2) Compare the following functions to determine which has the greater rate of change. Function 1: y = 2x + 6 Function 2: 0 4 -2 2 Y ] == a​

Answers

Answer 1

You did not clearly mention the second function. So, I am assuming you meant to say that the second function has the table values such as:

x           y

0           4

-2          2

So, I am solving the question based on this information table of the 2nd function, which anyways will clear your concept.

Answer:

We conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.

Step-by-step explanation:

Given the function 1

[tex]y = 2x + 6[/tex]

Comparing the function with the slope-intercept form of the line equation of a linear function

[tex]y=mx+b[/tex]

where m is the rate of change or slope of the line

so

[tex]y = 2x + 6[/tex]

rate of change = m = 2

Now, given the function 2

x           y

0           4

-2          2

Taking the slope of the two points in the table

(0 4), (-2, 2)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(-2,\:2\right)[/tex]

[tex]m=\frac{2-4}{-2-0}[/tex]

[tex]m=1[/tex]

So, the rate of change or slope of the function 2 is: m = 1

Hence, we observe that:

Rate of change of function 1 = m = 2Rate of change of function 2 = m = 1

As the rate of change of a function '1' is greater than the rate of change of function 2.

i.e.

m = 2 > m = 1

Therefore, we conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.


Related Questions

tiffany answered 90% of questions on her math test correctly there were 50 questions on the test how many questions did tiffany answer correctly

Answers

45 questions

.9 x50 = 45

A cell phone company charges $40 per month plus a $35 activation fee.
Part A
Write an expression for the total cost for m months
Part B
Evaluate your expression for 10 months of service.

Answers

A. Cost= $35 + (40•M)
B. The answer would be $435

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework. Help
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread

Answers

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

[tex]4x+3y=11.67\\8x+y=12.89[/tex] This is the answer for question A.

Multiply eq1 by 2:

[tex]8x+6y=23.34[/tex]

Subtract eq3 by eq2:

[tex]5y=10.45\\y=2.09[/tex]

Substitute:

[tex]8x+2.09=12.89\\8x=10.8\\x=1.35[/tex]

One can of soup and one loaf of bread=

[tex]1.35+2.09 or 3.44[/tex]

So:

[tex]$3.44[/tex]

Hope this helps :D Please hit the crown if u can !!

a. The equation should be

4x + 3y = $11.67

8x + y = $12.89

b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09

The calculation is as follows:

here we assume the soup be x and bread be y

So, the equations are

4x + 3y = $11.67 .........(1)

8x + y = $12.89.........(2)

Here we need to multiply by 2 in equation 1

8x + 6x = $23.34

8x + y = $12.89

5y = $10.45

y = $2.09

Now x should be

8($2.09) + y = $12.89

x = $1.355

Learn more: https://brainly.com/question/4804019?referrer=searchResults

75=-5(3+6m) I need this​

Answers

Are you finding m? If so here is the answer:

75 = -5(3 + 6m)

Distribute:
75 = -15 - 30m

Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m

Divide by -30 on both sides:
90/-30 = (-30m)/-30

You should get: m = -3

Is anyone else taking Algebra 2 honors on Edge nuity? let me know!!!!

Answers

Answer:

Nope

Step-by-step explanation:

I'm in 7th grade.

Please help me ASAP! I’m stupid so I don’t know what to do

Answers

Answer:

Step-by-step explanation:90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

∠5

Step-by-step explanation:

So basically it's what it sounds like. They alternate inside. If it was alternate exterior it would means that they would alternate on the outside. Kinda hard to explain, but easy once you understand it.

The sum of three consecutive
integers is 42. Find the integers.

Answers

Answer:

13, 14 and 15

Step-by-step explanation:

Let the integers be:

x, x + 1 and x + 2

Their sum is 42:

x + x + 1 + x + 2 = 423x + 3 = 423x = 39x = 13

The numbers are: 13, 14 and 15

BRAINLIST!!

The Kims drove 450 miles in each direction to Grandmother's house and back again. If their
car gets 25 miles per gallon and their cost for gasoline was $3.25 per gallon for the trip to
Grandmother's house, but $3.50 per gallon for the return trip, how much more money did they
spend for gasoline returning from Grandmother's house than they spent going to Grandmother's?
A) $2.25
B) $4.50
C) $6.25
D) $9.00

Answers

The trip there is 58.5$ and the trip back is 63$. 63-58.5= 4.50. Which makes the answer B

The population of ages at inauguration of all U.S. Presidents who had professions in the military is​ 62, 46,​ 68, 64, 57. Why does it not make sense to construct a histogram for this data​ set? Choose the correct answer below.
A. There must be an even number of data values in the data set to create a histogram.
B. This data set would yield a histogram that is not​ bell-shaped.
C. Adequate class boundaries for a histogram cannot be found with this data set.
D. With a data set that is so​ small, the true nature of the distribution cannot be seen with a histogram.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

A histogram is a bar chart wherein the horizontal scale signifies class interval (or classes of data values) and the vertical scale signifies frequencies or percentages. The altitudes of the columns relate to the frequency values, and the columns are drawn together without breaks.

The histogram has the following properties:

• Shows the shape of distribution

• Shows the location of center

• Shows the spread of data

• Helps in identifying outliers

Since the sample collected is so small, the true nature of the distribution cannot be seen with a histogram.

Thus, the correct option is D.

Helpp me plzzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

what is the area of the figure to the nearest hundredth

Answers

Answer:

7.75

Step-by-step explanation:

Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

A) 7/9 = 3/21
B) 7/21 = 3/9
C) 21/7 = 3/9
D) 7/21 = 9/3

Answers

Answer:

7/21=3/9 is the proportion of 7:21=3:9

Solve each system by graphing or using a table. Check your answers.
- 2x +y = 2
- x + 2y = -2
Use the graphing tool to graph the system.
Click to
enlarge
graph
What is the solution to the system of equations? Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
O A. The solution is
(Type an ordered pair.)
B. There are infinitely many solutions.
OC. There is no solution.

Answers

Answer: there is no solution

Are the lines shown below parallel? Explain

Answers

Answer:

C. No, the slopes are not the same

can someone help with 2.7 please, step by step for better understanding pls, it’d be much appreciated... i don’t have much points left to ask for more help :(

Answers

56 mm = 5.6 cm since there are 10 mm in a cm, so we divide by 10 to go from mm to cm.

Since the diameter is 5.6 cm, this means 12 such cans lead to 12*5.6 = 67.2 cm of length needed to house 12 cans along this row.

Similarly, if we had 6 cans along each column, then 6*5.6 = 33.6 cm is needed for this

The diagram below shows what I mean. This diagram is a top-down view of the box. In other words, it's a birds-eye view.

The last dimension we need to take care of is the height of the box. That would be 2*5.6 = 11.2 cm since there are 2 cans along the height

Therefore, the smallest box possible has dimensions of 67.2 cm by 33.6 cm by 11.2 cm

You could have bigger boxes of course, though you'll need to place cushions inside so the cans don't rattle around. The smallest box dimensions listed above are ideal to avoid wasting too much cushion material (you'll still may need some form of cushion though just not as much).

A number is 25 more than its 5/6th part. Find the number

Answers

Answer:

150

Step-by-step explanation:

25x6=150

25x5=125

150-125=25

150
Explanation
25x6=150
25x5=125
150-125=25

what is the simplified product of 3/8 * 1/2 * 2/3?

A) 1/8
B) 2/16
C) 3/24
D) 6/48​

Answers

Answer:

option A, 1/8

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{3}[/tex]

⇒  3 × 1 × 2/8 × 2 × 3

⇒ 6/48

⇒ 1/8

therefore, option A is the correct option

   

Answer:

A. 1/8

Step-by-step explanation:

i neeeed helpppp asapp​

Answers

Answer:

C

Step-by-step explanation:

You can't divide 12 by 9, if you want a number with no decimals that is.

A chili recipe includes 2 tablespoons of salt and 5 tablespoons of red pepper. Choose ALL statements that are true about this
relationship
A)
There is
tablespoon of salt for each tablespoon of red pepper
B)
There is
IN
tablespoon of red pepper for each tablespoon of salt.
There is tablespoon of salt for each tablespoon of red pepper,
D)
The recipe has a ratio of 5 tablespoons of red pepper to 5 tablespoons of
salt
The recipe has a ratio of 5 tablespoons of red pepper to 2 tablespoons of
salt.

Answers

Answer:

Step-by-step explanation:

D

I WILL GIVE BRAINLIEST
Given ΔDEF : ΔRST, find x.



12
15
16
64

Answers

Answer:

The answer would be 12, I am very sure. :)

answer please serious answers only

Answers

Answer:

u = -7/4

Step-by-step explanation:

This is correct because to find the perpendicular, you need to find the opposite reciprocal of the slope. In this case, the slope is 4/7, so the opposite reciprocal is -7/4.

Answer:

[tex]\displaystyle m_u=-\frac{7}{4}[/tex]

Step-by-step explanation:

Perpendicular Lines

If two lines t and u are perpendicular and have slopes mt and mu respectively, then the following relationship is satisfied:

[tex]m_t\cdot m_u=-1[/tex]

Knowing line t has a slope of \frac{4}{7}, then the slope of line u can be found by solving for mu:

[tex]\displaystyle m_u=-\frac{1}{m_t}[/tex]

[tex]\displaystyle m_u=-\frac{1}{\frac{4}{7}}[/tex]

Operating:

[tex]\mathbf{\displaystyle m_u=-\frac{7}{4}}[/tex]

A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?
2
four units left and one unit down
O four units left and one unit up
one unit right and four units down
O one unit right and four units up

Answers

four units left and one unit up

Solve. f/9 - 21 = -27f=

Answers

Step-by-step explanation:

f/9+27f=21

f(1/9+27)=21

f(244/9)=21

f=189/244

-4.7 divided by 1\4 ????????????????

