What is the average rate of change of the function below on the interval [0, 0.5]?
F(x)= x^2+7x+10/ x^2 - 7x+6
A. 8.333
B. 6.333
C. 7.666
D. 6.667

Answers

Answer 1

Answer:

add all the numbers and divide by 4

Step-by-step explanation:

Answer 2

Answer:

D

Step-by-step explanation:

F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67

F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5

[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]


Related Questions

If oranges are on sale for $7.27 for 5 lbs, how much would it cost you to buy 2 lbs of
oranges?

Answers

$2:91 cents that’s how much it would cost

Simplify 16m6-15mn+m6+17mn​

Answers

Answer:

[tex]17m^6 + 2mn[/tex]

Step-by-step explanation:

[tex]16m^6 -15mn +m^6 + 17mn[/tex]

Combine like terms, rewrite the equation and perform the operations between the coefficients,

[tex]16m^6 +m^6 -15mn+17mn[/tex]

[tex]17m^6 + 2mn[/tex]

I got the final answer :

2mn + 17m^6

The census is a survey of the population that gathers various details about individuals, such as age. This survey observed
that 155 out of every 200 people were 18 years old or older, Determine the probability of randomly selecting a person that
was 18 years old or older,
Express your answer as a fraction,

Answers

Answer:

31/40

Step-by-step explanation:

Just simplify the fraction

Answer:

31/40

Step-by-step explanation:

Simplify

write the following comparison as a ratio reduced to lowest terms.


40 nickels to 50 dimes​

Answers

Answer:

2.5 : 2

Step-by-step explanation:

Answer:

$2 : $5

Step-by-step explanation:

40 nickels = $2

50 dimes = $5

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.

Answers

Answer:

No that would be a 90 degree

Step-by-step explanation:

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​​​

Answers

Answer:  the correct answer should be 160 but you said that didnt work so try 480

Step-by-step explanation:  

I just did base times Hight 8*10 which is 80*6=480

hoped this helps:))

Answer:

80

Step-by-step explanation:

V= Bh/3

Area of base= (L × W) ÷2

(8×6)÷2 = 24

Multiply by height

24×10=240

Divide by 3 (since its a pyramid therefore has 3 sides)

240/3=80

80 is your answer

a person invested $330 in an account growing at a rate allowing the money to double every 8 years. Write a function showing the amount of money in the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent.

Answers

Answer:

The percentage of growth is of 9.05%.

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

Step-by-step explanation:

Amount of money after t years:

The amount of money in an account after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial deposit and r is the growth rate, as a decimal.

Money doubles every 8 years.

This means that [tex]P(8) = 2P(0)[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^8[/tex]

[tex](1+r)^8 = 2[/tex]

[tex]\sqrt[8]{(1+r)^8} = \sqrt[8]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{8}}[/tex]

[tex]1 + r = 1.0905[/tex]

[tex]r = 1.0905 - 1[/tex]

[tex]r = 0.0905[/tex]

The percentage of growth is of 0.0905 = 9.05%.

Person invested $330

This means that [tex]P(0) = 330[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 330(1+0.0905)^t[/tex]

[tex]P(t) = 330(1.0905)^t[/tex]

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

What is the area of the real object that the scale drawing models?
Scale factor: 1:3
Area =
40 square cm

Answers

Answer:120 square cm

Step-by-step explanation:

40 x 3


It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?

Answers

21/7=3 so 3$ * 4 binders would equal $12
$21/7=$3, to find the price of 1 binder
4*$3=$12, gives the price of 4

solve for x i’ll give brainlest to the right answer

Answers

Answer:

value of x is 11

Step-by-step explanation:

hope it helped!!!

please help me fast please
leo has 1 1/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does leo have left

how do I show my work? ​

Answers

Answer:

The answer is B 7/12

I attached a picture for your work.

A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?

Answers

Answer:

P = 0.232

Step-by-step explanation:

In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.

This adds up to a total of 30 bottles.

Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.

The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,

This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:

p = 12/30

Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.

