The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the following is the value of f (3)?

Answers

Answer 1

Answer:

The value of f(3)=12.4

Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

f(-2) = 9

We need to find f(3)

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

here we have a=-2 and b=3

Now finding f(3)

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]

So, The value of f(3)=12.4


Related Questions

Evaluate the circulation of G =xyi +zj +4yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.

Answers

Answer:

I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points

Evaluate: (-10 + 15)/-3

Need answer asap​

Answers

Answer:

5/3

Step-by-step explanation:

Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.

Hope this helps... Stay safe and have a great day!!! :D

12. What is the value of x ?

Answers

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

2. Graph x < 8 and x > -1.

Answers

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

best answer get brainly


Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?

Answers

Answer:

I would believe that it would be close 7 whatever is closest to seven bro

Answer:

12

Step-by-step explanation:

20%=2/5

2/5 is equivalent to 12/30

therefore 12 uniforms are medium

The trapezoids are similar shapes. Find the lengths

Answers

X = 25
Y = 10.8
All I did is divide 30 by 50 which is .6 then I multiple by 18 which is 10.8 for y. Then 15 divided by .6 equals to 25

jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?

Answers

Answer:

Jack is 81, Priscilla is 73

Step-by-step explanation:

Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.

if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?

Answers

Answer:

(-1/2 , 5/2)

Step-by-step explanation:

=(-2+1)/2,(-3+8)/2

=(-1/2 , 5/2)

find the slope and y intercept for 15x= -2y-14

Answers

15x = -2y - 14
15 x + 14 = -2y
(-15/2)x - 7 = y
y = (-15/2)x - 7
Slope = -15/2
Y intercept = -7

16. [-12 Points]

DETAILS

CURRENMEDMATH11 3.S.001.

Solve the equation. A calculator may be used.

Express your answer to the nearest tenth.

0.8 1.4.

X

0.45 1

Express your answer to the nearest hundredth.

1.4

0.8

Х

0.45

=

1

Answers

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Answers

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Please answer the 2 questions from the questions on top... (8TH GRADE MATH?!)

Answers

Answer:

6. should be C and 7. should be A

A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.

Answers

Answer:

b) 0.0042495

c) 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Step-by-step explanation:

mean of 7.5 ounces and a standard deviation of 1.33 ounce

When random number of samples are given, we solve using z score with the formula

= z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?

(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√25

z = (8.2 - 7.5)/1.33/5

z = 2.63158

Probability value from Z-Table:

P(x<8.2) = 0.99575

P(x>8.2) = 1 - P(x<8.2) = 0.0042495

(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?

For n= 10

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√10

z = 1.66436

Probability value from Z-Table:

P(x<8.2) = 0.95198

P(x>8.2) = 1 - P(x<8.2) = 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Aye please help! It is a late assignment I missed math class so please helppp!

Answers

Answer:

$3

Step-by-step explanation:

When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.

11.87 ≈ 12

Amount each friend will pay ≈ 12÷4

                                               = 3

Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD

Answers

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

PLATO

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

edmentum

1. Which of the following is rounded off to 2 significant figures correctly? *

a. 23.92 = 25

b. 4.801 = 4.8

c. 347 = 35

d. 482 = 50

Answers

Answer:

b

Step-by-step explanation:

significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures

BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?

Answers

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Please help I’ll mark brainliest if u give a small explanation

Answers

the answer is 4 because the bottom and line DE form a right angle

A normal body temperature for a human is approximately 98°F. What is this temperature in degrees Celsius? Round your answer to the nearest 10th.

Answers

Answer:

36.67

Step-by-step explanation:

when you solbe you get 36.667 then round to become 36.67

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Hence the body temperature in Celsius measure is 37°C .

PLEASE HELP! THE FIRST PERSON WHO HELPS ME WILL HAVE GOOD LUCK!

Answers

Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)

Step-by-step explanation:

Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.

Answers

Answer:

[tex]x^{2} -6x+xy-6y[/tex]

Step-by-step explanation:

Answer:

The values of coefficients a, b and c are

a=1

b=6

c=6

Step-by-step explanation:

We need to give the values of coefficients [a],[b] and [c]  regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]

The term given is: [tex](x+y)(x-6)[/tex]

First we will multiply the terms

[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]

Now comparing the product [tex]x^2-6x+yx-6y[/tex]  with the given form [tex]ax^2-bx + xy - cy[/tex]

The values of coefficients a, b and c are

a=1

b=6

c=6

Bina Chand bought two kettle for rs 1625.she sold one of them
at 20% profit and the other at 20% loss.if the selling price of both kettle are same .find the cost price of each kettle .Also calculate her gain or loss percent in the total transaction. ​

Answers

Answer:

cost of each kettle:

K₁ = 650K₂ = 975

gain/loss from each transaction:

gain from selling K₁ = 130loss from selling K₂ = 195

total loss = 65

loss % = 4%

Step-by-step explanation:

both kettles cost 1625

K₁ + K₂ = 1625

selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁

selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂

1.2K₁ = 0.8K₂

K₁ = 1625 - K₂

K₁ = 0.8K₂ / 1.2

1625 - K₂ = ²/₃K₂

1625 = ²/₃K₂ + K₂ = ⁵/₃K₂

K₂ = 1625 x ³/₅ = 975

K₁ = 1625 - K₂ = 1625 - 975 = 650

selling price = 1.2K₁ = 1.2 x 650 = 780

selling price K₂ = 0.8K₂ = 0.8 x 975 = 780

gain from selling K₁ = 780 - 650 = 130

loss from selling K₂ = 780 - 975 = 195

total loss = 195 - 130 = 65

loss % = 65 / 1625 = 0.04 = 4%

9

What is the range of the numbers?

