and won't ask for help

She is messy but she's kind

She is lonely most of the time

She is all of this mixed up

And baked in a beautiful pie

She is gone but she used to be mine

Which number is a constant in the algebraic expression?

Negative x squared minus 6 y + 13 x + 7
Negative 6
Negative 1
7
13

Answers

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

HELP WILL GIVE BRAINLIEST

Answers

Answer:

38° po siya

HOPE IT HELPS

a man earned $180 for working 14 hours. How many hours must he work to earn 300

Answers

Answer:

it would be roughly 24 hours

Step-by-step explanation:

180÷14

12.8571428571

simplify to 12.85

12.85× X = 300

X=24

calculate the area of the shape

Answers

Answer:   a. 164 u²

Step-by-step explanation:

Area of a trapezium  = ¹/₂ (a + b) h

But the height isn't given. So we have to solve for it.

h = √(10² - 6²)         [using the Pythagorean theorem]

  =  8

       

∴ Area of the shape =   ¹/₂  (13 + 28) 8

                                 =  164 u²

First one to answer will be marked brainliest

Answers

Answer:

the ans is..... 10.75 km......

can someone help me with these:2: 302×10^-8. 3:6.8×10^3 . 4 : 9.1×10^-7. 5: 2.3 ×10^4 please need this by 12:10 pm​

Answers

Answer:

Here are your answers!

302×10^-8 = 0.00000302

6.8×10^3 = 6800

9.1×10^-7 = 9.1e-7 OR 0.00000091

2.3 ×10^4 = 23000

Step-by-step explanation:

It looks like these are all questions that require you to move the decimal point. I suggest Following PEMDAS and doing the exponents first. Then counting the number of 0's in the simplified number and moving the decimal that many places. If the answer after solving the exponent is negative move to the left, if it is positive move to the right.

The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How old is the fossil?

A) 5730 years
B) 57 years
C) 5728 years
D) 572 years

Answers

Answer:

The answer is A.

Step-by-step explanation:

Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

Hope this helps!

Please answer correctly nobody ever answers my questions im upset :C

Answers

Answer:

The measure of angle S is 60°

Step-by-step explanation:

This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°

Measure of angle S is 60°

this is because this is a equilateral triangle which is equal to 180° & there are no given measurements for angle T & R so if you do 180 divided by 3 you get 60. hope this helps

2 +2 - 6 + 8 and then 2

Answers

Step-by-step explanation:

2+2 = 4 - 6= -2+8=6+2=8

Answer: 8

Answer:

48

Step-by-step explanation:

First add 2 + 2 = 4

Next subtract 4 - negative 6 = -2

Then add -2 + 8 = 6

Last multiply 6 * 8 = 48

f (x) = x +11. Find the inverse of f(x).

O A. f-1(2) = x3 + 11

O B. f-'(x) = (x + 11)3

O c. f-1(x) = 23 – 11

O D. f-1(x) = (2x – 11)3

Answers

Answer:

y = x - 11

Step-by-step explanation:

f (x) = x + 11

y = x + 11

x = y + 11

x - 11 = y

please please please answer ill pay you

Answers

Answer:

Your answer is :

There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.

Step-by-step explanation:

Hope this helps!

There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.

Reflection RotationTranslation

These transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.

The length of a rectangle is 3 times as long as the width. If the perimeter of the rectangle is 1000 meters what are the side lengths?

Answers

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

Write=1\frac{5}{7}[as an improper fraction.

Answers

[tex]\\ \sf\longmapsto 1\dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7(1)+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{12}{7}[/tex]

lou's car had 6.6 gallons of gas

Answers

Answer:

so they have 6.6 Gallons?

Step-by-step explanation:

What is the question? I’m assuming he have 6.6 gallons of gas as the answer.

Under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle under which angle conditions could a triangle exist? Check all that apply.

3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer:

The answer in short is A,B and E

Step-by-step explanation:

Answer:

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

you got the answer right there

Step-by-step explanation:

Answer:

-14/25

Step-by-step explanation:

7x +2 / 2 - 5x = -2 / 5

First you can cross multiply (shown in the picture):

Next, expand the brackets:

5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x

Now, simplify:

35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25

Hope this helps!

2.5. Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of the meal before the tax was added?
A.$61.75
B. $63.94
C. $64.25
D. $73.92

NO LINKS​

Answers

This is the answer D.73.92

5/4 divided by 10 plzzzzzzz

Answers

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz

a line with the slope of -3 passes through (-8, p) and (2, 3p). Find the value of p

Answers

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you

how many solutions can a quadratic have
a.0 solution
b.1 solution
c.2 solutions
d.3 solutions

Answers

It can have C. 2 solutions.

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.

Answers

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

Pressing one buttonPressing a pair of buttons

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

a line has a slope of 6 and an x-intercept of 7
write the equation for the line slope-intercept form

Answers

Answer:

y = 6x - 42

Step-by-step explanation:

Point (7,0)

y-intercept = 0 - (6)(7) = -42

Tara can type 180 words in 4 minutes at this rate how many words can she type in 10 minutes

Answers

Answer:

450 words at a rate of 45 word per minute

Step-by-step explanation:

180 divided by 4 equals 45

times 10 equals 450

Answer:

450 words in 10 minutes

Step-by-step explanation:

To set this up you need to put it like this:

[tex]\frac{180}{4} =\frac{x}{10}[/tex]

From here, you need to cross multiply, which will get you to: 180(10) = 4x

Multiply 180 and 10: 1,800

The equation will now be: 1,800 = 4x

Now, divide both sides by 4:   450 = x

Given the following equation in point-slope form. Identify the slope and the point.

y - 5 = 3/4 (x+ 3)

M =

Answers

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Answer: M=0,75

Step-by-step explanation:

We have a linear function y=mx+bwhere m is slope ; by intercept  Let's bring the functions to the standard form[tex]\displaystyle y-5 =\frac{3}{4} \cdot (x+3) \\\\ y=\frac{3x+9}{4} +5 \\\\ y=0,75x+2,25+5 \\\\ y=0,75x+7,25 \\\\ y=\boldsymbol {0,75}x+7,25 \\\\ \rm Then : \\\\ M=0,75[/tex]

(a-b)^2+2c when a=13,b=6,and c=5

Answers

Answer:

59

Step-by-step explanation:

Given: a = 13, b = 6, and c = 5

(13-6)^2+2 x 5 (=10)

(13-6)^2+10

=59

Answer:

59

Step-by-step explanation:

Given,

a = 13

b = 6

c = 5

To find : ( a - b )^2 + 2c

Answer : -

( a - b )^2 + 2c

= ( 13 - 6 )^2 + 2 ( 5 )

= ( 7 )^2 + 10

= 49 + 10

= 59

Therefore,

the value of ( a - b )^2 + 2c is 59.

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