What is the average rate of change over the interval [0, 4]?

What Is The Average Rate Of Change Over The Interval [0, 4]?

Answers

Answer 1

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

[tex] f(0) = 0 [/tex] (when x = 0, y = 0)

[tex] f(4) = 3 [/tex] (when x = 4, y = 3)

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

Where,

[tex] a = 0, f(a) = 0 [/tex]

[tex] b = 4, f(b) = 3 [/tex]

Plug in the values into the formula for average rate of change.

[tex] = \frac{3 - 0}{4 - 0} [/tex]

[tex] = \frac{3}{4} [/tex]

Average rate of change [tex] = \frac{3}{4} [/tex]


Related Questions

The members of a population are numbered 150. Use the table linked below to obtain a simple random sample of size 6 from the population. Start at the​ two-digit number in line number 00 and column numbers 21-22 and read down the columns. After reaching the bottom of those two​ columns, move to the bottom of the next two​ columns, read up those​ columns, and so on.

Answers

Answer:

Number of 2 digit number: 10 to 99, 90 numbers. Hence,P(selecting a 2 digit number) = 1/90 = .

Step-by-step explanation:

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How
far is Becky from the school?

Answers

14 of your adding.......
The distance from school to home is 10 blocks


c2 = a2 + b2

c2 = 62 + 82

c2 = 36 + 64

c2 = 100

c = √100

c = 10

7
It takes
2
yd of ribbon to make a hair bow. How much ribbon is needed to make 7 bows?

Answers

Answer: 14 yrds

Step-by-step explanation: 2 times 7= 14

(6 + 4)^2 + (11+ 10/2) Simplifyyyyy

Answers

Answer:

116

Step-by-step explanation:

we do pemdas so start with parenthesis

6+4=10

10 squared =100

then we divide before adding so

10/2 = 5+11= 16

100+16= 116

Solve for x: x − 2 > 2x + 12

Answers

Answer:

x < -14

Step-by-step explanation:

Solve the inequality  x − 2 > 2x + 12 for x:

First, subtract x from both sides.  In the resulting inequality x is on the right side with +12:

-2 > x + 12

Subtract 12 from both sides to isolate x:

-14 > x OR x < -14

can i pleaseee have hellpp

Answers

Answer:

LOM= 130º

Step-by-step explanation:

Combine the two equations and set it to equal 180º(LON), 180º=12x+120º

next subtract 120º from both sides, 60º=12x. Now divide both sides by 12, 5=x. Now you can plug 5 back into the original equation to calculate MON, 8x5+90º

Answer:

∠MON = 130

Step-by-step explanation:

∠LON = 180°

∠LOM +  ∠MON = 180 -------equation

where:

∠LOM = 4x + 30

∠MON = 8x + 90

plugin values into the equation

4x + 30 + 8x + 90  = 180

4x + 8x + 30 + 90 = 180

12x = 180 - 30 - 90

12x = 60

x = 60/12

x = 5

plugin values to ∠MON = 8x + 90

∠MON =  8x + 90

∠MON = 8(5) + 90

∠MON = 130

Find the missing side length.



I’m new to the app and just trying to figure out how thinks work :) sorry

Answers

Answer:

7 ft

Explanation:

15 - 8 = 7

Answer:

The missing side length is 7

Step-by-step explanation:

Simply subtract 8 from 15

15-8=7

The missing side length is 7

Hope this helps! Plz award Brainliest : )

What is the value of x in the equation below?
-3-(-8)-(-2)= X
0 - 13
og
o 3
o

Answers

Answer:

g= −6/13o5

Step-by-step explanation:

Let's solve for g.

−3−(−8)−(−2)=x0−13ogo3o

Step 1: Flip the equation.

−13go5+1=7

Step 2: Add -1 to both sides.

−13go5+1+−1=7+−1

−13go5=6

Step 3: Divide both sides by -13o^5.

−13go5

−13o5

=6−13o5

g=−6/13o5

Use the graph of the function to find domain and range. Write in interval notation.

Answers

Answer:I am not sure dont come at me but 9.5

Step-by-step explanation:

The numbers are 52,55,58,58,62,62,65,68. Which dot plot represents this information

Answers

Answer:

B.

