Find the average rate of change of y=log3⁡ x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.

Answers

Answer 1

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

Answer 2

The average rate of change is [tex]\frac{6}{25}[/tex]

What is rate of change over an interval?

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

Learn more about rate of change here: https://brainly.com/question/18193470

#SPJ2


Related Questions

Rewrite each fraction with a denominator of 10 7/2= 3/5=​

Answers

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

[tex]\frac{7}{2}\cdot \frac{5}{5}=\frac{35}{10}[/tex]

[tex]\frac{3}{5}\cdot \frac{2}{2}=\frac{6}{10}[/tex]

is 63 even or odd
is 30 even or odd
is 434 even or odd
is 898 even or odd
is 96 even or odd

Answers

c'mon bro you can't be this helpless

odd, even, even, even, even

Answer:

63 is odd

30 is even

434 is even

898 is even

96 is even

Step-by-step explanation:

Any numbers that end in 0, 2, 4, 6, 8 are even.

Any numbers that end in 1, 3, 5, 7, 9 are odd.

I need help ASAP!!!! BRAINLIEST!!!!

Answers

i think the radius is 2 (:

Answer:it is A or D

Step-by-step explanation:

Jeremy drew a figure that is parallelogram but not a rectangle

Answers

Answer:

2 acute angles and 2 obtuse angles (D)

2 pairs of parallel sides

Which is the best type of graph to show the number of jellybeans eaten by each child at a summer camp?

A. pictograph

B. stem and leaf plot

C.double bar graph

D. line graph

Answers

Option A . Pictograph

Answer:

A. Pictograph

Step-by-step explanation:

Because this graph has a row for each kid so it would show what they want you to

Find the median of the data in the dot plot below.

Answers

Answer:

The answer is 25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

25

Step-by-step explanation:

All the data values from least to greatest:

20, 23, 23, 25, 25, 27, 27, 27, 28

Since the data values are odd, the middle value is the median:

25

how to simplify 12
16​

Answers

Answer:

3/4

Step-by-step explanation:

12/16

divide both by 4

if thats even what what you needed

PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!

Answers

G. A. B. O

By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges

answer these plssssssssssssssssssssss

Answers

Answer:

15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes

Step-by-step explanation:

For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.

For question 16:

Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.

Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Believe it’s 150/15 or 50/1 :>

Hi help no link pls and ty

Answers

Answer:

Unit

Step-by-step explanation:

The probability that it will be warmer today than it was yesterday is 0.1.
The probability that it will be colder today than it was yesterday is 0.7.
a .What is the probability that it will not be colder today than it was yesterday?
b What is the probability that it will not be warmer today than it was yesterday?

Answers

Answer:

a) 30% probability that it will not be colder today than it was yesterday

b) 90% probability that it will not be warmer today than it was yesterday

Step-by-step explanation:

In this question, we have that:

0.1 = 10% probability it will be warmer today than yesterday.

0.7 = 70% probability it will be colder today than yesterday.

a .What is the probability that it will not be colder today than it was yesterday?

70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.

b What is the probability that it will not be warmer today than it was yesterday?

10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday

Find the value of each trigonometric ratio.

Answers

From what i understand from the picture is there is a right angle triangle given with the hypotenes being 37, base being 12 and the perpendicular is 35.

we need to determine the value or Cos x

Easy way to remember which value to out where is

sinx=p/h -----> some people have

cosx=b/h ----> curly brown hair

tanx=p/b -----> through proper brushing

learned this is 8th grade in collage right now still comes in handy

we need cosx so we will use the second formula

[tex]cosx=\frac{b}{h} \\\cosx=\frac{12}{37} \\x= cosx^{-1} (\frac{12}{37})\\[/tex]

which can then be simplified using a calculator

x= 71.1 degree

for this question from what i understand is the answer is cos x = cos (12/37)

*giving brainiest to the first correct answer. Write the equation of the line graphed.

Answers

Answer:

The equation of the line is x = 2

Answer:

x = 2

Step-by-step explanation:

When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,

it can be a horizontal line, y = the number the line is on from the y-axis

or a vertical line, x = the number the line is on from the x-axis.

In this case you have a vertical line so the equation would be

x = the number the line is on from the x-axis, which is 2 so your final answer would be

x = 2

Find the area of the figure to the nearest tenth

A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.

Answers

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

x=16 would be the angle measures.

WHOEVER ANSWERS FIRST I WILL GIVE BRAINLYIST

Answers

Answer:

Vertex v corresponds to vertex A

/_ S corresponds to /_ E

Step-by-step explanation:

After doing a rotation, reflection and translation, the sides will all match up and you'll see it then.

A) 96
B) 59
C) 128
D) 102

Answers

No link needed...::answer is right here....A.96 because the two angles are the same

Please help me with this???

Answers

Answer:

X=3

Step-by-step explanation:

Since all the sides of a square are equal, hence;

5x-2 = x+10

Collect like terms

5x-x = 10+2

4x =12

X = 12/4

X =3

Hence the value of x is 3

What’s 50 divided by 50?

