How do you compare growth rate of a function?

Answers

Answer 1

Step 1: Given the functions f(x) and g(x) , compute the limit limx→∞f(x)g(x) lim x → ∞ f ( x ) g ( x ) .

Step 2: If the limit in Step 1 is a finite constant a≠0 a ≠ 0 , then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x .

Now, According to the question:

Steps on How to Compare the Rates of Change of Two Functions Using Limits

Step 1: Given the functions f(x) and g(x), compute the limit

limx→∞f(x)/g(x).

Step 2: If the limit in Step 1 is a finite constant a≠0, then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x. If the limit in Step 1 is ∞, then the growth rate of f(x) is greater than the growth rate of g(x). If the limit in Step 1 is 0, then the growth rate of g(x) is greater than the growth rate of f(x).

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Related Questions

Roxanne set a goal o drinking 2.5 liters of water each day.By 10:00 a.M., she drank 3/4 liter, and at lunch she had another 600 ml. In the afternoon. She purchased a ottle of water of water that contained 1.1 liters

Answers

Answer:

She has to drink 0.05 liters more

Step-by-step explanation:

She has to drink 2.5 liters of water each day.

The total amount of water she  drank  is

3/4 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

0.75 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

2.45 liters + x liters = 2.5 liters

x liters = 2.5 liters - 2.45 liters

x liters = 0.05 liters

She has to drink 0.05 liters more  or has not drunk 0.05 liters.

If she drinks 0.05 liters more she will reach her set goal.

3/4 liters

1 liter= 1000ml

3/4 liters= 3* 1000/4 ml

3/4 liters= 3000/4 ml

3/4 liters= 750  ml

750 ml/ 1000ml = 0.75 liters

find the equation to the line below acellus y=

Answers

Answer:

y=mx+C

or

y= m(x-x1)+y1

Molly's family traveled 5/8 of the distance to her uncle's house on Saturday. They traveled 1/3 of the remaining distance on Sunday. What fraction of the total distance to her uncle's house was traveled on Sunday?

Answers

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

Given

On Saturday, Molly's family traveled [tex]\frac{5}{8}[/tex] of the total distance

On Sunday, they traveled one-third of the remaining distance.

Suppose the total distance is x

Distance traveled on Saturday is  [tex]\dfrac{5x}{8}[/tex]

Remaining distance is

[tex]x-\dfrac{5x}{8}=\dfrac{3x}{8}[/tex]

On Sunday, they travel

[tex]\dfrac{1}{3}\times \dfrac{3x}{8}=\dfrac{x}{8}[/tex]

fraction of total distance traveled on Sunday is  [tex]\dfrac{1}{8}[/tex]

State if the three numbers can be the measures of the sides of a triangle
5, 12, 10
Yes
No

Answers

No it can not since two of the sides of a triangle are the same. Don’t click the links!

9 and 10 pls help :)

Answers

Answer:

Question 9

Option A

Question 10

Option A

Please mark as brainliest for further answers :)

What’s (10 x 0.4) + (10 x 0.8)?

Answers

Answer:

12

Step-by-step explanation:

Please help no links or files answer both question will give brainliest

Answers

Answer:

-8.4 and 2 2/9

Step-by-step explanation:

p/1.2=-7 /×1.2

p=-8.4

20/30=3/10y /×10/3

20/9=y=2 2/9

Please help will mark brainliest

Answers

4, 16
-1, 1
3, 9
12, 144
16, 256

The rule is y=x^2. If you square all the numbers on the x side, you will get the numbers on the y side. 4 times 4 = 16. -1 times -1 =1. 3 times 3 =9, and so on.

PLZ HELP I CAN'T FIGURE IT OUT!!!!!!

Parker needs to buy bouquets for table centerpieces. Her client has a budget of $250. If the bouquets cost $14.95 each, which direct variation equation can you use to determine the number of flower bouquets Parker can purchase?
A. x=14.95y
B. y=250x
C.250=14.95x
D. y=250(14.95)

Answers

Answer:

C

Step-by-step explanation:

as stated by the questions, the client has a budget of $250, which means we can't exceed $250. This will be our y (dependent variable, as the cost for y depends on how many bouquets we will purchase).

the bouquets cost 14.95 each, so if we have x bouquets , that means that the cost will be 14.95x (independent variable, as this gives the value of y).

therefore, the equation is 250=14.95x, which is C

but let's do process of eliminiation to double check:

if we look at the options, B and D are out (the cost of the bouquets isn't $250 each and also we can't have 250 bouquets , that would be too expensive for the client).

that leaves A and C

A isn't the correct answer. At first glance, it looks like we just switched x and y around. However, it cannot work because x is always the independent variable while y is the dependent variable (the value of y depends on the value of x, while the value of x doesn't depend on y).

Also, there's no mention of the $250 budget in A

by process of elimination and by the explanation above C is the correct answer.

Hope this helps!

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

6) 33

7) 26.5

..................

Which expression is equivalent to 30 ÷ ( 3 + x)?

Answers

Answer:

???

Step-by-step explanation:

Please put down the answer choices?? Cant help much

please help im not good at this kind of math T-T 20 points :)

Answers

Answer:

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

y=13-3x

when x=0

y=13-3(0)

y=13

when x=1

y=13-3(1)

y=13-3

y=10

when x=2

y=13-3(2)

y=13-6

y=7

when x=3

y=13-3(3)

y=13-9

y=4

when x=4

y=13-3(4)

y=13-12

y=1

really need help asap!!

Answers

the answer is 799 ur welcome

Answer:

Step-by-step explanation:

the parallelogram will have equal distances from center to along each diagonal.  It is hard to explain with words and not being able to draw it.

So       2a+ 14 = 5a - 4     and     a = 2b

solve the frist equation for a  then the second equation for b

2a+ 14 = 5a - 4

      18 = 3a

        6 = a                        a = 2b       6 = 2b

                                                           3 = b

The measure of central angle LOP is °. The length of LP is units. The length of MP is units.

Answers

Answer:

2.87units

Step-by-step explanation:

Find the diagram attached

The length of MP can be gotten using the pythagoras theorem

LP² = LM² + MP²

8.5² = 8² + MP²

72.25 = 64 + MP²

MP² = 72.25 - 64

MP² = 8.25

MP = √8.25

MP = 2.87units

Hence the length of MP is 2.87units

The measure of central angle LOP is 180°. The length of LP = 17 units. The length of MP = 15 units.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The given is given in the question, as shown.

As per the question, we can see that

The measure of central angle LOP is 180°.

LM = 8 units

LP = 2OP

LP = 2(8.5)

LP = 17 units

So the length of LP = 17 units.

As we know that the Pythagorean Theorem,

LP² = LM² + MP²

17² = 8² + MP²

289 = 64 + MP²

MP² = 289 - 64

MP² = 225

MP = 15 units

Thus, the length of MP = 15 units.

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The question seems incomplete, the missing part has been attached below

Need ASAP! Will give brainliest!

Answers

Try the second one B

find the measures of the missing angles in the parallelogram.

Answers

Answer:

p = 32       o = 148       q = 148

Step-by-step explanation:

There are 56 marbles in a bin and 25% of the marbles are red. How many red marbles are in the bin?

Answers

Answer:

14

Step-by-step explanation:

25 percent of 56 is 14

Step-by-step explanation:

100%=56

1%=56÷100=0.56

25%=0.56×25=14

Please please ASAP ASAP please ASAP thank you so
No links or files

Answers

Answer:

c

Step-by-step explanation:

the answer is c (thank you if its right, sorry if its wrong)

need help no ilnks please

Answers

Answer:

D

Step-by-step explanation:

By looking at this scatter plot we can see that the points generally go down when looking at the graph from left to right.

This somewhat straight line that is created is going in a negative direction.

That means that it is not only a linear finction, but is also negative.

find the circumference of the given circle pls pls

Answers

Step-by-step explanation:

circumstance of circle = 2πr= 2 × 22/7 × 2 = 88/7 cm. circumstance = 12.57 cm

Two angles are complementary. One angle is 52°. How many degrees is the other angle?

