If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]? A. 51
B. 40
C. 31
D. 20
E. 4
Answers
Calculating the value of f(x) for the given interval.
For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];
(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
So option “E” is correct.Related Questions
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What is one quarter added to three eights answer
5. Jason has e cups of sugas. He gave his brothe two+ cups. Jason's brother then gave his sister some. Howmany cups of sugar does Jason have now?I will give brainly
Solve for x: 2x^2+4x-16+=0
what is this answer ?
Answers
Answer:
44x/5
Step-by-step explanation:
Answer: what method are you using to solve this?
Step-by-step explanation:
Which explanation explains whether Brody is correct or not?
A.
Brody is correct.
Estimation: 30.00 – 8.29 is about 22.
$22 + $25 = $47.
Brody needs to save about $47 more.
B.
Brody is not correct.
Estimation: 24.89 – 8.29 is about 17.
$30 – $17 = $13.
Brody needs to save about $13 more.
C.
Brody is not correct.
Estimation: 24.89 + 8.29 is about 33.
$33 – $30 = $3.
Brody needs to save about $3 more.
Answers
A is not right because you're not supposed to add the cost ( $25 ) to the money saved for the expenses. ( it would be $22 since you already minus out the 8.29 cost )
B is also not correct because you do not subtract the cost from another cost. ( 24.89 - 8.29 )
Hope I helped!
Answer:
i think the answer is c hope this helps
Answers
Answer:
8 38/45 inches
Step-by-step explanation:
A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?
Let us represent:
Length of regular size chocolate bar = x
Length of king size chocolate bar = y
A regular size chocolate bar is 5 and 4/9 inches long.
x = 5 4/9 inches
If the king size bar is 3 and 2/5 inches longer,
Hence:
y = x + 3 2/5 inches
The length of the king size bar is calculated as:
5 4/9 inches + 3 2/5 inches
(5 + 3) + ( 4/9 + 2/5)
Lowest common denominator = 45
8 + (20 + 18/45)
8 38/45 inches
Final answer:
The king size chocolate bar is 8 and 26/45 inches long, which is calculated by adding the given lengths of the regular bar and the additional length of the king size bar.
Explanation:
The question asks about the length of a king size chocolate bar given the lengths of a regular size bar and the additional length of the king size bar. To find the length of the king size bar, we need to add the additional length to the length of the regular bar. The regular bar is 5 and 4/9 inches long and the king size bar is 3 and 2/5 inches longer. If we add these lengths together:
5 4/9 + 3 2/5 = 8 and 26/45 inches
So, the length of the king size bar is 8 and 26/45 inches.
This problem involves basic arithmetic with fractions, which is a common concept in Mathematics for Middle School students. Remember that when adding fractions, you need to have the same denominator.
Learn more about Adding Fractions here:
#SPJ3
Answers
Answer:
The size of the buttonhole should be 3 cm.
Step-by-step explanation:
The circumference is given by = where r is the radius of the circle.
Given is -
The circumference is given as = 9.42 cm
We can put this value in the formula and get;
=>
=>
r = 1.5 cm
As given that the hole needs to be the size of the button's diameter.
So, diameter = cm
Therefore, the answer is 3 cm.
Because the circumference is equal to diameter times pi
9.42 divide by 3.14 is 3
Answers
it opens up and the y coordinate of the vertex is a minimum value!
Answers
Answer:
Explanation:
We are given, that in 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars.
We are required to find the national debt in scientific notation. The scientific notation is used to represent either very small number or very large number.
The scientific form of the given number is: