The graph represents function 1 and the equation represents function 2:

A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 3x + 1

How much more is the rate of change of function 2 than the rate of change of function 1? (5 points)

1
2
3
4

Answers

Answer 1

Answer:

The rate of change of function 1 = 0The rate of change of the function 2 = 3

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Step-by-step explanation:

Function 1

A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).

Given the points

(0, 3)(4, 3)

It means

at x = 0, y = 3

at x = 4, y = 3

Since the y-values are same, it means the points lie on a horizontal.

The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).

Therefore, the rate of change of function 1 = 0

Function 2

y = 3x+1

comparing with the slope-intercept form

y = mx+b      

here m is the rate of change or slope and b is the y-intercept

so the rate of change of the function 2 = m = 3

Conclusion:

The rate of change of function 1 = 0The rate of change of the function 2 = 3

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.


Related Questions

A recipe for a loaf of bread calls for 2/3of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?

Answers

Answer: 18 loaves of bread.

Step-by-step explanation:

Do 12 divided by 2/3 which is the same thing as multiplying 12 by the reciprocal (just flip the fraction) of 2/3 which is 3/2. 12x3/2 is 36/2 which is equal to 18.

What does the constant of proportionality represent?

a
The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate)
b
The value that says all of our ratios are equivalent
c
The number that tells us how fast something is moving
d
The relationship between two rates with no similar units

100 points please answer!!!!

Answers

Answer:

a.

Step-by-step explanation:

By definition, the constant of proportionality is a constant ratio of two variables that are proportional. So the answer is a . The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate).

I need to solve the equation 13b=b+27

Answers

Answer:

Solution in photo

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

what is 8 thousandths less than 4.989?

Answers

8000-4.989 so when you see the word less than it means that you have to subtract and more than you have to add so the answer for this question will be 7,995.011

Kate where are you????

Answers

Lol who is Kate? Good luck! I hope you find her :)

Answer:

What ????????????????

How many albums are in Sal’s collection?

Answers

Answer:

too hard!! (jkk)

Step-by-step explanation:

188 albums.

Add all numbers together and you should get 188

What slope would make the lines perpendicular? y = 4x + 2 y = -x + 2 Enter the number that belongs in the green box.​

Answers

Answer:

The missing number in the green box is 4

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1, which means

if the slope of one of them is m, then the slope of the perpendicular line to it is the negative reciprocal ([tex]\frac{-1}{m}[/tex])

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept

Let us solve the question

∵ The equation of the first line is y = 4x + 2

→ Compare it with the form of the linear equation above

m = 4

∵ m is the slope

The slope of the line is 4

∵ The slope of the perpendicular line should be the negative reciprocal of it

∵ The negative reciprocal of 4 is [tex]-\frac{1}{4}[/tex]

The slope of the perpendicular line is [tex]-\frac{1}{4}[/tex]

→ Substitute it in the equation

∴ y = [tex]-\frac{1}{4}[/tex] x + 2

The missing number in the green box is 4

ASAP!!!! What is the answer?

Answers

Answer:

A, B, C

Step-by-step explanation:

Since the sum of the angles in a triangle is [tex]180^{\circ}[/tex], you can set the equation [tex]9x-7+7x-9+28-2x[/tex]. Simplifying gets [tex]14x=168[/tex]. Dividing gets you [tex]x = 12[/tex]. This is only x so you have to substitute 12 for x in the angles in the beginning to get [tex]\angle{A}=101^{\circ}[/tex], [tex]\\\angle{B}=75^{\circ}[/tex], [tex]\\\angle{C}=4^{\circ}[/tex]

The length of a rectangle is 3 more than the width. The
perimeter of the rectangle is 72 in.
What is the length of the rectangle?
Answer ASAP for brainly

Answers

Answer:

19.5 in.

Step-by-step explanation:

Let the width = x.

The length is 3 more than the width, so the length is x + 3.

perimeter = 2 * length + 2 * width

perimeter = 2(x + 3) + 2x

perimeter = 72

2(x + 3) + 2x = 72

2x + 6 + 2x = 72

4x + 6 = 72

4x = 66

x = 16.5

x + 3 = 16.5 + 3 = 19.5

Answer: 19.5 in.

Answer:

i did it wrong but i dont know how to delete my answer now

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!
The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Write two equivalent expressions that could be used to find the perimeter.
A. 9.6x + 12
B. 9.6x - 12
C. 0.6(6x + 2x + 10 + 8x - 30)
D.0.40(6x + 2x + 10 + 8x - 30)

Answers

Answer:

B and C

Step-by-step explanation:

Which equation in standard form has a graph that passes through the point (3,-9) and has a slope of 5/3?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because I did it and good night and sleep

You bought a used truck for $15,000. The value of the truck will
decrease each year because of depreciation. The truck depreciates at the rate of 8% per year. Write an exponential decay model to represent the real-life problem.

Answers

Answer:

[tex]15000 \times {0.92}^{x} = y[/tex]

x is the number of years and y is the value at x years

The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Calculation of the exponential decay model:

Since the purchase value of the truck is $15,000

The depreciation rate is 8%

So here exponential decay model should be like

[tex]15000 \times 0.92^{x} = y[/tex]

Hence, The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Learn more about model here: https://brainly.com/question/24280482

Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.

A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?

A) 0.59
B) 0.68
C) 0.71
D) 0.80

Answers

Answer:

C) 0.71.

Step-by-step explanation:

To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.

We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.

Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.

The value of the probability P(F or C) is 0.80, Option D is correct.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a survey participant is randomly selected.

Let F be the event that the participant’s first motor vehicle had four cylinders and

let C be the event that the participant’s first motor vehicle was a car.