12,

27, 34, 9, 29, 28, 9

OA.

23

OB. 24

OC.

25

D. 28

Answers

Answer:

it is c

Step-by-step explanation:

tje biggest is 34-9 which is smallest and get 25

A powerboat heads due northwest at 13 m/s with respect to the water

across a river that flows due north at 5.0 m/s.

What is the velocity (both magnitude and direction) of the motorboat with

respect to the shore?

Answers

9514 1404 393

Answer:

  16.9 m/s N 32.9° W

Step-by-step explanation:

The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...

  v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924

  v = 16.9093 . . . . m/s

The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.

  sin(α)/5 = sin(135°)/16.9093

  α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°

The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.

  45° -12.07° = 32.93°

The boat's velocity with respect to shore is about ...

  16.9 m/s N 32.9° W

Decide what can be used to determine the equation of a line when you have two points, but no slope.
a.
slope-intercept form
c.
point-slope form
b.
general form
d.
slope formula, then use one of the given points to find the equation

Answers

Answer:

Slope formula!

Step-by-step explanation:

You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!

I really hope this helped!! Have a good day :)

IX+XC= WHAT IS THE ANSWER

Answers

Answer: X googled it

Answer:  XCIX

This converts to the number 99

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

Explanation:

The upper case letter i means the number 1 in roman numerals. The X represents 10. The C represents 100.

I = 1

X = 10

C = 100

When we form something like IX, we have the smaller digit first and then a larger digit next. Whenever this happens, we subtract

IX = 10-1 = 9

Similarly

XC = 100-10 = 90

So we can see that

IX + XC = 9 + 90 = 99

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

Since XC is larger than IX, we list XC first when it comes to adding

In other words, we need to write IX+XC as XC+IX which collapses to XCIX

Placing XC next to IX without a plus sign implies the plus sign is there. This is effectively how roman numerals work (they are additive)

So,

XCIX = XC+IX = 90+9 = 99

Note how the XC takes care of the tens digit while IX takes care of the units digit.

1. x + 3y = 1 - 3x – 3y = -15​

Answers

Answer:

x = 7, y = -2

Step-by-step explanation:

hey i assume those are two different equations

(x + 3y = 1) 3

-3x - 3y = -15

3x  + 9y =  3

add both equations in elimination method

6y = -12, y = -2

x + 3(-2) = 1

x + -6 = 1, x = 7

A​ man, a​ woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each​ other?

Answers

Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Sample space

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

The parent arrangement is  2!If they are arranged without the woman, the expected event will be 10!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

Learn more on probability here: https://brainly.com/question/25870256

slope = 3, y-intercept = -1

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Well I really don't understand what you're asking, but I'll give it a go.

y = 3x -1

That's what the equation would look like.

Hope this is what you wanted!!!

Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.

Answers

Answer:

15. [tex] x = 15 [/tex]

17. [tex] c = 13.2 [/tex]

19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]

Step-by-step explanation:

15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)

Solve for x

[tex] 120 = 8x [/tex]

Divide both sides by 8

[tex] 15 = x [/tex]

[tex] x = 15 [/tex]

17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)

Solve for c

[tex] 31*11 = 169 + 13c [/tex]

[tex] 341 = 169 + 13c [/tex]

Subtract 169 from each side

[tex] 341 - 169 = 169 + 13c - 169 [/tex]

[tex] 172 = 13c [/tex]

Divide both sides by 13

[tex] \frac{172}{13} = \frac{13c}{13} [/tex]

[tex] 13.2 = c [/tex] (nearest tenth)

19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)

Solve for x

[tex] 5x + 25 = 22*7 [/tex]

[tex] 5x + 25 = 154 [/tex]

Subtract 25 from each side

[tex] 5x + 25 - 25 = 154 - 25 [/tex]

[tex] 5x = 129 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{129}{5} [/tex]

[tex] x = 25.8 [/tex] (nearest tenth)

[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)

Solve for y

[tex] y^2 = 7*22 [/tex]

[tex] y^2 = 154 [/tex]

Take the Square root of both sides

[tex] \sqrt{y^2} = \sqrt{154} [/tex]

[tex] y = \sqrt{154} [/tex]

[tex] y = 12.4 [/tex] (nearest tenth)

Other Questions
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year Which is the best example of a description paragraph in the essay?A. Paragraph 3B. Paragraph 5C. Paragraph 6D. Paragraph 4SUBMIT A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need? Most employers list only the most significant employee tasks in a job description.FalseTrue Aidez moi plz j arrive pas a savoir les rponse Something something memeNow that I've got your attention, I'd like some help from anyone who can provide it! I will give the person or people who help me 50 points each! thank you! Y=-5/8x+3/2 in standard form (picture)complete it pls 150% of what number is 24? What is the sum of the first 10 terms of the sequence:10,5, 0, -5, -10...A. 100B. -125 What is / are major limitations(s) of the UCR as a measure of total crime? If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +8, find ZV. Round to the nearest tenth, if necessary.PLS HELP GEOMETRY Which is currently is used by twenty seven countries A: the yenB: the euroC: the pesoD: the dollar in your own words answer How Do You Define Geography? Is 1.32332333... a rational or irrational number? plssss help me ASAPPPPO Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion. Can any one help me with this scrabble game my letters are: qhtjxbo Why did the Preamble to the Constitution begin with the phrase "We the People" ? Several non-Western musical cultures use blank scales. A. twelve-tone. B. natural minor. C. Polyrhythmic. D. Pentatonic. PLEASE DO NOT COMMENT ON THiS POST UNLESS YOURE ANSWERING THE QUESTION.