1 Two functions are shown below. Function A Function B x 0 3 5 y 5 3x 1 2 y 3 9 13 Which statement correctly describes the rates of change of the two functions? A The rate of change is 2 for both Function A and Function B. B The rate of change is 3 for both Function A and Function B. C The rate of change is greater for Function A than for Function B. D The rate of change is greater for Function B than for Function A.

Answers

Answer 1

Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A


Related Questions

Simplify the expression.
(7x4)?
(7x4)2 =

Answers

56 ??? i’m pretty sure that’s the answer

Answer:

14

Step-by-step explanation:

i took the test

Can someone help me??

Answers

Answer:
y= 120

33+87=120
180-120= 60
x= 60

180-60= 120
y=120

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answers

Ali Mia and Jared are correct. Molly forgot to divide the 12 by 3

1. The ratio of boys to girls in the 9th grade is 3 to 4. There are 176 girls. Set up a proportion to model this information.

Answers

Answer:132

Step-by-step explanation:

What is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?

Answers

Answer:

y = x + 6

Step-by-step explanation:

A line that is perpindicular to y = -x + 20 would be y = x. Now, we have to solve for the y-intercept. Knowing the line must cross through (-4,2) we can solve for the y-intercept using the equation y = x which is just up one over one. Going over 4 units to get to x = 0 means going up 4 units to get to y = 6. Now we know the y-intercept is 6. This means the final equation is y = x +6.

Stuffed animals each weighing 1/4 pound are on a scale.the scale shows 1-1/2 pounds how many stuffed animals are on the scale?

Answers

Answer:

6

Step-by-step explanation:

if its 1&1/2 then it would be 6

Answer:

6 stuffed animals!

Step-by-step explanation:

This is the answer because: 1/4+1/4=1/2

and, 1/4+1/4+1/4+1/4=1 cup! put them together and you get your answer :D

if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube

Answers

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

Math help, DUE SOON WILL GIVE BRAINLYIST!

Answers

Answer:

3 days

Step-by-step explanation:

4 1/2 - 3/4 = 3 3/4 - 3/4 = 3 -3/4 = 2 1/4

3 - 1/4 = 2 3/4 - 1/4 = 2 1/2 - 1/4 = 2 1/4

2-75. Build, simplify, and solve each equation. Record your work. Steps Explanations c. 3 - 2x = 2x - 5
need the steps ans explanations please​

Answers

Answer:

x = 2

Step-by-step explanation:

Equation:

3 - 2x = 2x - 5

Step 1: add 2x on each side

3 = 4x -5

Step 2: Add 5

8 = 4x

Step 3: Divide by 4

x = 2

A survey showed that 4/5 of moviegoers think tickets are too expensive.
What percent of those surveyed think tickets are too expensive?

Answers

Answer:

80%

Step-by-step explanation:

5 times 20 = 100 so with that each 5th is 20% so 4 times 20 is 80

PLEASE HELP!

Your life insurance policy is $5.01 per pay. If you are paid biweekly, what is your total annual cost for life insurance?

A. $88.76
B. $60.12
C. $130.26
D. $120.24

Answers

Answer:

d 120.24

Step-by-step explanation:

The sugar sweet company is going to transfer its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.

Let C Represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find a total cost to transport 14 tons of sugar.

Answers

Answer:

C=$7650

Step-by-step explanation:

Flat fee of 4500

S= 225x

x=14 tons of sugar

4500+225(14)=$7650 (C)

Equation:

C=4500+225(S)

Answer:

Total cost to transport 14 tons of sugar: $7650

Step-by-step explanation:

In the problem we are trying to find, C, the total cost to transport 14 tons of sugar.

$4500 to rent trucks

Additional $225 for each ton of sugar transported

C=4500+225(S)

We have our equation so now when begin to solve.

The problem gives us, S, the number of tons of sugar we are transporting, which is 14 tons.

So if it is an additional $225 for each ton of sugar then we would multiply 225 and 14. Which will look something like this:

C=4500+225(14)

Now we just simplify!

225(14)=3150

C=4500+3150

C=7650

Solve for y: 8x - 3y = 17


Option 1: y = -3/8 x - 17/3


Option 2: y = 8/3 x - 17/3


Option 3: y = -8/3 x + 17/3


Option 4: y = 3/8 x + 3/17




PLEASE SHOW STEPS.

Brainliest will be awarded to whoever answers with steps and correctly.

# 12 points

Answers

Answer:

x = 2.125 + 0.375y

Step-by-step explanation:

Simplifying

8x + -3y = 17

Solving

8x + -3y = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

8x + -3y + 3y = 17 + 3y

Combine like terms: -3y + 3y = 0

8x + 0 = 17 + 3y

8x = 17 + 3y

Divide each side by '8'.

x = 2.125 + 0.375y

Simplifying

x = 2.125 + 0.375y

Look at the figure. Which of the following segments is not skew to
Ej?

Answers

Answer:

AE

Step-by-step explanation:

Because it intersects with EJ.

Whereas skew lines are those that do not inersect and not parallel with each other.

Hope it helps :)

Answer: AE

Step-by-step explanation:

Which of the following numbers is irrational?
A)
[tex] \frac{ - 7}{4} [/tex]
B)
[tex] \frac{2}{3} [/tex]
C)
[tex] \sqrt{3} [/tex]
D)
[tex] \sqrt{4} [/tex]

Answers

Answer:

D          

Step-by-step explanation:

C because a and b is a fraction and d is can put 2 into four so it's C

Look at the warm-up document and determine your answer. Explain using a well thought out and complete sentence why you chose your answer

Answers

Answer:

The bottom right which I believe is D.

