The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval 2 <3 < 4?
18
16
14
13
10
10 9 87
6-5-4-3-2-1
2
7 8 9 10
-10
-14
-16
20
Answers
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function = [tex]\frac{f(4) - f(2)}{4-2}[/tex]
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change = [tex]\frac{4-2}{4-2}[/tex]
= 1
Therefore, average rate of change of the function in the given interval is 1.
Related Questions
Difference between Simple Intrest and Compound Intrest
Answers
Amir pits £3035 into a bank account. The account pays 4% compound interest each year. Work out how much money amir will have in the account after 6 years
Answers
Answer:
[tex]\£3840.2[/tex]
Step-by-step explanation:
Let P denotes principal amount, T denotes time period and R denotes rate of interest.
Amount = [tex]P(1+\frac{R}{100})^T[/tex]
Amir pits £3035 into a bank account. The account pays 4% compound interest each year.
Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]
Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]
Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.
Please answer this quickly
Answers
Answer:
Polynomial with 4 terms
Write an expression equivalent to (6x + 4y) – 2y by combining like terms.
Answers
Answer:
6x + 2y
Step-by-step explanation:
6x + 4y - 2y =
6x + 2y
Hope that helps!
In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.
Answers
Answer: 84.8°
Step-by-step explanation:
a²+b²+c²-2bc(cosA)
cosA = b² + c² - a² / 2bc
That is the formula we will be using.
Then, plug in our numbers.
cosP= 500² + 380² - 600² / 2(500)(380)
cosP= 34400/380000
cosP≈ 0.09052631
cos⁻¹(0.09052631) ≈ 84.81
∠P = 84.8°
Kevin flips a coin and rolls a six-sided number cube. What is the probability of flipping heads OR rolling a 2?
Answers
Step-by-step explanation:
probability of flipping head
1/2
probability of rolling 2
1/6
Is 7 a solution for the equation 3(x + 4)= 2x - (-2x)?
Answers
Step-by-step explanation:
3x+12=2x+2x
3x+12=4x
3x-4x=-12
-x=-12
x=12
Answer:
no, the answer is x = 12
Step-by-step explanation:
3(x + 4)= 2x - (-2x)
3(x + 4)= 2x + 2x
3x + 12 - 12 = 4x - 12
3x - 4x = 4x - 12 - 4x
-x = -12
x = 12
Please show work if you can so I can fully understand the problem thanks
Answers
Answer:
area = 1539√3 in²
Step-by-step explanation:
three hexagons and one triangle:
each of the three hexagons are composed of 6 equilateral triangles just like the center triangle.
So you have 19 equilateral triangles with each side being 18 inches long.
The height (h) of a triangle will be:
h² = 18² - 9² = 324 - 81 = 243
h = √243
h = 9√3
area of one triangle = 1/2bh = (1/2)(18)(9√3) = 81√3
81√3(19 triangles) = 1539√3 in²
Find the slope of the line that passes through the two points (7, -5) and (1, -13). (Don't forget to simplify!)
I don't want no links just the answer if u don't have the answer don't give me a link
Answers
Answer:
The slope would be 4/3 or 1 1/3.
Step-by-step explanation:
When you put the coordinates in the point-slope formula, you will get -5 - (-13) over 7 - 1. The answer becomes 8/6 but if simplified, it becomes 4/3 or 1 1/3 as a mixed fraction.
Explain the difference in meaning between 8+6 divided by 2 and 8 divided by 6 divided by 2
Answers
Answer:
In first case it is (8+6) whole divided by 2 that is 8/2+6/2 where u will get the answer 7.
in next case it is (8/6) then divided by 2
which will be 8/6*1/2.
(while converting from division to multiplication remember to take the reciprocal of the number after division sign in this 2 will become 1/2)
so and will be 8/12. 2/3 will be the answer....
What is the end behavior of the function f(x)=2/3x^3? As x→[infinity], f(x)→−[infinity] As x→−[infinity], f(x)→−[infinity] As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→[infinity] As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity] As x→[infinity], f(x)→−[infinity] As x→−[infinity], f(x)→[infinity]
Answers
Answer:
As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]
Step-by-step explanation:
Since f(x) =2x³/3,
Let x → + ∞
Substituting x = + ∞ into the equation, we have
f(+∞) = 2(+∞)³/3
= + 2∞³/3
= + ∞ (since + 2∞³/3 → +∞ (a larger number))
So as x → + ∞, f(x) → + ∞
Let x → - ∞
Substituting x = - ∞ into the equation, we have
f(-∞) = 2(-∞)³/3
= - 2∞³/3
= - ∞ (since - 2∞³/3 → -∞ (a larger number))
So as x → -∞, f(x) → -∞
So, the answer is As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]
What is the y-intercept of this line?
Answers
Answer:
(0, -3)
Step-by-step explanation:
because at that point is where the line crosses the y axis.
lmk if that works for you !!
