between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

Answers

Answer 1

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

[tex]y=2^x\\\ln(y)=x \ln(2)[/tex]

Implicitly differentiate the left side and take the derivative of the right side

[tex]\frac{y'}{y} =\ln(2)[/tex]

Multiply both sides by 'y' which was defined as 2^x

[tex]y'=\ln(2)*2^x[/tex]

Plug in x = 2 and x = 3 to see which slope is larger

[tex]y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)[/tex]


Related Questions

Place the numbers +14/3 -4 -3.95 -13/3 and -4.25 from least to greatest

Answers

-4.25 ,-13/3 ,-4 ,14/3

Hope this helps

someone help ple it's easy ​

Answers

ABCG i think im so sorry if im wrong

You pick a marble from this bag. What is the probability you will choose either a plain black or plain white marble? Simplify your answer.

Answers

Answer:

50% chance for both

Step-by-step explanation:

If its two marbles then you have a 50% chance of picking up either the black or white. If four marbles are in the bag it would be 25%, if 10 then you have 10% and so on.

If you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, a person has to pick a marble from this bag.

We have to find the probability you will choose either a plain black or plain white marble

The probability that you'll select a basic black or plain white marble,

P=favourable outcome / total outcome

P=(either plain black or plain white marble) / 2

P=1/2

P=0.5

Thus, if you pick a marble from this bag. The probability you will choose either a plain black or plain white marble will be 0.5.

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Help Help Help HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp Help

Answers

Answer:

120 birds

Step-by-step explanation:

35/100x= 42

x= 42*20/7= 120 birds

if mine helps please mark as brainliest

Answer:

Imari counted 13 cardinals, 35, sparrows, 23 chickadees, 8 blue jays, 4 woodpeckers, and 17 Robins.

Step-by-step explanation: So if you added all of that up, Imari counted 100 birds in total. It is just simple math. And that name "chickadees" is a funny name. HAHAHHAHAHAHAHH HAve a good day.

Find the surface area of the cylinder. Use 3.14 for P.
A: 56.52 mm²
B: 62.8 mm²
C: 59.66 mm²
D: 65.3 mm²​

Answers

Answer:

d

Step-by-step explanation:

Solve the equation. Show your work, or explain your reasoning.
-4(y - 2) = 12

Answers

Answer:

y=-1

Step-by-step explanation:

Divide both sides by 4

y-2=-3

Then move -2 to -3 and change it's sign to a +

y=-3+2

Then solve for y

pls help me i dont know how to do it

Answers

I would start by multiplying both sides of the inequality by 4 to eliminate the fraction

y + 8 >/= 12
Then subtract 8 from both sides
y >/= 4

Because it is greater than OR equal to, when you graph, you use a solid circle. Greater than means the arrow goes to the right on the line.

So, solid circle on the line on 4, arrow pointing to the right. (Third option from the right)

need help geometry be serious

Answers

Angle A would be the correct one

Finish the lyrics and find out the song :


Handsome is he
There's no question this Ali's alluring
Ali Ababwa
Never ordinary, never boring
That physique!
Everything about that man
How can I spe-

Answers

Answer:

Make way for Prince Ali

Say hey, it's Prince Ali

Hey! Clear the way in the old Bazaar

Hey you, let us through!

It's a brand new star

Oh come

Be the first on your block to meet his eye

Make way, here he comes!

Ring bells, bang the drums!

You're gonna love this guy

Prince Ali, fabulous he, Ali Ababwa

Show some respect, boy, genuflect

Down on one knee

Now, try your best to stay calm

Brush up your friday salaam

Then come and meet his spectacular coterie!

Prince Ali, mighty is he, Ali Ababwa

Strong as ten regular men, definitely

He's faced the galloping hordes

A hundred bad guys with swords

Who sent those goons to their lords?

Why, Prince Ali

Fellas, he's got

(Got seventy-five golden camels)

Uh-huh, now the ladies, what he got?

(Purple peacocks, he's got fifty-three)

Uh-huh, uh-huh, uh-huh

When it comes to exotic-type mammals

Everybody help me out!

He's got a zoo?