In this case, the probability is:

q = 11/29

The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.

Then the probability of pulling apple juice and then pulling another apple juice is:

P = p*q = (12/30)*(11/29) = 0.232

please help will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2​​

Answers

308cm 2

V =14 V-6=8 - =22
K+K=14
22 x 14 =308

Naomi receives a base weekly salary of $225 plus a commission of $50 for each cable service
contract she gets signed. A 6% tax is taken out of each paycheck she receives. If Naomi had
9 new clients sign contracts during her last 2-week pay period, how much money in taxes
should she expect to be taken out?

Answers

Answer:

$40.50 will be taken out in taxes.

Step-by-step explanation:

First, solve for how much Naomi will receive in a paycheck:

$225 + $50(9)

$225 + $450

$675

Now, solve for 6% tax:

$675 × 0.06

$40.50

Mihai a măsurat cu pasul său latura unui lot de pământ de forma unui pătrat
şi a constatat că ea cuprinde 93 de paşi. Care este lungimea gardului care
împrejmuieşte lotul dacă Mihai, făcând 3 paşi, parcurge exact 2 m?

Answers

Răspuns:

63 metri.

Explicație pas cu pas:

Dat fiind :

Numărul de pași parcurși = 93

3 pași făcuți de Mihai = 2m

Prin urmare, 93 de pași sunt echivalenți cu:

(93 ÷ 3) * 2m

31 * 2 = 63 m

Prin urmare, lungimea laterală a parcelei pătrate = 63 m

Prin urmare, lungimea gardului care împrejmuiește lotul pătrat = 63m

help pls what is 10,000 - 9,745 = ​

Answers

Answer:

10,000 - 9,745 = 255

Step-by-step explanation:

UwU Hope that helps

Answer: 255

→Hope this helps!←

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.

Answers

Answer:

what is the question because I don't understand what you mean

How many points of intersection do the graphs of these two equations have [2x+3y=7 4x+6y=14

Answers

Answer:

infinitely many they are the same line

Step-by-step explanation:

Which is the following statements CANNOT be true?

Answers

B it is the middle so midpoint

Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is C. P cannot be the midpoint.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.


Since EN≅NG, therefore, the length of the two segments will be equal, which means P can not be the midpoint of the line segment EG.

Hence, the correct option is C. P cannot be the midpoint.

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ2

Simone purchased a new car for $18,700. There
was also a 6% sales tax. What was the total
amount Simone paid for the car, including tax?

Answers

Answer:

19,822

Step-by-step explanation:

What is the Supplimentary angle of 21°?

Answers

Answer:

159 degrees

Step-by-step explanation:

Answer:

159°

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

so 180° – ∠ 21= 159°

15 cm
6 cm
The length is
meters, the width is
meters, and the area is
square meters.

Answers

Answer:

90????? There is not a lot of context. 90 is the area

The circle graph shows Lenora's activities
during 10 hours at school.
School Activities
Homeroom 7.5%
Newspaper
7.5%
Gym
10.0%
Academic
Classes
50.0%
Lunch 5.0%
Softball
Practice
20.0%
How many more hours does she spend at
softball practice than in homeroom?

Answers

Answer:

60.0 I think

Answer:

1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

The difference in time % softball practice than in homeroom:

20% - 7.5% = 12.5%

Convert the difference into hours:

12.5*10/100 = 1.25 hours or 1 hour and 15 minutes

Dave is splitting 3 quarts of ice cream with 9 members of the team. If the ice cream is split​ evenly, how many cups will each person​ get?

Answers

each person will get 1 and 1/3 cups of ice cream

Answer:

Its will be 27 if we are multiplying

Step-by-step explanation:

But I don't think so but if u look up 3 quarts to 9 it will be 4.75 so yea HOPE THIS HELPS!

The measure of angle ABC is 84, find the measure of angle ADC.