Step-by-step explanation:

The answer is B because if you look at the graphs it should be easy to tell

6. Which place has 1/10 the value of the underlined digit? 5,433.331
a. Ones
b. Tenths
c. Hundredths
d. tens

Answers

Answer:

Step-by-step explanation:

1/10 is one tenth

what is
2/3 of 1/4 of x = 1360​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{2}{3} \times \frac{1}{4} \times x = 1360}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

[tex] \longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4} \times x = 1360}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{2}{12} \times x = 1360}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{1}{6} x = 1360}}[/tex]

Solve for x

[tex] \longrightarrow{ \sf{x = 1360 \times 6}}[/tex]

[tex] \longrightarrow{ \sf{x = 8160}}[/tex]

Hope I helped!

Best regards! :D

Ashley can ride her bicycle 15 miles

Answers

what’s the question?

If your question is: Ashley can ride her bicycle 15 miles in 2 hours. There are 60 miniutes in an hour and there are 1760 yards in 1 mile. How many yards does Ashley travel each minute?

____________________________________

First, do 15 miles divided by 2 hours. In addition, do 1 hour divided by 60 minutes (1). Thus, do 1760 yards divided by 1 mile. Therefore, you can multiply these together to get 220 yards/min.

Best of luck!

What is the vertex of the parabola in the graph?

Answers

Answer:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).    

mark me brainlest

Answer:

(-3, -4)

Step-by-step explanation:

74386 divided by 874

Answers

Answer:

85.11

Step-by-step explanation:

Answer:

85.1098398169

Step-by-step explanation:

74386/874=85.1098398169

Delilah does 184 jumping jacks in four minutes she does her jumping jacks at a constant rate how many jumping jacks Can Delilah do per minute

Answers

Answer:

Delilah can do 46 jumping jacks per minute.

Step-by-step explanation:

Bill Granger is a parts clerk. He worked a total of 46.25 hours from Monday to Friday this week. If his regular pay is $12.75 per hour, how much overtime pay did Bill earn?

Answers

Answer:

His extra pay would be of $79.69

Step-by-step explanation:

Assuming that the clerk works regular 40 hour per week, then he has worked 6.25 extra (overtime) hours this week. Then his extra pay for overtime work would be:

6.25 times $12.75 = $79.69

Hsbfisnfi downtowns idjwnfiienfnid sidneidnsos dosbdis did fisbcis dns she cjs dis dis did dis fishy for down god a foe f sound foe down d

All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is scaled down in size without changing any of the angles. What is the new height of the triangle when the area is exactly half of the original triangle's area

Answers

Answer:

the new height of the triangle = 2.449

Step-by-step explanation:

Given that:

the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.

Let say the triangle is a triangle IJK

Let the length of the side to be i = 4

Definitely

IJ = JK = IK = i = 4

If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L

Then ;

[tex]JL = \dfrac{1}{2} JK[/tex]

[tex]JL = \dfrac{1}{2} i[/tex]

Let consider triangle IJL

(IL)² = (IJ)² - (JL)²

[tex](IL)^2 = i^2 - \dfrac{i^2}{4}[/tex]

[tex](IL)^2 = \dfrac{3i^2}{4}[/tex]

[tex](IL) =\sqrt{ \dfrac{3i^2}{4}}[/tex]

[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]

Area of triangle IJK can be expressed as:

[tex]Area = \dfrac{1}{2}\times Base \times Height[/tex]

[tex]Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}[/tex]

[tex]Area = \sqrt{3}\dfrac{i^2}{4}[/tex]

where, i = 4

Then:

[tex]Area = \sqrt{3}\dfrac{4^2}{4}[/tex]

[tex]Area = \sqrt{3} \dfrac{16}{4}[/tex]

[tex]Area =4 \sqrt{3}[/tex]

when the area is exactly half of the original triangle's area, the new height is :

[tex]A = \dfrac{1}{2} \times Area[/tex]

[tex]\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}[/tex]

[tex]\dfrac{i^2}{4} = \dfrac{1}{2} \times 4[/tex]

[tex]\dfrac{i^2}{4} =2[/tex]

[tex]i^2 = 8[/tex]

[tex]i= \sqrt{8}[/tex]

[tex]i= \sqrt{4 \times 2}[/tex]

[tex]i= 2 \sqrt{2}[/tex]

Finally, the new height of the new triangle is:

[tex]IL =\sqrt{3} \dfrac{i}{2}[/tex]

[tex]IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}[/tex]

[tex]IL =\sqrt{3 \times 2}[/tex]

[tex]IL =\sqrt{6}[/tex]

IL = 2.449 m

To get ready for a field trip, students and adults were put into groups. For every 8 students in a group, there were 3 adults. In total, in all the groups, there were 48 students. How many adults were also on the field trip?