Answers

Answer:

-18.8

Step-by-step explanation:

1/4 as a decimal is 0.25 so then if you divide -4.7 by 0.25 the answer is -18.8 :)

I hope this helped :)

Answer:

-18.8

Step-by-step explanation:

:)

What is the difference between speed and velocity

Answers

Answer:

Speed is during an action and velocity is built up when your using speed in a direction

Step-by-step explanation:

What is the Mean of 2,10,18,14,6

Answers

Answer:

10

Step-by-step explanation:

2+10+18+14+6= 50

then divide by 5 to get mean = 10

Answer:

the answer is 10

Step-by-step explanation:

if you add up all the numbers you get 50

and if you divide it by the number of results, in this case 5, you get 10!

Abby earned $56 in 7 hours at her job today. She wants to know how much she could earn tomorrow if she works 34 hours at the same hourly rate.
How much will Rachel earn in 34 hours? please help me !!!

Answers

Answer:

It will be $85,  34÷ 4

will give you 8.5 then you multiply it by 10,× 10=85

Answer:

272

Step-by-step explanation:

56:7=8 (she earns 8$ in 1 hour)

8×34=272

798/6 plsssssss help

Answers

Answer:

133

Step-by-step explanation:

If you divide 798 by 6 you would get 133

Plz mark brainliest

Answer:

133

The question wasn't really specific, so I guess this is the answer? If the question is something else, I can edit this answer or delete it if I can't solve.

A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds. Which expression represents this situation?

Answers

A because your diving for a total of 16 seconds and your diving in water so your going down would make it a negative.

Helpp me pleasee I need help

Answers

Answer:

1/2 teaspoon

Step-by-step explanation:

1/4 + 1/4 = 1/2

Answer:

1/2 teaspoon

Step-by-step explanation:

because 1/4 + 1/4 is 2/4 and simplified it is 1/2

Other Questions
Jaime ______________ diecisiete aos. HELP PLZ!!!Examine the table of equivalent ratios and completethis statement.For 5 servings, the ratio of cups of water to cups ofjuice should beA)3:5B)3:2C)5:10D)5:20 How many seconds are in 100 years What is the measure of.....Angle C-Angle D-Angle E- how does the nervous system send messages to the other parts of the body Where does the H+ come from that makes ATP synthase work?Electron Transport ChainKrebs cycleGlycolysis Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from theclass? What is the ordered pair after this point is reflected across the y-axis? 4,2 What is a federal system of government?Citizens have to obey the laws of the United States.No laws are needed since there is a Constitution.Citizens are able to make their own laws.Citizens have to obey the laws of their states. Tania measured the growth of her plant each week. The first week, the plant's height measured 4.78 decimeters. During the second week, Tania's plant grew 0.7 decimeter.How tall was Tania's plant at the end of the second week? Complete the description of the steps to solve the problem.From rounding each number to the nearest whole number, an estimate of the sum is about (______) decimeters. Then add 4.78 and 0.7. Write an equivalent decimal for 0.7 so the addends have the same number of decimal places. Add the hundredths, then the tenths. Regroup 10 tenths as 1 one, and add the ones. At the end of the second week, Tania's plant was decimeters tall.The answer is close to the estimate so the answer is (______) Jen is sewing together fabric rectangles to make a bookmark width 10 cm 9 cm length 3 cm What is the area of the bookmark? A) 27 cm2 B) 30 cm2 C) 57 cm2 D) 60 cm2 oohh this an easy one whats 6x3......6x3........6X3.....WHAT IS IT ) Printers today have many features that include improved quality, photo printing capabilities, digital camera connectivity, built-in flash memory card readers, wireless connectivity, and faster speed. Suppose you are in the market for a new personal printer. Make a list of the most important features needed to meet your needs, and then research printers to identify the best printer for your needs. Be sure to consider both the price of the printer and the price of consumables (such as paper and ink/toner) in your evaluation process. (3 marks) Help meWhich important role did the Freedmen's Bureau play in Georgia?It provided decent housing and established schools.It set rules for written contracts and fair payment for labor.O It set up centers to provide health care and food.O It provided lawyers and social workers free of charge. Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Makayla's birthday. Please help, I hate doing these puzzles What methodes and tools allow us to gain both historical and current perspective of new mecico A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning. Describe the graph of y = negative x squared and compare it with the graph of y = x squared. I need help FAST!!!!!!Hannah wrote the paragraph below about human errors that were made during the Chicago fire of 1871.Several key human errors contributed to the spread of the Chicago fire of 1871. When the blaze first began, Bruno Goll refused to sound the first alarm, which was housed in his drugstore. Later, at the courthouse, Mathias Schaffer instructed his assistant, William J. Brown, to sound Box 342 instead of Box 319, sending firefighters toward the wrong location. When Schaffer realized his mistake, Brown flat-out refused to strike the correct box. Even after the fire, Brown was confident in his decision not to correct the mistake. Finally, as the blaze raged on, fireman John Dorsey attempted to sound a special alarm, but accidentally sounded a general alarm. This meant that additional trucks and equipment were not immediately sent out to help.Which is one essential detail to this paragraph?John Dorsey sounded a general alarm during the blaze.Schaffers assistant was named William J. Brown.The store that Bruno Goll owned was a drugstore.William J. Brown was confident in his decision.