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

what is 17 = x - 15 with written work please

Answers

Answer:

Step-by-step explanation:

15+17=32

x=32

hope this helps

Step-by-step explanation:

17 = x - 15

or, 17 + 15 = x

or, 32 = x

Therefore, x = 32 Ans

If you spin a quarter in space what type of 3D figure would you
create?

cylinder
half of a sphere
sphere
cone

Answers

d) cone is similar to a quarter circle

Megan boarded a train at 10:23 and arrived at her destination
3 hours 5 minutes later. What time did she arrive at her.
destination

Answers

Answer:

She arrived at 1:28

Will give brainliest for best answer

Answers

Answer:

The answer is A

Step-by-step explanation:

X represents the numbers of cones which is 50

There are 26 empty parking spots and
24 full parking spots in the parking
garage. What is the ratio of the number
of empty parking spots to the number
of full parking spots?

I suck at ratios help me

Answers

Answer:

26:24 or 24:26 that is the ratio

please help me solve for the slope of the graph

Answers

Answer:

4/5

Step-by-step explanation:

Take two points on the lines. From here, we can get (5, 2) and (10, 6). Slope formula involves taking RISE/RUN, which is where you take y-y/x-x. Stay consistent on how you order the numbers. I like positive numbers, so we'll do (6-2)/(10-5). That gives us 4/5, which is your slope.

PLEASE ANSWER I NEED HELP LOTS OF POINTS

Answers

Easy easy easy easy easy easy easy easy ways

Answer:

blank 1 = 4

blank 2 = -5

blank 3 = -1

Step-by-step explanation:

Find the quotient. 28,134 ÷ 47

Answers

Answer:

28,134 / 47 = 598.6

Step-by-step explanation:

For the division of 28,134 ÷ 47, the quotient is determined as 598.596.

What is the quotient of a number?

Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).

When you perform division, the quotient is the answer or the result of the division operation.

For the division of 28,134 ÷ 47, the quotient is calculated as;

28,134 ÷ 47

= 28,134 / 47

= 598.596

Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.

Learn more about quotients here: https://brainly.com/question/33838790

#SPJ3

what is x?
-6x+6=-12
(if you can show your work please do :)

Answers

Answer:

x = 3

Step-by-step explanation:

-6x + 6 = -12

Subtract 6 on both sides

-6x + 6 -6 = -12 -6

-6x = -12 - 6

Simplify

-6x = -18

Divide by -6 on both sides

-6x/-6 = -18/-6

Simplify

x = 3

Solve y for 4(3y - 1) - 5y - 6 = 18

Answers

Answer:

y=4

Step-by-step explanation:

is -5 a rational or an irrational number

Answers

Answer:

Rational

Step-by-step explanation:

An irrational number cannot be written as the ratio. of two integers. An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers.

A rational number is one that can be written as an integer over an integer, with non-zero denominator. ie. all your fractions.

An irrational number cannot be expressed as a ratio of integers

-5 is rational because it is a number that ends and is not a decimal that doesnt terminate.

I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?

Answers

Answer: AB is 14 units long.

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

Explanation:

We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.

AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.

Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).

Once again, the order of the letters matters to tell us how the sides and angles pair up together.

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

In short, the key takeaway from that last section is that we can form this equation:

AB/DE = BC/EF

From here, we apply substitution and solve for x

So,

AB/DE = BC/EF

7x/7 = 4/x

7x*x = 7*4 .... cross multiplication

7x^2 = 28

x^2 = 28/7

x^2 = 4

x = sqrt(4)

x = 2

We only consider the positive square root because x is some side length. Negative x values are not allowed.

To wrap things up, use that x value to find AB

AB = 7x = 7*2 = 14

The people on this app are mean for not answering

Answers

aggreed very mean.....

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Please help meeeee how do you reflect this?????

Answers

Answer:4 units down and 2 units right if I’m wrong I’m sry

Step-by-step explanation:

Answer:

Please I can't see the question well

Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?

Answers

Answer:

Jeri is 13, and thus Theresa is 9 and Laura is 16.