Answers

Answer:

B

Step-by-step explanation:

Complementary angles sum to 90° then the other angle is

90° - 52° = 38°

Answer:

B 38°

Step-by-step explanation:

complementary angles are two angles that up to 90°, since we know one is 52°, 90-52=38, so your answer is 38

5. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
14
48
50
Your answer

Answers

Answer:

16°

Step-by-step explanation:

Reference angle = [tex] \theta [/tex]

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)

Plug in the values

[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]

[tex] \theta [/tex] = 16.2602047° = 16°

Which statement(s) most directly apply to communism?

I. There is little or no private ownership.
II. Businesses are operated for the benefit of the people as a whole.
III. Individuals who take risks can gain great profits.
a.
I and II
b.
II only
c.
II and III
d.
I and III


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

In the beginning, there was little or no private ownership. Cucumbers are a pretty interesting example. We had an exchange student who said all the cucumbers were raised on one collective the size of 10 sections. He didn't know how many people were on that farm but it employed many people. The farm was located near a very large city so transportation was not a problem. The state owned the farm.

The second one is a result of the first one. Collectives are not meant to benefit the individual. They benefit everyone.

Three is a characteristic of free enterprise.

A: I and II

Answer:

a.

I and II

Step-by-step explanation:

Help ASAP!!!!! Can someone help me??
(And no I’m not gonna click a link)

Answers

Answer:

Sorry i couldnt upload the file i uploaded it onto a file host link is below

brainly.com

also im joking ;)

Answer:

1: 3x^2+2x+2

2: x = 1/4 or 4x+1. (I don't know which way your teacher likes it)

Step-by-step explanation:

Message if want work

Which of the following events below will have an equally likely chance of happening?

A. If an event has a 5% chance of happening

B. If an event has a 50% chance of happening

C. If an event has a 100% chance of happening

D. If an event has a 0% chance of happening

Answers

Answer:

well this is obviusly 50% chance because 100 divided by 2 is 50

Brainliest plezzzz ;)

Step-by-step explanation:

The events below will have an equally likely chance of happening. If an event has a 50% chance of happening.

What is theoretical probability?

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability.

Probability which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

The events below will have an equally likely chance of happening.

If an event has a 50% chance of happening

Learn more about experimental and theoretical probabilities here:

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well this is obviusly 50% chance because 100 divided by 2 is 50

PT=y,TR=x+3,QT=2y,TS=3x-1 I'm confused and u really need help. My teacher isn't the greatest and wasn't much help.

Answers

Answer:

y=10, x=7

Step-by-step explanation:

Since the diagonals of a parallelogram bisect each other, PT should be equal to TR and QT should be equal to TS. So, y=x+3 and 2y=3x-1. Multiplying the first equation by 3 gives you 3y=3x+9. Using elimination to subtract these two equations gives you y=10. And since y=x+3, substitute y=10 there. 10=x+3, x=7.

PLEASE ANSWER THIS QUESTION ASAP NO GUESSING!!!!!!!!!!!

Answers

Answer:

3.5 works because 18-1.666 (2/3) X 3.5 = 12.169 which is less than 15.

4.5 works because 18-1.666 (2/3) X 4.5 = 10.503 which is also less than 15.

8.0 works because 18- 1.666 (2/3) X 8.0 = 4.672 which is also less than 15.

By looking at the number line included 4.5 is the only choice that is included in the shaded line part. So I think that that is the correct answer here.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Alfredo tiene 36 cromos más que Iván, y si comprará 10 más , tendría el triple . ¿Cuantos cromos tiene cada uno?

Answers

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Which is equivalent to 64 1/4
2 4v4
4
16
16 4v5

Answers

Answer: A

Explanation

What is the answer? Answer with correct answer and no wrong ones

Answers

Answer:

C

1/2 of the circle which means half is blue!

please give brainliest!

c. 1/2

its that answer only because the grey side is half and half is also 1/2 and since its shaded its one half. get it?

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