the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answers
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
Related Questions
Jin adds 1 gallon of a water-and-bleach mixture that is 4% bleach to 2 gallons of a
water-and-bleach mixture that is 10% bleach. What percent of the final mixture is bleach?
Answers
Answer:
0.08%
(might be wrong)
Step by step explanation:
0.04•1+0.10•2=3•x
0.04+0.2=3x
0.24=3x
x=0.08
Not sure if this is right
Answer: 8
Step-by-step explanation:
What is the value of name and tell the value of the underline digit. The number is 25,678 the underline digit is 5.
Answers
Find the value of x
A.9
B.18
C.45
D.90
Answers
9514 1404 393
Answer:
B. 18
Step-by-step explanation:
The vertical angles are supplementary to the same angle.
4x +(2y+x) = 180
(2y-x) +(2y+x) = 180
We can solve the second equation first to find the value of y:
4y = 180 . . . . simplified
2y = 90 . . . . .divide by 2
Substituting into the first equation, we have ...
5x +2y = 180
5x +90 = 180
5x = 90
x = 18 . . . matches choice B
HELP URGENT !!!!!!!!!!!
Answers
ANSWER PLSS!! What type of number is 8/2
A) whole number
B) integer
C) rational
D) irrational
Answers
Answer:
A) whole number
B) integer
C) rational
Step-by-step explanation:
8/2 simplifies to 4
4 is a whole number
a whole number is an integer
an integer is rational
it is not irrational since it can be written as a fraction
How do you Graph: -3x – 2y = -8
Answers
Answer:
I hope this helps!
Answer:
y = -2/3x +4 --> y = mx+b form
Step-by-step explanation:
-3x-2y = -8 --> add 3x to both side
-2y = 3x-8 --> divide by -2 on both side
y = -2/3x +4 --> y = mx+b form
the y intercept is 4 and the slope is -2/3, down 2, right 3.
therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.
What distance will a car traveling at a speed of 15 m/s cover in 300 s?
Answers
Distance formula: d = st
d = 15 * 300
d = 4,500m
So they will travel 4,500m! Have a nice day and mark brainliest if possible :)
[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]
[tex]4500 \: m[/tex]
Step-by-step explanation:
[tex]d = s \times t[/tex]
[tex]s = 15[/tex]
[tex]t = 300[/tex]
[tex]d = 15 \times 300[/tex]
[tex]d = 4500[/tex]
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if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Answers
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answers
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer
Solve and show the steps to the picture attached
Answers
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answers
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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Numbers with zeros
A cleaning service orders 7 large bottles and 5 small bottles of a cleaning product.
Each large bottle has 122 ounces. Each small bottle has 68 ounces.
Which is the best estimate of the total amount of cleaning product the cleaning service orders?
A 800 ounces
w
B. 1.200 ounces
C. 1,600 ounces
o
D. 2.000 ounces
Answers
HELP PLEASE! I WILL GIVE BRAINILEST!
The graph of the function B is shown below. Find B(1).
O-1
01
02
Answers
Answer:
id say -1 though not enough details
Step-by-step explanation:
Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn
Answers
Answer:
$825
Step-by-step explanation:
Given that :
Weekly earning = $600 plus 3% of sales over $6500
If weekly sales = $14000
How much will Robin earn
Robin's earning will be:
Flat weekly pay + 3% of amount over 6500
$600 + 3%(weekly sales - 6500)
$600 + 0.03(14000 - 6500)
$600 + 0.03(7500)
$600 + $225
= $825
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answers
Answer:
x = 11
Step-by-step explanation:
Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.
a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31
Answers
solve for x: x²/x-3=x+2/2x-5
Answers
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
Factor 6(×)^3+43(×)^2+79(×)+12
Answers
insert 6 A . M's between 15 and -13
Answers
Answer:
15, 11, 7, 3, -1, -5, -9, -13
Step-by-step explanation:
Inserting Arithmetic Means (AM's)
Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].
To place n numbers, we need to open n+1 spaces, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1).
We need to insert 6 AM's between 15 and -13. Each AM will be inserted at a space of (-13-15)(6+1)=-28/7=-4.
