please help meeee I need help

Answer:

a) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

b) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Step-by-step explanation:

We are given function [tex]f(x)=4(2)^x[/tex]

We need to find Average rate of change

The formula used is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

Part a) The interval is: x=1 to x=2

We have a= 1 and b=2

Finding f(a) i.e f(1)

[tex]f(x)=4(2)^x\\Put \ x =1\\f(1)=4(2)^1\\f(1)=4(2)\\f(1)=8[/tex]

Now finding f(b) i.e f(2)

[tex]f(x)=4(2)^x\\Put \ x =2\\f(2)=4(2)^2\\f(2)=4(4)\\f(2)=16[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{16-8}{2-1} \\Average \ rate \ of \ change=\frac{8}{1}\\Average \ rate \ of \ change=8[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

Part b)

The interval is: x=3 to x=4

We have a= 3 and b=24

Finding f(a) i.e f(3)

[tex]f(x)=4(2)^x\\Put \ x =3\\f(3)=4(2)^3\\f(3)=4(8)\\f(3)=32[/tex]

Now finding f(b) i.e f(4)

[tex]f(x)=4(2)^x\\Put \ x =4\\f(4)=4(2)^4\\f(4)=4(16)\\f(4)=64[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{64-32}{4-3} \\Average \ rate \ of \ change=\frac{32}{1}\\Average \ rate \ of \ change=32[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Since the interval is increasing, so does our average rate of change increasing as function is also increasing.

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

Answer:

1131

Step-by-step explanation:

2900 x .39 = 1131

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

Answer: i need help on this one to

Step-by-step explanation:

Answer:

6 just trust me

Step-by-step explanation:

Answer:

17.5-b=12.5 (b=5)

3/2+b=5 (b=7/2)

b+6=15 (b=9)

27 / b= 3 (b=9)

4 x b = 14 ( b=7/2)

Step-by-step explanation:

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

Answer:

who's john?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because A GAY couple can adopt or its hypothetical that they can have a baby obviously

Answer:

haveing a savings account give individuals the ability to borrow money from members in the community

the awnser is C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

im pretty sure that's the right answer!! let me know if I'm right

Answer:

i think its the last option

Step-by-step explanation:

Answer:

Angle a = 112.5°

Angle b = 67.5°

Step-by-step explanation:

Angle a + angle b = 180° (Supplementary Angles/angles on a straight line)

Let x = m<b

m<a = ⁵/3(x)

Therefore:

⁵/3x + x = 180

[tex] \frac{5x}{3} + x = 180 [/tex]

[tex] \frac{5x + 3x}{3} = 180 [/tex]

[tex] \frac{8x}{3} = 180 [/tex]

Multiply both sides by 3

[tex] \frac{8x}{3} \times 3 = 180 \times 3 [/tex]

[tex] 8x = 540 [/tex]

Divide both sides by 8

x = 67.5°

Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°

Angle b = x = 67.5°

Answer:

40.5 mile

Step-by-step explanation:

33 mile + 7.5 mile = 40.5 mile

hope it helps

Answer:

1.5 hr

Step-by-step explanation:

The number of hours of practice each day is 1.5 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of practice weeks = 5

Number of practice days in a week = 5

The total number of practice days.

= 5 x 5

= 25 days

Total time for 25 practice days = 37.5 hours.

The number of hours each practice day.

= 37.5 ÷ 25

= 1.5 hours

Thus,

1.5 hours of practice each day.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

x=3

Step-by-step explanation:

3x3=9

9+2=11

Brainliest plz :)

Answer:

X = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

X = 9/3

X = 3

Probability = the number of ways of achieving success (getting the desired outcome).

P(E) = event with the desired outcome/total no. of events

P(E) = 7/60

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

Answer:

a. rad27

Step-by-step explanation:

we can use a2+b2=c2 where c is the hypotonuse.

we plug in 3^2+b2=6^2

9+b^2=36

b^2=27

then do a rad over each to get rid of the ^2 on the b

b=rad 27

answer is rad27

Answer:

n ≥ 8

Step-by-step explanation:

Answer:

n ≥ 8

Step-by-step explanation:

Answer:

120 mph

Step-by-step explanation:

How to calculate is 600/5

Answer

The average speed of the car is 120 miles per hour.

Explanation

The formula to find speed is distance over time.

600 miles is the distance.

5 hours is the time.

So divide 600 by 5.

600 divided by 5 is 120, meaning the average speed of the car is 120 miles per hour.

Answer: a. 450

b. 7950

Step-by-step explanation:

If Cheryl earns 6% interest during the 6 years she will have

(7500*6)/100=450

450 is the interest that she received

her new balance will be

7500+450=7950

y is -2 is the answer for the question

Answer:

6x + 3y = 1

I hope this helps!

I believe its the first one, think of it like a mirror you would flip the shape which would do make x negative and y positive, sorry if im wrong

Answer:

it would be 6. it is closer to the 6 mark. so the answer would be B. this is the answer.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

$41.11

Step-by-step explanation:

28.75 + (28.75 x 0.35) + (28.75 x 0.08)

Please mark brainliest and have a nice day

Full answer is 41.1125

Answer:

Ok what are we supposed to do?

Step-by-step explanation:

Answer: 135

Step-by-step explanation:

remember PEMDAS

3^3=27

(27*10)/2=270/2=135