PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.

Answers

Answer 1

Answer:  Choice A.   4 times

========================================================

Explanation:

We'll be using this formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).

To start things off, we'll compute the AROC from x = 1 to x = 2.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]

Do the same for the AROC from x = 3 to x = 4.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.


Related Questions

Find -3A+6B ...........

Answers

-3(a-2b)vavsbbshshwhwjwjwjwjwjjw

see screenshot below/above

Answers

Answer:

x-int: (-2,0)

y-int: (0,1.333)

Step-by-step explanation:

A pack of $2.99 crayons is on sale 50% off what is the discount?

Answers

Answer:

$1.49

Step-by-step explanation:

Take your value: $.99 and since it is 50% off, divide it by 2.

You get $1.49.

10-24
Which graph represents the solution to this system of inequalities?
-
3х — 5у < 15
y> - x +1

Answers

Answer:

Like this...

Step-by-step explanation:

The best represented graph should look something like this :)

(program used is Desmos)

Write 6^7 + 6^5 + 11 in base six. Use the digits 0, 1, 2, 3, 4, 5

Answers

Answer:

Sorry I don't remember the answer

Somebody please help me !!

Answers

1. (-1, 1

2. (-2,-2)

3. (-3, 1)

hope this helps!!

a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?

Answers

If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population  in which the researcher will then study or observe the data collected  at a particular period of time.

Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.

The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.

Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

Learn more about Cross-sectional here:

https://brainly.com/question/1900606



which the following is a solution to the inequality below

5> x

Answers

Answer:

x < 5

Step-by-step explanation:

1) Swap sides

5 > x

Swamp sides:

x < 5

2) Solution on coordinate plane

Solution: x < 5

Interval Notation: (-∞,5)


Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?

Answers

Answer: 27.97 m^2

Explanation:
Area = Length x Width
Area = 3.6m x 7.77m
Area = 27.97 m^2

Please help !!! Will mark as brainliest !!!

Answers

Answer:

So the answer would be (A.

Step-by-step explanation:

Determine the inverse of the function f (x) = 3(x − 4)^2 + 5.

Answers

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

What is the inverse of a function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

[tex]f(x) = 3(x-4)^{2} +5[/tex]

The above function can be written as

[tex]y = 3(x-4)^{2} +5[/tex]

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

Find out more information about the inverse of the function here:

https://brainly.com/question/2541698

#SPJ2

Tonya has 5/8 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?

Answers

Answer:

5/16

Step-by-step explanation:

you can't split 5 in half, so you need to multiply the fraction to make it so you can split it in half. Multiply the equation by 2

5/8 * 2=10/16

now you can divide it by two to get 5/16

Hope this helps!

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

Please help I will make you Brainliest (show working)​

Answers

Answer:

id kkkkkkkkk

Step-by-step explanation:

solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answers

3x-7y=-18
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)

What is the value of this

Answers

Answer: -16  Happy to Help :)  Brainliest Please

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Could somebody solve this problem for me- step-by-step? I would appreciate it!

Answers

Answer:

The first step would be to add the problem.

The second step would be for us to answer it.

The third and final would be appreciation.

pythagorean theorem help meeeeee!!

Answers

Answer:

25

Step-by-step explanation:

remember that the pythagorean theorem is a²+b²=c²

so this equation would be:

7²+24²=c²

solve the exponents

49 + 576 = c²

combine like terms

625 = c²

take the radical of each number

√625 = √c²

25 = c

have a lovely day <3

Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.

Answers

1318.4 x 10 to the third power

please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.

Answers

Answer:

1) y=3.5+(5•x)

2) 103.5

3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider

Answer:

im gonna go with c

please someone explain to me how did we multiply the denominator in this

Answers

ok so what you wanna do is use multiplication

PLEASE SHOW YOUR WORK. ITS FOR A TEST!

–4r – 11 = 4r + 21

Answers

Answer:

r = -4

Step-by-step explanation:

-4r - 11 = 4r + 21

-8r - 11 = 21

-8r = 32

r = -4

Hopefully this helps!

Brainliest please?

-4r - 11 = 4r + 21
-4r - 4r = 21 + 11
- 8r = 32
r = 32/-8
r = 24


hope that helps :).

PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST

Answers

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

In a neutral atom that has 18 protons, how many electrons does it have?

Answers

Neutral atoms must have equal numbers of protons and electrons

Solution: 18 electrons

Determine the type of triangle that is drawn below.

Answers

Answer:

scalene acute

Step-by-step explanation:

all the angles are lower than 90º

no two angles are the same

Cuales son los lados correspondientes de un ángulo

Answers

Answer:

Los lados correspondientes de un polígono son los lados que están en la misma posición en polígonos similares. En geometría, encontrar la congruencia y la similitud implica comparar los lados correspondientes y los ángulos correspondientes de los polígonos. En este artículo, aprendamos más sobre triángulos rectángulos similares, lados correspondientes, su definición, cómo son proporcionales

Step-by-step explanation:

simply the following expression

Answers

Answer:

[tex] \dfrac{4r^6}{st^8} [/tex]

Step-by-step explanation:

[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]

Use laws of exponents to simplify the right set of parentheses.

[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]

Now use the law of exponents for a product of powers with the same base.

[tex] = 4r^6s^{-1}t^{-8} [/tex]

Finally, use the definition of a negative exponent.

[tex] = \dfrac{4r^6}{st^8} [/tex]

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Answers

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase

Answers

Answer:

39.95+(how many shirts times 19.95)

Step-by-step explanation:

What is the P (getting a number less than 8)?

Answers

Answer:

2/3

Step-by-step explanation:

there's 6 total and 4 numbers less than 8 so probability is 4/6 simplify and u get

2/3

Answer is B
Numbers less than 8: 2, 3, 5, 6. In total 4 number
4/6 = 2/3
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