Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Answers

Answer 1

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]

[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]

[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]

[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]


Related Questions

The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.

Answers

Get good at life and answer it lol 9-9jdjsbdbfnsjfjfnfndn9-9-9-9-9-9 8-7

The price of Pepsi stock was $0.65 in 1981 and $27.56 in 2011. What was the average rate of change for the stock per year
from 1981 to 2011 rounded to the nearest hundredth?

Answers

0.65 at year 0 (0, 0.65)
27.56 at year 30 (30, 27.56)

slope = (27.56 - 0.65) / (30 - 0)
slope = 26.91 / 30

Change = 0.897 or almost 90 cents

5^-3 = In exponential notation

Answers

Answer:

0.008 or 1/125

Step-by-step explanation:

Answer:

[tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].

Step-by-step explanation:

An integer to the power of a negative number is equivalent to one over that base to the power of the positive exponent. In this case, [tex]5^{-3}[/tex] would be [tex]\frac{1}{5^{3}}[/tex] or [tex]\frac{1}{125}[/tex], which equals 0.008. Scientific notation is a way to express a number in the form of [tex]a * 10^{b}[/tex] where [tex]a[/tex] is greater than or equal to 1 but less than 10. We know that 8 would be the value of [tex]a[/tex], so all you need to know is the value of [tex]b[/tex]. Because [tex]10^{-3}[/tex] is equivalent to 0.001, and multiplied by 8 is equivalent to 0.008, that means [tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].

pls help me with this question. plsss​

Answers

Answer:

it has been proved it was quite difficult at statement no 4 and 5. but it has been proved.

if got any mistake and any problem regarding this question then comment it .

hope this helped you☺️

William bought snacks for his team's practice. He bought a bag of oranges for $3.02 and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs?

Answers

Answer:

.95

Step-by-step explanation:

JJ = (22.02 - 3.02) / 20

(22.02 - 3.02) / 20

19 / 20= $0.95

If a1=1. And r=1/5 find a8

Answers

Answer:

a₈ = [tex]\frac{1}{78125}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then

a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]

One third of a herd of animals are grazing in the forest and two fifths of the remaining are
resting nearby a pond. The remaining six are drinking water from the pond. Find the number of
animals in the herd.



Please help fast someone

Answers

Answer:

100 but I am not sure I guess it's 100

Answer:

15

Step-by-step explanation:if you make the donminater  the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15

AC = 3x-1 and AD = 12-x
X=
CD =

Answers

Answer:

54+456/79*78=5689

Step-by-step explanation:

maaf kalo salah

[tex]45 \times 456[/tex]

1. Choose the word that is defined as: Symbols used to represent
unspecified numbers.
Factor
Term
Variable
Power
O Algebraic Expression

Answers

Answer:

I think the first one is the best answer but you might be expected to say variable. I cannot choose one answer. It all depends what you have been told or what your teacher has said about it.

Myself, I would pick A.

Step-by-step explanation:

Symbols (like letters) that are used to represent numbers which are unspecified.

The problem is that variable is also a possible answer. The problem is that a variable is usually a letter. Symbols do are not used for variables in anything but counting systems.

When you look up the word variable it is defined as a symbol. But that is too confining.

Which expression has a value of 3?

A 18 - 4 x 3 - 2

B 1 + 1 X 2

C 6 - 2 x 2

D. 7 + 4 ÷ 4

Answers

Answer:

option(B)

Step-by-step explanation:

1 + 1 × 2

using BODMAS, Multiplication comes first then Addition

=> 1 + (1 × 2)

=> 1 + 2

=> 3

how to write a book report plz help???​

Answers

Answer:

below

Step-by-step explanation:

In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:

What ocurred in the beginning, middle, and end.What you learned from reading it.What you enjoyed about it.

Best of Luck!

Which of the following numbers is irrational?
OA) -7.8 repeating
OB) 25
OC) 25.8125
OD 0.025

Answers

-7.8

The rest can be solved as rational. Negative numbers are not rational.

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

ILL MARK BRAINIEST IF U DO THIS RIGHT!!!

Answers

Answer:

Company C

Step-by-step explanation:

$60+4($20)=$140, lowest total price

A recipe for lemonade calls for 14 lemons for every 2 cups of sugar. If you have 84 lemons to use for making lemonade, how many cups of sugar will you need?

Answers

Answer: about 15 because 14x7=78 and 2 cups for every 14 so 7x2 is 14 and there is 6 remaining so 15 is about right

thank biggie not me

12 cups of sugar needed.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

for 14 lemons= 2 cups of sugar need.

for 1 lemon= 2/14 cups of sugar need.

Now, for 84 lemons

=84*2/14

=6*2

=12 cups of sugar need.

Hence, 12 cups of sugar needed.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

All of the following ratios are equivalent except
4
8 to 12
2:3
09

Answers

Answer:

The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3

Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?

Answers

Hello :D

2 x $4.52 = $9.04

$9.04 + $11.47 = $20.51

2 x $20 = $40.00

$40.00 - $20.51 = $19.49

With change:

$40.00 + $7.72 = $47.72

$47.72 - $20.51 = $27.21

5
Select the correct answer from each drop-down menu.
Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily
temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.
Daily Temperature (°F) Cakes Sold
42
39
45
52
48
31
54
61
59
72
62
35
64
61
65
34
67
58
75
45
84
24
The correlation coefficient is close to
Based on this information, we can conclude that Amélie's cake sales are
affected by the daily temperature,
Reset
Next

Answers

The correct answer is : -0.7

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. There is a common tendency to assume that a change in one variable must be the result of a change in the other when the fluctuation of one variable predicts a similar fluctuation in another variable with high accuracy.

Correlation does not necessarily indicate cause, though. For instance, there might be an unidentified factor that has a similar impact on both variables. When it comes to consumer data patterns, being able to distinguish between correlation and causation can be useful and provide insightful information. In the context of marketing, the beer and diapers example is frequently used to illustrate this.

The correlation coefficient is close to: -0.7 (negative because there is an inverse relationship)

Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.

Therefore, the final answer is : -0.7.

To know more about correlation visit : https://brainly.com/question/15690353

#SPJ1

Help w Geometry !!!!

Answers

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

Hi there!

We're given that angle POR measures 90 degrees. Ray OQ bisects it, meaning it splits it into two equal angles.

90 ÷ 2 = 45.

This means that each of those individual angles are 45 degrees. This means:

[tex]2x+3=45[/tex]

Solve:

[tex]2x=42\\x=21[/tex]

Therefore, x=21.

I hope this helps!

- j/18=-8 what is j?

Answers

Answer:

j = 144

Step-by-step explanation:

-j / 18 = -8

[multiply both sides by 18 to cancel out the denominator of 18

The answer is j-144

Name a number that is an integer, but not whole number.

Answers

Answer:

-1

Step-by-step explanation:

All negative integers are not whole numbers

Someone help please.

Answers

N = 4.2m

Sorry for my bad writing but this is the explanation and answer.

which graph represents the solution set of the compound inequality​

Answers

Step-by-step explanation:

take into 2 sections

-5<a-4 and a-4<2

-1<a and a<6

therefore it should be the 2nd one

1/3x+3/2=2x. solve for x

first correct answer gets brainliest

Answers

Answer:
x = 1/4

let's hope

Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B

Answers

Answer:

Step-by-step explanation:

Sequence is geometric.

[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]

Last term is 8; 5; 2

Numbers of sequence B= 11 or 12 or 13

Can someone please helpp

Answers

Answer:

semoga jawapan ini dapat membantu

Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3

Answers

Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease

Answers

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

In a mathematics class, half of the students scored 40 on an achievement test. With the exception of a few students who scored 80, the remaining students scored 58. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the median.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is less than the mode.

Answers

Answer:

C. the mean is less than the median.

Step-by-step explanation:

hope this helps

the Selling price of an articles is Rs 6000 and 13% of vATis lived on it How much did the costumer pay for it.​

Answers

Answer:

Rs.6780

Step-by-step explanation:

VAT=6000*13/100

       =Rs.780

Price=6000+780

        =6780

The variable y is dependent on the variable 2. The following table represents points on the function f(s) which
represents the two variables.
y
-8-4
-4-2
0 0
4 2
8 4
2 4
Which of the following equations represents the function f(x)?
O f() =
Of(0) = -22
O f() =
O f() = 2x
search
o fim
a
f w bi

Answers

I’ve attached my work
The answer is the first one
You were close but it’s not negative as it increase in numbers
Hope this helps
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