I'm telling you, it's a world-class menagerie

Prince Ali, handsome is he, Ali Ababwa

That physique! How can I speak?

Weak at my knees! You yummy boy

So get on out in that square

Adjust your veil and prepare

To gawk and grovel and stare at Prince Ali, oops

He's got ninety-five white Persian monkeys

(He's got the monkeys, a bunch of monkeys)

And to view them he charges no fee

(He's generous, so generous)

He's got ten thousand servants and flunkies

(Proud to work for him)

They bow to his whim, love serving him

They're just lousy with loyalty to Ali

Prince Ali

Prince Ali

We're waiting for you!

We're not going until you go

You can do it

There it is

Prince Ali, amorous he, Ali Ababwa

Heard your princess was hot! Where is she?

And that, good people, is why

He got all cute and dropped by

With sixty elephants, llamas galore (For real?)

With his bears and lions, a brass band and more (What?)

With his forty fakirs, his cooks, his bakers

His birds that warble on key

Make way for Prince Ali!

Step-by-step explanation:

Special Cases
8x+3-10x=2(x-2)+3

Answers

Answer:

x = 1

Step-by-step explanation:

8x + 3 - 10x = 2(x - 2) + 3

Distribute the 2

8x + 3 - 10x = 2x - 4 + 3

Combine like terms

-2x + 3 = 2x - 1

Add 1 to both sides

-2x + 4 = 2x

Add 2x to both sides

4 = 4x

Divide both sides by 4

x = 1

A shoe store is selling a pair of shoes for $60 that has been discontinued by 25%. What was the original selling price?
show your work plssss!!

Answers

Answer:

$80

Step-by-step explanation:

The shoe is being sold for 75% (100%-25%) of the original price. So in order to calculate the original price, divide the discounted price ($60) by 75%.

60/0.75 = 80

Help please. 7th grade

Answers

It is C.8 lines just count how many lines the shape has

Select all of the trips that would take 2 hours.

Multiple select question.

A)
Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.


B)
Walk 3 miles per hour to school, which is 1.5 miles away.


C)
Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.

Answers

Answer:

A)

&

C)

Step-by-step explanation:

120÷60=2

160÷80=2

10. Zeke is calculating the interest earned on a deposit of $5,200 in an account that earns 3.15%
simple interest after 48 months.
I = prt
I = 5,200(.03 15) (48)
I= 7,862.4
Zeke finds the interest earned to be $7,862.40 as shown in his work above. Find and describe the
mistake in Zeke's work:
Find the correct amount of interest earned:

Answers

Answer:

655.20

Step-by-step explanation:

Answer:

686.81

Step-by-step explanation:

The interest of this Question is 686.81.

P: 5200

T:4 Years

R: 0.0315

A=5200(1+0.0315)^4 = Total Value - P = The interest. AKA 686.81

an object has a mass of 3 g and a volume of 4 ml, what is it's density?​

Answers

Answer:

Step-by-step explanation:

Density is mass divided  by volume

d = 3/4 = 0.75 g/mL

Step-by-step explanation:

density=mass/volume=3/4 g/ml

Gina has two job offers as a dog walker. She wants to earn at least $75 each week. The first offer pays $15 each week plus $3 per dog walked. Let x represent the number of dogs walked.

Answers

Answer:

Gina should take the first option because she gets to walk less dogs and make $75

Step-by-step explanation:

lol

Evaluate 3/7r + 5/8s when r= 14 and s= 8

Answers

Answer:

11

Step-by-step explanation:

Step 1:

3/7r+5/8s

Step 2:

So u multiply 3/7 by 14

3/7 x 14= 42/7= 6

Step 2.5:

Now u multiply 5/8 by 8

5/8 x 8= 40/8= 5

Step 3:

6+5=11

Is a b c or d?

(Please explain)

Answers

Equation: 5 + 8x < 3(2x + 4)


• So let’s first distribute:

Multiply 3 by (2x + 4)

That will be 6x + 12.


Put into the question: 5 + 8x < 6x + 12


• Now we can move the numbers around and UNDO to solve for x.

I will move the coefficient first, so subtract 6x from both side, so that it is easier:

5 + 8x < 6x + 12
- 6x < - 6x

That will be: 5 + 2x < 12


Now we’ll subtract the 5 from both side:

5 + 2x < 12
- 5 < -5

That will left with: 2x < 7


Now we divide both side by 2 to left with x.

2x < 7
—- —-
2 2

Now that will be: x is less than 3.5

x < 3.5


Since the inequality is open, the dot is white, or not shaded.

And since x is less than 3.5, any number less than 3.5 is the answer, so A is the answer.

If f and g are two functions defined by
f(x) = 3x + 5 and g(x) = x +1, then g(f(x) is

Answers

Answer:

9x^2 +30x +26.  g(f(x)) = (3x + 5)^2 + 1

Step-by-step explanation:

The value of function g(f(x)) will be (3x + 8).

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of functions are;

f(x) = 3x + 5 and g(x) = x + 1

Now, Find the value of function f(g(x)) by substituting the given values as;

f(g(x)) = f (x + 1)

        = 3 (x + 1) + 5

        = 3x + 3 + 5

        = 3x + 8

Thus, The value of function g(f(x)) will be (3x + 8).

Learn more about the function visit:

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X + 2 ½ = 5 ⅔; x = ?

Answers

Answer:

3.16 or 19/6 / 3 1/6

Step-by-step explanation:

if you bought a stock last year for a price of $120 and it has gone down 10% since then how much is the stock worth now

Answers

Answer:

$108

Step-by-step explanation:

Since $120 is divisible by ten, we can just simply do 120/10, which is twelve. So, 10% of $120 is $12. $120 - $12 = $108

Belle borrowed $18.275 to buy a new car. The interest rate she agreed to pay is 5%. If she takes 5 years to pay back the loan, how much will she owe?​

Answers

Answer:

$22843.75

Step-by-step explanation:

I'm assuming that $18.275 is $18,275

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 18275 × 0.05 × 5 = 4568.75

I = $ 4,568.75

The simple interest accumulated

on a principal of $ 18,275.00

at a rate of 5% per year

for 5 years is $ 4,568.75.

Answer:

$95943.75

Step-by-step explanation:

(assuming that its actually 18,275 and not 18.275)

18,275*1.05(5)

the amount borrowed (18,275)* the interest rate (1.05) *the number of years (5)

If the simple interest on $7,000 for 5 years is $2,800, then what is the interest rate?

Answers

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 2800 / ( 7000 × 5 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 2,800.00

from a principal of $ 7,000.00

over 5 years is 8% per year.

I’m confused as to how to do this

Answers

answer:

you can research their distances online for suggestions

step-by-step explanation:

i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answer

y/9 = 4/12 what is the value of y?

Answers

Answer:

y = 3 is the answer

1.
Which of the following CANNOT be classified as a parallelogram?
A rhombus
B rectangle
C Square
D trapezoid

Answers

d. a trapezoid is not a parallelogram

4(r - 3k) = r - 5k
Solve for r

Answers

Answer:

r= 7k/3

Step-by-step explanation:

Answer:

r=7k/3

Step-by-step explanation:

4r-12k=r-5k

4r=r-5k+12k

4r=r+7k

4r-r=7k

3r=7k

r=7k/3

Solve the equation below and determine the number of solutions.
10y -14 =10y +28

Answers

Answer:

10y-14=10y+28

10y-14+14=10+28+14

answer= 42

A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that person from their starting point?’ I will give brainlest to the best answer.

Answers

Answer:

Step-by-step explanation:

North and Souths get added together. North is positive and South is negative.

East and West get added together. East is positive and West is negative.

This will get us two numbers for a triangle that we can make starting at the origin and ending where the two numbers take us.

10 miles north + 14 miles north = 24 miles north

10 + 14 = 24

5 miles west + 12 miles east = 7 miles east

-5 + 12 = 7

See attached image for picture and rest of work.

Calculate the volume of the cube

Answers

Answer:

try 18

Step-by-step explanation:

because their are 6 sides on the cube and 6 ties 3 equals 18

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