Find the average rate of change of the function f(x)=(1/2)^x+1/2 over the interval [0, 1]

Answer:

[tex]- \frac{3}{8}[/tex]

Step-by-step explanation:

Use the slope formula:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (1 , 11)\\(x_2 , y_2) = (9 , 8)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex](m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 11}{9 - 1}[/tex]

Simplify by subtracting:

[tex](m) = \frac{8 - 11}{9 - 1} = - \frac{3}{8}[/tex]

[tex]-\frac{3}{8}[/tex] is your answer.

~

Learn more on solving for slope, here:

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Answer:

1/2

Step-by-step explanation:

Answer:

102.8

Step-by-step explanation:

102.8

Answer: where is the diagram

Step-by-step explanation:

question means make it look like

y = ...

Answer:

y=5/4x+2 or y=(5x-8)/-4

Step-by-step explanation:

question means make it look like

y = ...

-5x-4y=-8

-4y=+5x-8

y=(+5x-8)/-4

y=5/4x+2

https://brainly.com/question/11770379

Answer: 15<1.99x

You want to find when fifteen is less than 1.99 per movie. we can say that each movie is some value x. if we change the wording in the first sentence to math, we literally get 15<1.99x.

Answer:

question 2 is A; 15%

Step-by-step explanation:

the change in price is $18; 18 is 15% of 120

The old fare of a Airlines ticket from New Orleans to Boston is  18333 cents. and the change in price is 15% of 120

Let the old price of the ticket = $100

Price is increased by 30%

We can write it as;

New price = $100+ $ 30

New price = $130

We know that 30%  = $550

then 100% = $550 × 100 / 30

So the old fare = $550,00 / 30

                        =$ 1833.3

1 dollars = 100 cents

$ 1833.3 = 18333 cents

Hence , the old fare of a Airlines ticket from New Orleans to Boston is  18333 cents.

Then the change in price is 15% of 120

To learn more about Increment;

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Answer:     D. 1 3/5

Step-by-step explanation

2/5=0.4

4x0.4=1.6

1.6=1 3/5

Answer:

-8/4

Step-by-step explanation:

but if you simplify It , it will be -2.

Answer:Slope m = -2

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−4−43−−1

m=−84

m = -2

Answer:

i am not sure i have not worked on that sorry

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 seconds it would have risen to 30 so 40-30 is 10

Answer: 5/1 or just 5

Step-by-step explanation:

Answer:

-51

Step-by-step explanation:

Given information,

→ 5 + x(-8)

→ x = 7

Let's solve the expression,

→ 5 + x(-8)

→ 5 + 7(-8)

→ 5 + (-56)

→ 5 - 56

→ -51

Hence, the answer is -51.

Answer:

$15.7825

Step-by-step explanation:

$14.75 + $1.0325 = $15.7825

Answer:

$ 15.78

Step-by-step explanation:

Price before tax: $ 14.75

+ Sales tax (7%): $ 1.03

Total price including tax: $ 15.78

Answer: Slope = 1/2

One point = (0,1.5)

Step-by-step explanation:

1. Add 3 to both sides

2. Distribute the 1/2

3. Combine like terms

The slope is the number connected to the x by multiplication.

The constant / number after the plus sign (1.5) is the y-intercept. The y-intercept always has x=0 so you know that it is (0,1.5)

Answer:6

Explanation: 18 divided by 3 is 6

Answer:2

Step-by-step explanation: 20/10=2/1=2

Answer:

y = 3x + 12

Step-by-step explanation:

Determine the slope by y2- y1/x2 - x1

which is 30-24/6-4

            = 6/2

            = 3

Now to find b we use y=mx + b and sub in the values we know so far

30 = 3(6) + b

30 = 18 + b

b = 12

Therefore:     y = 3x + 12

Answer:

Im not sure it this is right

Step-by-step explanation:

y = 2x + 6?

Answer:

when you write out the equation the answer comes out to letter D

Answer:

33

Step-by-step explanation:

The rectangle's perimeter = 62 inches.

The length = 18 inches.

The width: 62 ÷ 2-18 = 13 inches.

1inch ≈ 7.54 centimeters.

13 inches = 13x2.x4 = 33.12 centimeters.~33 cm.

Choose A

The perimeter of the rectangle = (The width + The length) xz }

Answer:

This seems like something that you'd have to do in person

Step-by-step explanation:

you pick random colors and assign a type of music to each one. then you assign whatever you can use as tiles to each color?

Answer: 1/15

Step-by-step explanation:

75 divided by 5 is 15.

Answer:

1/15

Step-by-step explanation:

if you multipy 15 times 5 you get 75 hope this helps

Answer:

0.0216

Step-by-step explanation:

54/25 x 1/100

27/25 x 1/50

27/1250 or 0.0216

Answer:

Step-by-step explanation:

Hope it helps You :)

Answer:

Step-by-step explanation:

I DONT NO THE SAID Shade the models at the right to show how the  value of 0.04 is related to the value of 0.4.  Then write a division equation to  represent the relationship.

Answer:

Allison needs at least 12 more sessions to reach the goal

Step-by-step explanation:

The first thing we must do for this case is to define a variable

We have then:

x: number of sessions.

We write now the inequality that represents the problem.

We have then:

(3/4) x + 3 > 12

From here, we clear the value of x:

(3/4) x > 12 - 3 (3/4)x > 9x >(4/3) * 9x > 12

Answer:

12 more sessions

Step-by-step explanation:

a session is 3/4 of an hour, which is 45 mins. Allison needs to practice 12 hours a week, 720 minutes. If we divide 720 by 45, we get 16, which is the number of session Allison needs to do in order to reach her goal.
Since she already practiced 3 hours, we can find out how many sessions she already completed by dividing 180 by 45. The answer is 4. Now all we need to do is subtract 4 from 16 to find out how many sessions she has left. 16-4 is 12, so we have our answer.

Hope this helped!

answer

is 3/2 or 1 1/2

to find the slope use change in y over change in x . take two points i took 1,0 and 3,3 sand use it find the slope. 3-0 divided by 3-1 = 3 divided by 2. which equals 3/2 or 1 1/2 or 1.5