Answers

Answer:

69 nah i'm kidding 4069 nah i'm kidding its 40 nah butt fr its 0

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

50 fits in 50 once

50 ÷ 50 = 1

50 × 1 = 50

no links please
Given f(x) = 1/2x - 3, what is the value of
f(0)
f(11)
f(21)

Answers

The answer is 11 for this question

Elsa received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.54 per pound. After buying the coffee, she had $44.76 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

6 pounds of coffee

Step-by-step explanation:

You take $90-$44.76=$45.24. Then you divide $45.24 by $7.54 then you get 6 pounds of coffee.

im crying please help me so much

Answers

Answer:

A and D

Step-by-step explanation:

Will give brainliest for correct answer

Answers

Answer:

a and c

Step-by-step explanation:

Solve the following quadratic equation for all values of x in simplest form (x+4)²+38=47 ​

Answers

Answer:

- 1

Step-by-step explanation:

( x + 4 )² + 38 = 47

( x + 4 )² = 47 - 38

( x + 4 )² = 9

( x + 4 )² = 3²

Square root on both sides,

x + 4 = 3

x = 3 - 4

x = - 1

You pick a card at random. 5 6 7 8 What is P(divisor of 8)? 11% 83% 25%​

Answers

Answer:25%

Step-by-step explanation:

You have a 25% (1 in 4) to pick 8

Find
Sin 2 (30degrees)

Answers

Answer:

Sin 2 (30)°=  [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Explanation:-

Given that   Sin 2 (30)°

we know that the formula  sin2θ = 2sinθ cosθ

   Given that θ = 30°

   Now  

         sin2(30)° = 2sin30° cos30°

                                             [tex]= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )[/tex]

       After cancellation, we get

                           Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]

Final answer:-

          Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]    

Fastest correct answer will get brainliest

Answers

The correct answers are
-6
-5
-6
-9

The sum of two numbers is 59. The larger number minus the smaller number is 3. Find the numbers.

Answers

Answer:

The 2 numbers are 32 and 27.

Step-by-step explanation:

32 plus 27 equals 59.

32 minus 27 equals 3.

So, the answer is 32 and 27.

Hope this helps! :)

What is the sum of 52.07+8.43

Answers

Answer:

60.5

Step-by-step explanation:

Ehhh 52.07+8.43=60.5?

Other Questions
Help if you can :)Also, show workthxx Please help me, I don't know how to solve it 6. Select the expression that is equivalent to 24 + 64x. A 8(3 + 8x) B (8.3) + (8.x) C 4(6 + 8x) D 4(6 + x) Which one is not a long-term environmental change?PollutionSwimmingDeforestationClimate Change A planet has less mass than a galaxy and more mass than the star it orbits.TrueFalse World War II in Asia and the Pacific, 19411945GEOGRAPHY SKILLBUILDER: Interpreting Maps1. Location Which battle was fought in the most northernregion?2. Movement From what two general directions did Alliedforces move in on Japan? Write the equation of the line that passes through the points (9, -8) and (-7,3).Put your answer in fully reduced point-slope form, unless it is a vertical or horizontalline. 4. Before tax, you make $575 every paycheck. If 8% is deducted for taxes, how much tax is taken from yourcheck?A) $46 B) $529 C) $621 D) $460 What are the factors of 25x^2 9y^2?A. (x-9y)(25x+y)B. (x+9y)(25x-y)C. (5x-3y)(5x-3y) PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2a. y=-3b. x=7c. y=7d. x=-3 Which of the following concepts that originated with the ancient Greeks is directly tied to the practice of direct democracy? (1 point) aconstitution blobbying ccitizenship dnatural rights What are INHERITED TRAITS?The offspring of a plantCharacteristics are passed down from the offspring to the parent. The parent of an offspringCharacteristics passed down from parent to offspring. About 530 million years ago, an evolutionary period known as the "Cambrian explosion" took place. Large numbers of new animal species appear in the fossil record that corresponds with this time.Based on patterns of extinctions documented in the fossil record, about how many of these Cambrian species are probably still surviving today?A- none of themB- All of themC-most of themD-A very small number of them Can someone please help me Please Help, and Hurry please!!How many calories does a patient receive when eating a balanced snack including 3 grams of fat, 6 grams of protein, and 15 grams of carbohydrates?96 calories111 calories126 calories171 calories Change this fraction into a decimal: 80/100.8.088.0.008will give brainlist!!! Lisa got a $50 gift card to an online music store. She uses the gift card to buy an album for $10. She also wants to use the gift card to buy some individual songs. Each song costs $1.50.Which of these inequalities describes the situation for the total amount that Lisa can spend, where n is the number of songs Lisa wants to buy?Group of answer choices10 - 1.50n 5010 + 1.50n 5010 - 1.50n 5010 + 1.50n 50 Find the average kinetic energy of the molecules shown in the sample above. ( C and D are wrong ) a. 5b. 4c. 3d. 36 (06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible answer both asap pls will give brainliest !