Thus the sequence is formed subtracting 4:
15
15-4=11
11-4=7
7-4=3
3-4=-1
-1-4=-5
-5-4=-9
-9-4=-13
The sequence is (numbers in bold are the AM's):
15, 11, 7, 3, -1, -5, -9, -13
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answers
Answer:
Given that;
There are three high schools, each having four sections of every 24 students
the 2 types of instructions are Standard curriculum & computer based curriculum
a)
this study is experimental
this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards
b)
-important factors are; high schools, instruction type and scores
- Highschool has 2 levels: level one there are three high schools, level 2 each having four sections of every 24 students
-instruction type: has one level which is divided into two namely; standard base and computer based
Scores: doesn't have levels
c)
there are 3 schools and 4 sections so the factor high school has between subjects components
factor instruction type also has between subjects because there are two different types available
there are 24 students in each section which are within subjects
d)
the score on the test is the dependent measures
e)
“STUDENT” in each section is he basic experiment unit of study
Three workers arrive at work 15 minutes late, at a cost of $11 hour.
Answers
Answer:
They earned 8.25
Step-by-step explanation:
If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.
Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false
Answers
Answer: B
Step-by-step explanation:
What is the climate like in summer of the Middle Atlantic states?
cool
temperate
hot
cold
Answers
Answer:
The passage says "Summers are hot and winters are cold in the Middle Atlantic states." so the answer is hot
Please help me ..................
Answers
a)E
b)D
c)A
2)Between 3 and 4
decimal estimate is 3.6
3)Between -12 and -13
Decimal estimate is -12.25
4)5.48 or 5.5inches
5)32 feet
6)B
7)C
The answers are shown below:
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.
Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.
a) point E represent √47 ( 6.855)b) point D represent √27 ( 5.19)
c) point A represent √11 ( 3.316)
√13(3.6050 lies between 3 and 4.-√150 (12.247) lies between (-12 and -13)side = √area= √30 = 5.477 inch√90=9.48 ( option b)The incorrect statement is √12 lies between 4 and 5Learn more about square root here:
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Solve the following step by step
Answers
Answer:
12
by-step explanation:
Take away 2x from both sides to get 7x + 21 = 13
Take away 21 from both sides to get 7x = 8
Now divide both sides by 7.
X must be 1 1/7
Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
Answers
Answer:
729 is a perfect square
Step-by-step explanation:
because 27 * 27 = 729
Is 17/5 + square root of 64 greater than 8 + pi?
Answers
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h. b How many minutes after the two cars start traveling will one car lap the other for the second time?
Answers
Answer:
200 minutes
Step-by-step explanation:
So we know that the speed is 92 km/h for the first car and 68 km/h for the second car. We do not know the time, but we do know that we need to convert it into minutes. The time for both cars would be x/60. Now we multiply speed by time and get distance. The first car would be 92 x/60 and the second would be 68 x/60, now we cross multiply and make an equation. 92x/60 - 68x/60 = 80, 24x = 80, x=200 minutes.
Date:10/16/20
1. The largest river in the world is the Nile River. It is 4,132 miles long. The
longest river in the United States is the Missouri River. It is 2,540 miles long.
Which is the best estimate of the difference in the lengths of the Nile and
the Missouri rivers?
a. 1,000 miles
b. 1,600 miles
c. 2,000 miles
d. 6,600 miles
2. Each year, the NYC Humane Society works to raise as much money as
possible for the animal shelters. Last month, they raised $14,392 from donations
and $456,892 from pet adoptions. About how much money did they raise
altogether?
Answers
the answer to 1 is d and the answer to 2 is 471,284. Please review this topic when you get time.hope this helps
Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−16x+116.
Yes, because all the solutions of y=−16x+116 need to be integer values for x and y.
Yes, because all of the points that are listed are on the line y=−16x+116.
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
No, because the point (17,−1) is not on the line that represents the equation y=−16x+116.
Answers
Answer:
No, because the set of all solutions of y=−16x+116 is represented by the line of the equation.
Step-by-step explanation: