Consider the function graphed below.
What is the average rate of change of the function over the interval [1, 3] ?
A.36
B. 48
C.72
D.96
Answers
Answer:
A. 96
Step-by-step explanation:
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
What is the average rate of change?the rate at which one variable of a function changes in relationship to another variable is called average rate of change.
Here we can see in graph that
when x =1 y=12
and when x= 3 ,y=108
Now we know that rate of change is same as slope of straight line passing through that points
So average rate of change can be calculated as
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{108-12}{3-1}\\\\[/tex]
[tex]\frac{96}{2}[/tex]
=48
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
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Related Questions
Is this table linear or not?
Answers
What is the area of the shaded sector of the circle?
O 201 units?
O 40tt units?
O 180 units?
O 400 units?
Answers
Answer: 180 pie units^2
Step-by-step explanation:
Got it right on edg
The area of the shaded sector subtending 162° at the center is 180π units².
The option (3) is the correct answer.
What is the sector of a circle?A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
In the diagram, we are given a circle with a shaded sector:
The radius of the circle (r) = 20 units
The angle subtended by the shaded sector = 162°
To find the area of the shaded sector, we can use the formula:
= [tex]\frac12 \theta r^2[/tex]
Where θ is the angle subtended in radians and r is the radius.
162° = 162° × (π/180°) rad
= 0.9 π rad
area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²
Hence, the area of the shaded sector subtending 162° at the center is 180π units².
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Using two or more complete sentences, describe and correct the error in the solution.
Solve the system of equations.
3x - 2y = 2
9x - 6y = 6
3x - 2y = 2 → 9x - 2y = 6
9x - 6y = 6 → 9x - 6y = 6
-8y = 12
y = 1.5
3x - 2y = 2 → 3x - 2(1.5) = 6
3x - 3 = 6
3x = 9
x = 3
Answers
Answer:
In the very first step, when they multiply both sides by 3 the -2y should become -6y but instead it stays as -2y. The correct solution would be:
9x - 6y =6
9x - 6y = 6
0 = 0
This means there are infinite solutions.
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Answers
Answer:
Step-by-step explanation:
Hindi ko alm hehe
They boost the economy
Answers
Answer:
I think the question is incorrect
Step-by-step explanation:
they boost the economy why is this in mathematics
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what fraction is 15 minutes of 1 hour
Answers
Answer:
1/4
Step-by-step explanation:
Convert 1 hour to minutes
1 hour = 60 minutes
Then you can find the fraction
15/60
simplifies to 1/4
15 minutes is 1/4 of 60 minutes/1 hour
How can you use standard deviations to compare the spread of each data set?
Sample A: 2,5,1,2,3,3,4,3
Sample b: 10,5,1,2,3,7,4,3
Answers
Calculate the standard deviation for each data set:
Sample A = 1.246
Sample B = 2.924
The smaller the deviation the closer the data set is, the larger the deviation the more widespread the data set is.
Sample B has a larger deviation so the spread of the data is wider.
write a real world problem for the following inequality X < 17 brainly
Answers
Answer:
i want to drive alone but i am 15 and need to be 17
Step-by-step explanation:
A $7.00 item is marked down by 10%.
What is the new cost of the item?
Round to two decimals if needed.
$
Answers
Answer:
6.3
Step-by-step explanation:
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
Answers
A & D are known as irregular polygons
Tims piggy bank contains nickels and quarters worth $6.70. He has 62 coins in all. How many of each coin does Tim have?
Answers
Answer:
well you see it really
Step-by-step explanation:
Please help I don't get this
Answers
Answer:
18n+9
Step-by-step explanation:
9(2n+1)
multiply the 9 with the numbers in the parenthesis18n+9
Answer part C. I want step by step on this problem.
Answers
Answer:
[tex]Rate = 58007956.5217[/tex]
Step-by-step explanation:
Solving (c): The rate of change:
In this concept, the formula to use is:
[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]
Where
[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004
[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026
So, we have:
[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]
[tex]Rate = \frac{1334183000}{23}[/tex]
[tex]Rate = 58007956.5217[/tex]
Understanding Fractions as Division - Item 30582 A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar? 7 Each jar has 12 cup of blueberries. Each jar has 1 of 7 cups of blueberrie Each jar has 12 cups of blueberries. Each jar has 1 cups of blueberries.
Answers
Answer:
C. Each jar has 12/7 cups of blueberries.Step-by-step explanation:
12 cups of blueberries ⇒ 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 7 / 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 1 jar of jamThe answer options (restored as original):
A. Each jar has 7/12 cup of blueberries. ⇒ incorrectB. Each jar has 1/12 of 7 cups of blueberries. ⇒ incorrectC. Each jar has 12/7 cups of blueberries. ⇒ correctD. Each jar has 1 5/12 cups of blueberries. ⇒ incorrect
Which statements are true??
Answers
I need to multiply 10,170 by 0.775
Answers
Answer:
7881.75
Step-by-step explanation:
10,170x0.775
Answer:
7881.75
Step-by-step explanation:
5. The value of an investement increased by 10%. The original amount of the
investment was $40.00. What is the current value of the investment?
Show your work
Please help me on this I need help
Answers
Answer:I Dont know about this one soryy
Step-by-step explanation:
What is MA and ABC ifMB = 35° and MC equals 92°
Answers
Explanation: the angles within a triangle can only make up 180° total. No other number. Since there is only three sides, ABC, I assumed it was a triangle. I added MB and MC to get 127. Subtracted 127 from 180, and got 53.
Can someone please answer this question
Giving brainleist!
Answers
Answer:
a) 9000
b) 40
c) 630
d) 125
Convert 20 miles to km
Answers
Answer:
32.1869
Step-by-step explanation:
You can use an online converter!
You can look up Miles to KM
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Answers
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Answer:
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Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15
Answers
Answer:
2
Step-by-step explanation:
Mean = sum of data/sample size
Sum of data = 22 + 18 + 2y+1 + 10 + 20
Sample size = 5
Mean = 15
Substitute
15 = 22 + 18 + 2y+1 + 10 + 20/5
15*5 = 22 + 18 + 2y+1 + 10 + 20
75 = 70+2y+1
2y = 75-71
2y = 4
y = 4/2
y = 2
Hence the value of y is 2
need help please. urgent!!
Answers
Answer:
12-3y-2x+x+2x = x-3y+12
3x+2y-2x+y+12 = x+3y+12
4y+3y+3x-6y-10-2 = 3x+y-12
x+3y+2x-3x+7+5 = 3y+12
Step-by-step explanation:
help give thanks stars
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What is the value of x?
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Answer:x=31
not sure
Step-by-step explanation:
sofia and two of her friends are going to share one-fourth of a pizza. How much will each person get? I need some help
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Answer:
83/100
Step-by-step explanation:
PLESSS PLESS PLESSSSSSS I BEG OF YOU TEACH ME HOW TO DO THISSSS I BEGG I WILL GIVE BRAINYLIST TO ANYONE WHO ANSWERS PLESS I CRY FOR YOU HELP AND BEGGG TOO
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Answer:
x=6.54
Step-by-step explanation:
Start off by cross multiplying what you are given ;)
6*109=654
Since you are solving for the missing variable x divide 654/100
The final answer will be 6.54
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Answer:
try to do this formula
XYZ
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Step-by-step explanation:
On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.