How do the average rates of change for the pair of functions compare over the given interval?

f(x)=0.9x^2
g(x)=2.7x^2

1≤x≤5

The average rate of change of f(x) over 1 ≤x≤5 is ☐.The average rate of change of g(x) over 1≤x≤5 is ☐.The average rate of change of g(x) is ☐ times that of f(x)

-(Simplify your answers. Type integers or decimals.)

Answers

Answer 1

9514 1404 393

Answer:

  3 times

Step-by-step explanation:

We observe that both functions are vertically scaled versions of the parent quadratic y = x^2. The ratio of scale factors is 2.7/0.9 = 3. That is, ...

  g(x) = 3f(x)

This means that whatever vertical difference f(x) may show over the interval, g(x) will show 3 times that difference.

The average rate of change of g(x) is 3 times that of f(x).


Related Questions

Sigma notation of 8+4+2+1+1/2+…

Answers

Answer:

-1 have a great day ahead

0,1,3,14,28,45 điền số tiếp theo

Answers

Answer: [tex]67[/tex]

Step-by-step explanation:

[tex]0+1+3=4, \\\\ 4+10=141+3+4=8 \\8+20=283+4+8=15 \\\\ 15+30=454+8+15=27 \\\\ 27+ 40=67[/tex]

The table below represents a linear function f(x) and the equation represents a function g(x):


x f(x)

-1 -9

0 -1

1 7


g(x) = 3x-2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).


Part B: Which function has a greater y-intercept? Justify your answer.


Please hurry as I only have a few hours left too turn in :) Thank you.

Answers

Answer:

Use 2 points from he table to find the slope of f(x):

(0, -1) and (1, 7)

The slope is:

m = (7 - (-1))/1 = 8

The y - intercept is b = -1 according to point (0, -1).

Part A

The lines are:

f(x) = 8x - 1g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

Part B

See above

for science project, you want to dispaly 36 rocks in row, with the same number of rocks in each row find the arrangement that you can use

Answers

Answer:

1 row with 36 rocks in them

2 rows with 18 rocks in them

3 rows with 12 rocks in them

4 rows with 9 rocks in them

6 rows and 6 rocks in each one

9 rows with 4 rocks in them

12 rows with 3 rocks in them

18 rows with 2 rocks in them

36 rows with 1 rock in them

Step-by-step explanation:

Just find what can be multiplied to 36 and you get your answer! (without a decimal)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

what is the property of -49 + 49 = 0​

Answers

Sorry I don't know the answer...

Please help me out, im struggling with this one

Answers

Answer:A

Step-by-step explanation:

Question In The Screenshot

Answers

A= 3
B=6
You are very welcome

I’m doing the same kind of Homework right now

i don't know how to do math lol​

Answers

Answer:

6.5 I'm not sure

Step-by-step explanation:

4 x 3 + 4 x 2 + 13 x + 6 4x 3 +4x 2 +13x+6 is divided by 2 x + 1 2x+1.

Answers

Answer:

If you are trying to simplify this then the answers 304 + 13x

Step-by-step explanation:

fx) varies directly with x and f(x) = 50 when x = -10, then what is f(x) when x = 15?

Answers

Answer:

f(x)=-75

Step-by-step explanation:

since f(x) varies directly with x

it implies that f(x)=Kx

k=f(x)/x

when f(x)=50 and x=-10

k=50/-10

k=-5

but when x=15, f(x)=-5×15

f(x)=-75

Which of the following functions represent exponential decay? f(x)=3(1.7)^x-2
f(x)=3(1.7)^-2x
F(x)=3^5(1/4)^x
F(x)=3^5(2)^-x

Answers

Answer:

F(x)=3^5(1/4)^x

Step-by-step explanation:

By the exponential decay definition: y = ab×

b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.

There is only (1/4)ˣ :  where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice

----------------------------------------------------------------------------------------------------------

But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)

Answer:

B, C, D

Step-by-step explanation:

ASAP

Diego deposits $4200 into a savings account that pays 5% simple interest. He decides not to touch the money until it doubles. How many years will Diego have to keep the money in the account?

Answers

Answer:

It would take 20 years for it to double

Step-by-step explanation:

5% of 4200 is 210 so then divide 4200 by 210 to find the number of years it will take for it to double and you get 20

What system of linear inequalities is shown in the graph?



Enter your answers in the boxes.
85 points -

Answers

Answer:

y ≥ -1/2x + 2y > 2x - 3

Step-by-step explanation:

Find equations of each line using two points on each and then determine the inequalities.

Line 1

Points

(0, 2) and (2, 1)

The slope is:

m = (1 - 2)/2 = -1/2

The y -intercept is 2.

The line is:

y = -1/2x + 2

The shaded region is to the right and the line is solid, so the inequality is:

y ≥ -1/2x + 2Line 2

Points:

(0, -3) and (2, 1)

The slope is:

m = (1 - (-3))/2 = 2The y- intercept is -3

The line is:

y = 2x - 3

The shaded region is to the left and the line is not solid, so the inequality is:

y > 2x - 3

Can somone llsss hell plssss

Answers

Answer:

D

Step-by-step explanation:

a hearty breakfast cause it sound more better


The area of a rectangle is 33 m”, and the length of the rectangle is 5 m less than double the width. Find the dimensions of the
• rectangle

Answers

Answer:

Width: 5:5

Length: 6

Area: (6) (5.5 = 33m^2

Step-by-step explanation:

Width: x

Length: 2x - 5

(2x-5)(x) = 33

2x^2 - 5x - 33 = 0

(2x - 11) (x + 3) = 0

2x - 11 = 0

x = 11/2 = 5.5

x + 3 = 0

x = -3

[(2*5.5)-5](5.5) = 33

Which of the following rules describes the function graphed below

Answers

Answer:

Output = (0.5)(Input) + 1.5

Step-by-step explanation:

input = 1 , output = (0.5)(1) + 1.5 = 2

input = 3 , output = (0.5)(3) + 1.5 = 3

input = 5 , output = (0.5)(5) + 1.5 = 4

input = -1 , output = (0.5)(-1) + 1.5 = 1

hope it helps mark as brainliest pls

Need help with questions
2. and 3.

Answers

9514 1404 393

Answer:

  2)  x = 7

  3)  x = 5

Step-by-step explanation:

When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.

2) All of the angles are right angles.

  11x +13 = 90

  11x = 77 . . . . . . subtract 13

  x = 7 . . . . . . . divide by 11

__

3) The two marked angles are acute.

  16x = 80 . . . . the acute angles are congruent

  x = 5 . . . . . . divide by 16

Read the story. Barry is on the school tennis team. At practice yesterday, he did 3 forehand strokes for every 2 backhand strokes. Pick the diagram that models the ratio in the story. Barry did 50 strokes when he practiced yesterday, and all were either forehand or backhand. How many backhand strokes did he do?

Answers

What are the options ?

Help I’ll mark you brainlist

Answers

Answer:

it says you did it already

Step-by-step explanation:

insta dfl.jacob messeage for help

Please help! I must match the numbers on the left with all appropriate number sets on the right . A number on the left may match with more than one number set on the right. I been stuck on this forever

Answers

Answer:

[tex]\sqrt{5}[/tex] = Irrational

6 = Natural, Whole, Integer, Rational

[tex]\frac{1}{2}[/tex] = Rational

-2 = Integers, Rational

Explanation:

See attached photo! (it is hard to explain in words haha)

      Side note: All natural numbers are rational numbers, but not all rational numbers are natural numbers (this applies differently to all sections, like all integers are whole, but not all whole are integers, etc)

      Side note #2: Whole numbers are just natural numbers AND zero

Hope this is correct (or at least helps), have a nice day! :D

Answer:

see picture below,they’re different numbers but the rules still apply fractions are the same as decimals and obviously negatives match up w negatives so on so forth

Step-by-step explanation:

If m of 8 = 23 degrees, find each measure. Give your reasoning. (Just need the rest of the answers.)

Answers

C.) Vertical Angles Theorem
D.) Is actually Vertical Angles Theorem as well.
E.) Alternate Interior Angles Theorem
F.) Corresponding Angles Theorem
G.) Corresponding Angles Theorem

A soap manufacturer advertises that it has increased the size of their bottle of
dishwashing soap to 18,4 ounces, which is 5% more than the original size,
What is the original size of the bottle?
Round your answer to the nearest tenth

Answers

The original size of the bottle is 17.5 ounces.

The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottle was increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle.

To determine the original size of the bottle, this formula would be used:

New bottle size / total percentage increase in the bottle  =   initial size of the bottle

18.4 / 1.05 = 17.5 ounces

A similar question was answered here: https://brainly.com/question/24666000?referrer=searchResults

The original size of the bottle is 17.5 ounces.The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottlewas increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle. To determine the original size of the bottle, this formula would be used: New bottle size / total percentage increase in the bottle  =   initial size of the bottle 18.4 / 1.05 = 17.5 ounces.

Need help on this, what is the correct name for this number?

Answers

Answer:

I believe its the third one

I think the third one is correct.

Hope my answer helped u :)

If the rectangle below is enlarged by a scale factor of 1.5, what will be the area of the new rectangle?

Answers

4x1.5=6 and 6x1.5=9
new area=l x b
=6x9
=54units^2

If these springs aren’t under the rocking chair and there’s none will you end up falling out of the rock chair when your sitting on it?
Answer ASAP

Answers

Yes because then there would be no support therefore ya know you’d fall to the ground.

City Cab Taxi charges a $2.95 flat rate for a ride in the cab in addition to that they charge $0.50 per mile Katie has no more than $25 to spend on a ride at most how many miles can KD Travel without exceeding her spending limit​

Answers

Answer:

44 miles

Step-by-step explanation:

25-2.95

22.05

22.05/0.5

They can go 44 miles

She can travel 44.1 miles at most.

What is inequality?

Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let Katie can travel [tex]x[/tex] miles

[tex]2.95 + 0.50x\leq 25[/tex]

[tex]0.50x\leq 25-2.95[/tex]

[tex]x\leq 44.1[/tex]

She can travel 44.1 miles at most.

Find out more information about inequality here

https://brainly.com/question/20383699

#SPJ2

How do I graph y=2 on a graph

Answers

Answer:

you put a line on the y axis at y 2 going side to side

Step-by-step explanation:

Answer:

put a horizontal line across y=2 and thats it

Step-by-step explanation:

If m < C is greater than m < E, then Line segment A B is ________ Line segment D F.
congruent to


longer than


shorter than


the same length as

Answers

Answer:

longer than

Step-by-step explanation:

Answer:

longer than

Step-by-step explanation:

branlest po

Help me pls 20 POINTS

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Answer:

bottom =80m^2

Side =50m^2

triangle = 3 ×8 ×5

Highest common factors of 42,72,and 56

Answers

Answer: 8

Step-by-step explanation:

please give me a brainliest answer

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