Step-by-step explanation:

All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.


Write the four terms of the sequence f(n) = 12 + 3(n-1)



9,12,15,18,21



12,15,18,21,24



-12,-9,-6,-3,0

Answers

Answer:  B) 12, 15, 18, 21, 24

Explanation:

The given arithmetic sequence is of the form

a+d(n-1)

where 'a' is the first term and d is the common difference

In the case of

12+3(n-1)

we have a = 12 as our first term and d = 3 as the common difference. This means we start with 12 and add on 3 to each term to get the next one

12+3 = 15

15+3 = 18

18+3 = 21

21+3 = 24

and so on.

Side note: your teacher asks about the first four terms, but each answer choice lists five terms.

To make 3/4 pound it makes nuts how many pounds of cashews would you add to 1/8 pound them almonds and 1/4 pound of peanuts

Answers

9514 1404 393

Answer:

  a.  3/8 lb of cashews

Step-by-step explanation:

The amount that needs to be added is the difference between the amount of mix wanted and the amount of mix provided by the given quantities of nuts.

  3/4 lb - (1/8 lb +1/4 lb) = (3/4 -1/4 -1/8) lb = (2/4 -1/8) lb = (4/8 -1/8) lb

  = 3/8 lb . . . . amount of cashews needed

How many sevenths are there in two wholes?

Answers

Answer:

14

Step-by-step explanation:

7 times 2 = 14


What is 2/3 divided by 4/5???????

Answers

Answer:

10/12 also 5/6

Step-by-step explanation:

Answer:

10/12 or the simplified version 5/6

Step-by-step explanation:

you have to multiply 2/3 by the reciprocal of 4/5 which is 5/4

so you write down 2/3 times 5/4 (just multiply across so it's 2x5 over 3x4)

2x5=10 and 3x4=12

10 is the numerator and 12 is the denominator

simplify if the problem calls for it by dividing the top and bottom numbers by 2

Use the properties of longarithms to expand log(x^3y)

Answers

[tex]\log(x^3y) = \log(x^3) + \log(y) = 3\log(x) + \log(y)[/tex]

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound?

Answers

$8.25

Divide 13.20 by 1.6

IVE BEEN ASKING SINCE YESTERDAY!! LITTERALLY!!! EXTREAMLY EASY I AM JUST AFRAID TO GET THIS WRONG SO IF YOU COULD TAKE A MINUTE AND HAVE SOME PITY FOR ME PLS COME HELP AND LOOK!!! WHERE THE EXPERTS!!! THEY DONT COME HELP ANYMORE!!
(yes i know their is some black i did that purposely just do what is not black)
click the image if you want a closer look

Answers

Answer: sorry there isn’t color but you can probably figure out which colors to use for each one

Step-by-step explanation:

PLEASE HELP!!
Does anyone know how to answer this question correctly

Answers

not enough information to tell really but seems like both of those above should be your answer

S.The number of hours spent in an airplane on a single flight is recorded on a dot plot. The mean is 5 hours and the standard deviation is approximately 5.82 hours. The median is 4 hours and the IQR is 3 hours. The value 26 hours is an outlier that should not have been included in the data. 6 8 10 12 14 16 188 20 22 24 26 28 number of hours spent in an airplane When the outlier is removed from the data set a. What is the mean? b. What is the standard deviation? 1-3 C. What is the median? d. What is the IQR? (From Unit 1, Lesson 14.)​

Answers

Answer:

mean: 3.5

standard deviation: 3

median: 3.5

IQR: 3

Step-by-step explanation:

I mean all you gotta do is look at the table that is shown and since the graph is symmetrical the median and mean would be at the center and the standard deviation is basically how far away most of the data points is going to be from the center and the IQR is easy you get the Q1 and Q3 then subtract then and you get 3. So ya.

the empire state building weighs about 7.3X10 to the 8 power (pounds) the world trade center building weighs about 88,200,000 pounds. what’s is total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form aX10 to the power of B, what are the values of A and B?

Answers

Answer:

which principle prevents a brach from abusing  its powerwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

x/3-8=-2

3x – 6 = -12

x/-3=8

Answers

1. 5x-(3x-6)=18
5x-3x+6=18
2x=12
X=6

6. X/-3=8
(-3) x/-3= 8(-3)
X= -24

According to a recent poll 4060 out of 14500 people in the United States were classified as obese based on their body mass index whats the relative frequency of obesity according to this poll?​

Answers

Answer:

around 28% of americans are obese

Step-by-step explanation:

The relative frequency of obesity according to this poll is 28 percent.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

Suppose you've to calculate the joint relative frequency of a certain category out of the given big category.

Then its the ratio of the frequency of that certain category to the total frequency of that big category.

Given According to a recent poll 4060 out of 14500 people in the United States were classified as obese based on their body mass index .

Therefore, the relative frequency of obesity according to this poll is 28 percent.

Learn more about conditional relative frequency here:

https://brainly.com/question/8358304

#SPJ2

-15x²+7x+23=0 i just need the answer of it even it's not correct charr cge na loves​

Answers

Use the quadratic formula where -15 = a, 7 = b, 23 = c:  [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]

Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]

And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]

Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]

Those are approximately 1 and -1.5

Potential Energy is ____ energy

Answers

Answer:

potential energy is mechanical enerygy.

Answer:

kinetic energy

Step-by-step explanation:

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