We need to find the value of P(F or C)

The number of P or c is 118+6+18+16+2

=160

The number of people in total are 200.

P(F or C )= 160/200

=0.80

Hence, the value of the probability P(F or C) is 0.80, Option D is correct.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ7

1. A candy cane company has 2,683 candy canes to package. How many
packs of 12 candy canes will the company be able to make?

Answers

The answer is 223 packs

How many turns will the graph of f(x) = 3x5 -2x4 + 7x2 -9x + 8 have?

Answers

Answer:

The number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4

Step-by-step explanation:

We need to find the number of turns the graph of [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] have?

Turns of graph:

The graphs turns when it changes from increasing to decreasing (rise to fall) or decreasing from increasing (fall to rise)

Turns of graph for a polynomial

A polynomial having degree n will have maximum n-1 turns.

So, for the given polynomial

[tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex]

We need to find degree

The highest exponent of the polynomial is the degree of polynomial

So, Degree n = 5

Number of turns = n - 1 = 5-1 =4

So, the number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4

(x+3)^2=(x+3)(x+3)=x^2+6x+9 express x^2+6x+13 in the form (x+a)^2+b giving the values of a and b

Answers

Answer:

The value of a is 3 while the value of b is 4

Step-by-step explanation:

Here, we want to express the given polynomial in the given form while giving the values of a and b

We can rewrite the polynomial as follows;

x^2 + 6x + 9 + 4

We can factorize the first part;

x^2 + 3x + 3x + 9 + 4

x(x + 3)+ 3(x + 3) + 4

= (x + 3)(x + 3) + 4

= (x + 3)^2 + 4

if a letter in the word calculator is chosen at random what is the probability that it has a vertical line of symmetry

Answers

Answer:

                         

down the middle of an object with vertical symmetry, the two sides  

will be mirror images of each other.

  Examples of capital letters that have vertical symmetry are:

    A H I M O T U V W X Y

Step-by-step explanation:

I believe the answers is it has a 30% chance to land on a letter with a vertical line of symmetry

Correct me if I'm wrong hope this helps plz mark brainliest

please awnser photo of problem

Answers

Answer:

i cant see the photo

Step-by-step explanation:

Answer:1)c 2)d 3) b 4) a

M is the slope, b will always be the y-intersect. X is independent and y is independent.

1/x+2=2/x-1 identify all values of X that make the equation true

Answers

9514 1404 393

Answer:

  as written: x = 1/3

  as maybe intended: x =  -5

Step-by-step explanation:

As written

  (1/x) +2 = (2/x) -1

  3 = 1/x . . . . . . . . . add 1-(1/x)

  x = 1/3

__

As maybe intended

  1/(x +2) = 2/(x -1)

  x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)

  x -1 = 2x +4 . . . . . . . . eliminate parentheses

  -5 = x . . . . . . . . . . . . . subtract (x+4)

X= 5 because use pedmas

What is 28 + .7 + 0.14

Answers

Answer:

9.2

Step-by-step explanation:

Answer:

28.84

Step-by-step explanation:

28 + .70 + 0.14 = 28.84

SOMEONE help PLZ i will give brsinliest you write the two goals

Answers

Answer:

my first goal: my goal is to master on how to solve linear equations

Second goal: to get better at doing rations and rates

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

) and B=(3,−2)≡(x  

2

,y  

2

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

+x  

2

 

) and  y=(  

2

y  

1

+y  

2

 

)

Then, x=  

2

1+3

and y=  

2

2−2

 

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

2/5 of number n is 18, find the value of n

Answers

Answer:

n= 45

Step-by-step explanation:

2/5×n=18

2n/5=18

2n/2=90/2

n=45

Can you help me out with 3 and 4 pls

Answers

Is the a i do that quizz

Answer:

3) False

4) c (-2, -1, 0, 1, 2)

Step-by-step explanation:

The domain is the set of all possible inputs for a function, which is basically the x-values.

the art teacher is sending home a total of 3,150 projects before winter break if each of her 150 students had the same number of projects how many did each student do?

Answers

Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

A cube has a volume 7^3 of cubic centimeters. What is its surface area?

Answers

Answer:

294 cm^2

Step-by-step explanation:

length of the cube is 7cm each side

S.A = 2(7 * 7) + 2( 7 * 7) + 2( 7 * 7)

= 294 cm^2

write the factors of the following expression x3 (2a‐6)+x2 (2a-6)​

Answers

Given:

The expression is

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

To find:

The factors of the given expression.

Solution:

We have,

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

First taking [tex](2x-6)[/tex] common, the given expression can be written as

[tex]=(2x-6)(x^3+x^2)[/tex]

Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get

[tex]=x^2(2x-6)(x+1)[/tex]

Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].

Please Answer

I need this answer by tomorrow please

Answers

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

I think x is 9

They are saying that the triangle have the same sides so I set them equal to each other.

2x=x+9
X=9

Hope it helps!

Describe how the graph is related to the graph of y = lxl.

Answers

Answer:

Vertical shift down 4 units

Step-by-step explanation:

Vertical shift down 4 units

If x and y are two complementary angles,then find the value of y if measure of angle x is 20 degree

Answers

Answer:

y = 70°

Step-by-step explanation:

Complementary angles sum to 90°, then

x + y = 90°, that is

20° + y = 90° ( subtract 20° from both sides )

y = 70°

The answer would be 55 def the larger angle

At 6 AM the temperature read -17 F by noon it had risen by 23 F. Find the new temperature

Answers

Answer:

6 F

Step-by-step explanation:

We want to find the temperature difference

Given that the initial temperature read minus 17 F

And the new temperature is increased by 23 F

The new temperature is

=-17+23= 6 F

Therefore the new temperature is 6F

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