Find the average rate of change of f on the interval [10, 60]. (round your answer to the nearest integer.)
Answers
The average rate of change for the function is 6 on the interval [10, 60].
What is Lagrange mean value theorem?Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)
According to the attached function graph,
At point x = 10,
F(10) = 400
At point x = 60,
F(60) = 700
Since the formula for the average rate of change of the function between x = a and x = b is,
The average rate of change = {F(b) -F(a)}/(b-a)
Here a = 10, b = 60 and F(10) = 400, F(60) = 700
Substitute the values in the formula,
So the average rate of change = (700 - 400)/(60 - 10)
The average rate of change = 300/50.
The average rate of change = 6
Hence, the average rate of change for the function is 6 on the interval [10, 60].
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Your question is incomplete, probably the missing graph is:
![Find The Average Rate Of Change Of F On The Interval [10, 60]. (round Your Answer To The Nearest Integer.)](https://i5t5.c14.e2-1.dev/c-qa-images/answers/attachments/JS7IYyzq3fr5H97vBuKpu9AtUHOCr5YH.png)
To find the average rate of change of f on the interval [10, 60], calculate the difference between the values of f at these two points and divide it by the difference between the two points.
Explanation:To find the average rate of change of f on the interval [10, 60], we need to calculate the difference between the values of f at these two points and divide it by the difference between the two points. Let's assume that f(10) = a and f(60) = b. The average rate of change of f on the interval [10, 60] is then given by (b-a)/(60-10). To round the answer to the nearest integer, we can use the nearest neighbor rounding method.
Related Questions
Andrew is planning a tailgate party before the big football game. He has budgeted a maximum of $60 for hamburgers and hot dogs. Hamburgers cost $3 per pound, and hot dogs cost $2 per pound. Write an inequality to describe the possible number of pounds of hamburgers and of hot dogs he can purchase.
Answers
The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.
We have,
Let x be the number of pounds of hamburgers that Andrew purchases, and let y be the number of pounds of hot dogs that he purchases.
The cost of x pounds of hamburgers is 3x dollars, and the cost of y pounds of hot dogs is 2y dollars.
According to the problem, Andrew has budgeted a maximum of $60 for hamburgers and hot dogs.
Therefore, we can write the following inequality:
3x + 2y ≤ 60
This inequality describes the possible combinations of x and y that Andrew can purchase, such that the total cost of hamburgers and hot dogs does not exceed his budget of $60.
Thus,
The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.
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Each U.S. penny weighs 2.5 grams. How many pennies,x is how many pennies it an equation, are on scale if their total weight is 37.5 grams:A. 2.5+x=37.5 x=12,B. 2.5x=37.5 x=15, C. x-2.5=37.5 x=40,D. 2.5x=37.5 x=18???? please answer quick.
Answers
then divide each side by 2.5
x = 15
letter B is your answer
Solve your formula from problem 12 for m. Then find the taxi driver’s hourly rate of his pickup rate is $2 and he charges $19.50 for a 7 - mile trip
Answers
Answer: Cost per mile m = $4.78.
Step-by-step explanation:
Since we have given that
Pick up rate = $2
Charges for a 7 mile trip = $19.50
Charges for a mile trip would be
[tex]\dfrac{19.50}{7}\\\\=2.78[/tex]
So, amount of taxi's drivers is given by
[tex]\$2.78+\$2\\\\=\$4.78[/tex]
Hence, cost per mile m = $4.78.
what is length of DE
Answers
What is the expression for the calculation double 5 and then multiply by 3?
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will be your answer for the expression
hope this helps
i need help to evaluate this p + (-q) - 2 where p = -3 and q =5
Answers
= -3 + (-5) - 2
= -3 - 5 - 2
= -10
hope it helps
A sample of n = 8 scores has ss = 50. if these same scores were a population, then the ss value for the population would be ____.
Answers
Answer:
5.69999
Step-by-step explanation:
What is the fourth term in the arithmetic sequence 13,10,7
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The fourth term in the arithmetic sequence 13, 10, 7 is 4.
Explanation:The arithmetic sequence 13, 10, 7 has a common difference of -3. To find the fourth term, we can start with the first term and keep subtracting the common difference. So, 13 - 3 = 10, 10 - 3 = 7, and 7 - 3 = 4. Therefore, the fourth term in the arithmetic sequence 13, 10, 7 is 4.
A piece of land is to be fenced and subdivided as shown to that each rectangle has the same dimensions. Express the total amount of fencing needed as an algebraic expression in x. Find the total amount of fencing.
Answers
In the plane, each rectangle has 2x + 7 horizontal side.
The fence covers 3 horizontal sides => 3 (2x + 7)
In the plane, the vertical sideis x. And the fence covers 4 vertical sides => 4x
Then the total amount of fecncin is: 3(2x+7) + 4x = 6x + 21 + 4x = 10x + 21
Answer: 10x + 21
What is the range of f(x) = 4x?
Answers
answer is D. last one
Answer:
D. All positive real numbers
Step-by-step explanation:
The range of a function f(x) are all the possibles values that f(x) can take. So in the function of the question it doesn't matter what value takes x, f(x) is always going to be a positive number. For example:
f(0)=[tex]4^{0}[/tex]=1
f(-1)=[tex]4^{-1}[/tex]=1/4
f(2)=[tex]4^{2}[/tex]=16
Then, the range of f(x) is all positive real numbers.
Write forty and eight tenths as a decimal
Answers
Forty and eight tenths as a decimal would be:
40.8
The 8 is in the "tens" spot on the right side of the decimal, and 40 is on the left side.