Answers

16 adults were there

Answer:

18!

Step-by-step explanation:

Divide the number of students (48) by 8 to find the number of groups and get 6 if there are 6 groups of 8 and 3 adults with every 8 students then multiply 6 by 3 and receive an 18!!

Hope this helped! Let me know if you are confused at all!

Solve the equation using the Subtraction Property of Equality: x + 1/2 = 5/2

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{5}{2} - \frac{1}{2} = \frac{4}{2}[/tex]

and 4/2 = 2

Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which of the decimals in the problem should be represented as a negative rate? Which two factors should Ericka multiply to find the total variation in water level?

Answers

Answer:

first one is 2.2mm/year and second is 6.2years and -2.2mm/year

Step-by-step explanation:

plz trust me i just did it

The decimals in the problem should be represented as a negative rate is -2.2mm/year

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river.

Ericka should first one is 2.2mm/year and the second is 6.2years and -2.2mm/year

Thus, the decimals in the problem should be represented as a negative rate is -2.2mm/year

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ6

2 is a solution for

True or False

Answers

Answer:

False

Step-by-step explanation:

The open circle means you should not include the number it is on.

The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.

Answer:

False

Step-by-step explanation:

When there is an open circle, it means that it can't be that exact number. If there is a closed circle, it can be that number. This is an open circle, and means that it is less than 2.

Which absolute value function opens down?
1)y = 2|x- 5|
2)y = [X + 1|-7
3)y = -|X+ 4 |+ 8
4)y = 1/4|X-9|

Answers

Answer:

3) y = - | x + 4| + 8

Step-by-step explanation:

The general form of an absolute value function is

f(x)=a|x-h|+k

It opens up if a> o and opens down if a < 0

From the given functions:

y = - | x + 4| + 8, opens down

see attached for reference

How many pounds are there in 2 and 1/4 tons? (1 ton = 2000 pounds)
2025
4000
4500
4525

Answers

Answer:

4,500

Step-by-step explanation:

Convert 2 1/4 to a decimal

2.25

2,000 x 2.25

= 2.25

Good luck, hope this helped!

2a/b given a=-3/4 and b=1/2

Answers

Answer:

-3

Step-by-step explanation:

2·(-3/4)/(1/2)(-6/4) · (2/1)-12/4-3

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Abf and ebf i think are right

Answer:

I think it's ABD and DBC!

Step-by-step explanation:

I looked up complementary angles and it said "Two angles are called complementary when their measures add to 90 degrees." and it looks like those 2 would be it!

Round the following numbers as indicated: a) To four sig. figs.: 1. 21.860051 = 2. 5.687524 3. 112.511 b) To two sig figs: 1. 79.2588 2. 3.4125 3. 41.86632

Answers

Step-by-step explanation:

21.86

112.5

79.3

3.41

41.9

where should the parentheses go in this equation

1+2·3+4·5=65

Answers

Answer:

((1+2)*3+4)*5

Step-by-step explanation:

[tex]((1+2)*3+4)*5\\\\=((3)*3+4)*5\\\\=(9+4)*5\\\\=13*5\\\\\=65[/tex]

Lisa drove 819 miles 13 hours. At the same rate, how long would it take her to drive 504 miles?

Answers

Answer:

The answer is

8 hours

Step-by-step explanation:

To solve this question we use ratio and proportion

From the question

Lisa drove 819 miles for 13 hours

If for Lisa drove 819 miles for 13 hours

Then for 504 miles she will drive

[tex] \frac{504 \times 13}{819} = \frac{6552}{819} [/tex]

We have the final answer as

8 hours

Hope this helps you

Simplify 2a+14-4a-7+8a​

Answers

Answer: 2a+14-4a-7+8a = 6a+7

If I Helped, Please Mark My Answer As Brainliest, Have A Great Day :D

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