Step-by-step explanation:

Let's start by declaring variables

D - dad's age

L - laura's age

J - jeri's age

T - theresa's age

The first statement tells us that D = L + J + T

Jeri being 4 years older than Theresa gives us

J = T + 4

Jeri being 3 years younger than Laura gives us

J = L - 3

So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So

T = J - 4

L = J + 3

Now, we can rewrite the original equation using only J's

38 = (J + 3) + J + (J - 4)

38 = 3J - 1

39 = 3J

13 = J

So Jeri is 13, and thus Theresa is 9 and Laura is 16.

Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.

Answers

yes, it’s around 50-70g

Step-by-step explanation:

Yes this is not reasonable estimate because we count dozens of eggs not its mass

Can someone help me and if you don’t have the answer don’t answer cause you’re just wasting my time

Answers

Answer: 1 is 534

Step-by-step explanation:

Anyone knows the answer?????????????

Answers

Answer:

No I don't know if they also know then they will tell don't know that then how to tell

Answer:

noooooooooooiiiiiiooooooooooooooooo

Hello, please help me with this as well, but show me example how you worked it out?

33 + - 5

Answers

Answer: 28

Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28

Answer:

Step-by-step explanation:

Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.

So,
What happens during a committee hearing process?
What are the goals of a conference committee?
How many times does a bill get voted on before it gets passed?

Answers

Conference committees operate after the House and the Senate have passed different versions of a bill. Conference committees exist to draft a compromise bill that both houses can accept. Both houses of Congress must eventually pass identical legislation for the bill to be presented to the President.

Joe is signing a lease for an apartment that rents for $1800/month. How much will he pay to move in if he must pay the first and last months' rent and a $1000 security deposit?

A. $5000
B. $4600
C. $4500
D. $2800

Answers

B. $4,600. If he has to pay the first and last months rent you add the $1800 for 2 months getting you $3,600 and then add in $1,000 for security deposit so it creates a total of $4,600

9+9+9+9+9+81+828+8282+92929=

dont use calculator otherwise I will report u

Answers

Answer:

102165

Step-by-step explanation:

92929+8282= 101211

101211 + 828 = 102039

102039 + 81 = 102120

102120 + (9+9+9+9+9) = 102120 + 45 = 102165

Answer:

102165 is your asnwer

Step-by-step explanation:

9+9+9+9+9+81+828+8282+92929=102165

whats the numerator for the following rational expression 8/y+3/y=?/y

Answers

Answer:

11/y

Step-by-step explanation:

Becasue you gave a formula with a common denominator, you only have to focus on adding the numerators 8 and 3

8 + 3 = 11 so than 11 goes over 'y' as 11/y

Hope this helps!

The diagram shows a plan for a wheelchair ramp in a shopping Mall. The distance AC is 4 m. calculate the distance AB when BC= 300cm

Answers

Answer:500 cm.

Step-by-step explanation:in the picture.

Please give me a brainliest

domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?

Answers

Answer:

Domain = 3,-1,-9,3

Range = 3,5,0,-2

Not a function

The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .

Answers

A reasonable function is W = 7F + 5000

Where W is the weight of the plane and F is the number of gallons of fuel.

The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).

So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.

The range is the set of values of W.

The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.

The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800

So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.

Please help with that question

Answers

Answer:

I know just this solution

a line has a slope of 6 and an x-intercept of 7
write the equation for the line slope-intercept form

Answers

Answer:

y = 6x - 42

Step-by-step explanation:

Point (7,0)

y-intercept = 0 - (6)(7) = -42

Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14

Answers

Answer:

12<14

x<12

14>12

14>x

Step-by-step explanation:

I dont know if it is correct but I think it is that way try

What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)? Write your answer in simplest form

Answers

Answer:

I Had A Problem In This Too Lol Here Was Correct For Me

Step-by-step explanation:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}x_{1} }[/tex]

with (x₁, y₁ ) = (- 10, 9 ) and (x₂, y₂ ) = (-12, 7 )

m = [tex]\frac{7-9}{-12-(-10)}[/tex] = [tex]\frac{-2}{-12+10}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1

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