I hope this helps you!
Question: Write forty and eight tenths as a decimal
Looking for our answer
[tex]forty = 40, right? \\ eight = 8,right? \\ decimal = . , right? [/tex]
So, thus our answer would most likely be: [tex]40.8[/tex]
Remember, to highlight your key information and your answer will come to you, it can come in handy in the future :)
Good luck on your assignment and enjoy your day!
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how can you use absolute value to represent a negative number in a real world situation
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Hope this helps you!
The length of a rectangle is 18 cm less than five times it's width. It's area is 35 cm². Find the dimensions of the rectangle.
Answers
evaluate the expression 4(2x + 3) + 2(x + 1)-7
Answers
8x + 12 + 2x + 2 - 7
10x + 7
10x = -7
10x/10 = -7/10
x = -7/10
hope this helps
Juan's baseball card collection was worth 800$. Over the last 5 years,thw collection decreased $300 in value. What integer representa the average decrease in value each year.
Answers
Final answer:
The average yearly decrease in the value of Juan's baseball card collection, which decreased by $300 over 5 years, is $60. This integer represents the yearly reduction in value.
Explanation:
Juan's baseball card collection was worth $800. Over the last 5 years, the collection decreased by $300 in value. To find the average decrease in value each year, we can use the formula: Average decrease per year = Total decrease / Number of years.
Given that the total decrease is $300 and the time period is 5 years, the calculation would be:
Average decrease per year = $300 / 5 = $60.
Therefore, the integer that represents the average decrease in value each year for Juan's baseball card collection is $60.
What number is 2 hundred 15 tens and 6 one
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_________________________________
(215)*10 + 6*(1) = 2150 + 6 = 2156 .
______________________________________________
The sum of three consecutive integers is −261−261. Find the three integers.
Answers
So x+x+1+x+2=-261
Meaning that 3x+3=-261
3x=-264
X=-88
So the three number are -88,-89-90
The cost of a new house can be represented by the regression equation c = 120f + 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000. How many square feet does it have?
Answers
Answer: 2900 Square Feet
Step-by-step explanation: i took the test
In the parabola y = (x + 1)2 + 2, what is the vertex?
Answers
as general form is y=a(x-p)^2+q and vertex is (p,q)
so p=-1 ands q=2 so vertex is (-1,2)
The vertex form of a quadratic equation is expressed as y = a(x - h)^2 + k. The vertex of the parabola is (-1, 2)
Vertex form of an equationThe vertex form of a quadratic equation is expressed as:
y = a(x - h)^2 + k
where (h, k) is the vertex of the equation
Given the equation of the parabola as y = (x - 1)^2 + 2, On comparing;
h = -1
k =2
Hence the vertex of the parabola is (-1, 2)
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URGENT
The depth of water in the port at hinchinbrook is given by: d(t)= 2.6 sin (Pi over 6 t) + 13.1, where d is in meters and t is the number of hours since high tide.
Use the model to determine how many hours are there between high tides.
If high tide was at midnight, draw a graph to determine during which hours should it be safe for the boats to be in the port and between which hours they would have to stay away from the port. Justify answers mathematically
Answers
Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.
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a 26 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 2 in more than three times the length of the first piece find the links of the pieces
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What is the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75 percent? $86.25 $190.00 $201.25 $316.25
Answers
A percentage is a way to describe a part of a whole. The retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75% is $201.25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the wholesale price of the couch at a furniture store is $115. Now, as the retail price is marked up by 75%, therefore, the new price of the couch can be written as,
The new price of the couch = 175% of the wholesale price
= 1.75 × $115
= $201.25
Hence, the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75% is $201.25.
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Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether
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1 penny has a mass of 4 grams and is 1.55 millimeters thick. How much mass will a stack of 20 pennies tall have?
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To find the mass of a stack of 20 pennies, multiply the mass of a single penny by 20.
Mass of a single penny: A single penny weighs around 3 grams on average.
Calculate the total mass: Multiply the mass of a single penny by the number of pennies in the stack (4 grams/penny * 20 pennies).Answer: A stack of 20 pennies will have a mass of 80 grams.897100 rounded to the nearest ten thousand/5756492/ec680fa8?utm_source=registration
Answers
hope this helps
Jonathan can jog 3 2/5 miles in 7/8 hour.Find his average speed in miles per hour
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Find the domain of each function. (enter your answers using interval notation.) (a) f(x) = 2 4 + ex
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Domain (-co, co) Range (24, co)
Which of the various ways of orienting the definitional triangle must be used to resolve n⃗ into components in the tilted coordinate system shown? (in the figures, the hypotenuse is blue (long dashes), the side adjacent to θ is red (short dashes), and the side opposite is yellow (solid).)?
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Maria wrote the equation of a line that has a slope of 4/3and passes through point (3, 5). Which statement is true?
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Answer:
B
Step-by-step explanation:
The slope intercept equation is [tex]y=\frac{4}{3}x+1[/tex] is true statement. Option C is correct.
From the given information the slope of the line is 4/3 and it is passing through point (3, 5).
Now, determine the equation of line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
To find the equation, first find the y intercept by considering the point values (3, 5).
[tex]5 = \frac{4}{3}+b[/tex]
[tex]5=4+b[/tex]
[tex]b=1[/tex]
Now plug in the values of slope and y intercept in slope intercept form:
[tex]y=\frac{4}{3}x+1[/tex]
Hence, Option C is correct, he equation of the line is [tex]y=\frac{4}{3}x+1.[/tex]
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