Answers

Answer:

Step-by-step explanation:

uhhh i think so its 84 is abc but adc is missing try 48  i dont know but i try

A diagram shows the dimensions for a local botanical garden. Measure the parallelogram to the nearest 1/4 inch. What is the area of the botanical garden diagram in square inches?

Answers

Answer:

4.8 in2

Step-by-step explanation:

2.4 x 2 =4.8

tell me if I'm wrong

Answer:

Step-by-step explanation:

a car is moving 70 miles per hour. how far does it travel in 16 seconds

Answer is what in miles

PLEASE HELP ME!!!!

Answers

Answer:

0.311 miles

Step-by-step explanation:

Convert 16 seconds to hours :

16 /60×60

= 16÷3600

= .004444hrs

Distance = Speed × time

= 70 × 0.00444444

= 0.311 miles

Suppose y varies directly with x. Write an equation relating x and y. y=-12 when x=20

Answers

Answer:

[tex]y = 8 - x[/tex]

when x=20 so y=-12

Write down the next two terms into the given sequence :
-1; 1; 3 ;​

Answers

Answer:

5 ;7

explantion:

-1+2=1

1+2=3

3+2=5

5+2=7

the pattern is +2

Other Questions
. If 30.0 grams of copper (II) chloride reacts with 40.0 grams of sodium nitrate, what is the limiting reactant? Q5. Provide correct form of Verb. (Any FIVE):(i) An accident (happen) near my house last night.(ii) They had been (stand) in the queue for over an hour.(iii) I was (listen) to a great radio show on the way to work.(iv) My uncle (live) in the center of the town.(v) Where (do) you go last weekend?(vi) What time does he (eat) dinner?(vii) Each of them (go) to a different school.(viii) I left the party and (return) home because I was upset. Its urgent, please help me!!!!!!!!!!!!!! I need to do this summative and fast somebody help Read the following passage from Dobsons A Ballad of Heroes.Though, it may be above the plot/ That hid your once imperial clay,Based on the context and the connotation, what can a reader infer is the meaning of the bold word?dirtgraveconspiracystory elements A line passes through the point (-8, -3) and has a slope of -3/2Write an equation in slope-intercept form for this line. Whoever answers CORRECTLY with NO file gets brainliest. 3 polygons with 6 congruent sides are shown.How can you best describe the outside of one of these objects using polygons?The object has sides, so it is.It appears to be because the sides and angles appear to be congruent. Brody shops at three different grocery stores. He uses the ads to determine where to buy certain items. The table shows the cost of a brand of peanut butter at each store. Question 1Part AWhat is the cost per ounce of peanut butter at each grocery store? The Corner Store $____ per ounceMinnie's Market $___ per ounceFood Now! $___ per ounce PLLZZ HELP DUE IN 1 MINNWhat is the value of the expression below?|7| + |3|this girl over here gonna rule the world ya thats what i wanna be thats what im gonna be(sit still look pretty lyrics) what is the other name for doldrum the best way to destroy harmful bacteria in food is to PLEASE HELP SUPER URGENT Brandon plowed snow from 84 driveways in 7 days. He plowed the same number of driveways each day. Tell whetherthe statement is True or False.If Brandon continues at the same rate, he will plow 120 driveways in 12 days.The whole statement is true.Some of the statement is false. Which statement would a Transcendentalist most likely agree with?A. Wealth or great fortune is a sign that a person is naturallysuperior.B. Every person deserves a chance to go beyond his or herlimitations.C. People are naturally selfish, so society should cater to thatimpulse.D. A higher power decides our success or failure before we're evenborn. if you are brave go to the link in the picture PLEASE HELP FOR BRAINLIEST :) TY ill mark you but i just wanna see if my answer is correct or not can someone write a 1000 word essay saying im sorry i used exploits and i wont use them again and i feel bad for the community. Selena has a circular tablecloth with a radius of 3.1 feet. What is the circumference of the tablecloth? Use 3.14 for . Show your work. Use estimation to check your answer ANSWER FOR BRAINLIESTFind the Area of the figure below, composed of a square and four semicircles.Rounded to the nearest tenths place