Deux pays , le Pays Chaud et le Pays Froid, mènent des enquêtes sur les dépenses de consommation. Au Pays Chaud , les consommateurs achètent 60 bouteilles d'eau, 16 kilos de pain et 8 litres d'huile d'olive par année. Au Pays Froid, les consommateurs n'achètent aucune bouteille d'eau (ils sucent des glaçons qui ne leur coûtent rien), mais ils achètent 84 litres d'huile d'olive et 29 kilos de pain par année. Les prix dans les deux pays sont les mêmes, et mesurés avec la même monnaie, le dollar. Dans l'année de base, l'eau embouteillée coûtait 0,95 $ la bouteille, le pain,4,80$ le kilo, et l'huile d'olive,10,35 $ le litre. Dans l'année courante, l'eau embouteillée coûte 1,95 $ la bouteille, le pain,6,30 $ le kilo, et l'huile d'olive, 11,20 $ le litre. Quel est l'IPC au Pays Chaud dans l'année courante?
Answers
HELP FAST THIS 6TH GRADE MATH!
Answers
Answer:
Fraction = 1/10
Decimal = 0.1
Step-by-step explanation:
If this is 6th grade, why did you put it under high school?(Just curious)
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answers
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18
Please help me, i need this done ASAP!!!
Answers
Answer:
100 inches
Step-by-step explanation:
Given that the mans height is 71 inches. Height of lamp is 108 inches and distance between them is 52 inches. For Figure refer to attachment . The given figure both triangles are similar by AA similarity Condition. So we know that the corresponding parts of similar triangles are proportional .Let Distance between man a d its shadow be x .
Using this concept ,
=> AM / PN = QA / QP
=> 108 / 71 = 52 + x / x
=> 1.52 x = 52 + x
=> 1.52 x - x = 52
=> 0.52 x = 52
=> x = 52/0.52
=> x = 100 in .
I need help with this it’s hard for me
Answers
Answer:
12.3 - 7.9x
hope it helps XD X) :)
Please help
If 100% = Rs. 120, then
A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84
Answers
Answer:
Simple: C. 70% = Rs. 84
Step-by-step explanation:
cause it can't be 120% if Rs.120 is the 100%
Determine the area of the following circle
31.4 sq.in.
78.5 sq.in.
15.7 sq.in.
314 sq.in
Answers
Answer:
31.6 sq.in i got by using 2pier formula
Step-by-step explanation:
area of a circle = πr²
where π = pi = 3.14
r = radius = 5in
area= 3.14 (5²)
= 3.14 x25
= 78.5 sq.in
7. A frying pan can hold 2 dozen wantons at a time.
It takes 5 minutes to fry 2 dozen wantons. How
long will it take to fry 40 dozens wantons
Answers
Answer:
100 minutes
Step-by-step explanation:
This is because it takes 5 minutes to fry 24 wantons, so we can write 5/24. Now we need to find out how long it takes to fry 40 dozen wantons, or 480 wantons. We can rewrite this as x/480. Since the time should be proportional, we get the following:
5/24 = x/480
We can now cross multiply. 24x=5x480. Therefore, 24x = 2400. If we divided each side by 24, we would get 100. Therefore, it takes 100 minutes to fry 40 dozen wantons, or about 1 2/3 hours.
Answer:
100 minutes (1 hour & 40 minutes).
Step-by-step explanation:
5 minutes = 2 dozen, which means it takes 2.5 minutes to cook 1 dozen.
2.5 minutes x 40 dozen = 100 minutes...
Please help me its very urgent!
Answers
Answer:
there are no solutions
Step-by-step explanation:
PLease help asap - 20 points
Answers
Answer:
this is your answer of your question look it once
Kim has 12 ounces of water. She pours some waer into a bottle that holds exactly 1 cup. How many ounces of water are left over after him fills the bottle.
Answers
Answer:
4 ounces
Step-by-step explanation:
the measurement of water and the bottle are in different units. This, they have to be converted to the same units
1 cup = 8 ounces
if the bottle holds one cup, it would hold 8 ounces
ounces of water left over = 12 - 8 = 4 ounces
Please answer I’ll make brainliest
Answers
Answer:
1 single foot
you just subtract lol
which is equivalent to the expression below?
8 (x + 4x)
A. -24x
B. 32x
C. 40x
D. -9x
Answers
=8x+32x
=40x
40x is ur answer
What is the slope of this graph?
Answers
Answer:
m = 4
Step-by-step explanation:
Points on the graph: ( -3, -3) and ( -2, 1)
Slope:
m=(y2-y1)/(x2-x1)
m=(1+3)/(-2+3)
m=4/1
m = 4
Help
Find the measure of angle x.
Skip
142°
O
X =
[?]
X
Enter
Answers
EXPLANATION
There are 2 angles.
The angles must add up to 180.
So taking 180 and subtracting the already known angle, of 142.
Will get us with 38.
We can check the work by doing 38 + 142.
Hope this helps! have a gud day
5. Jovi solved the following system of equations by
substitution. His partner Giselle checked his work
and said she found an error. What step did Giselle
find the error?
Answers
Step four should be y=1, because 12/12=1, not -1
Corey scored 85, 89, 87, 92, and 98 on his math tests. What is the mean of Corey’s test scores
Answers
Answer:
85+89+87+92+98
451/5
90.2
The mean of Corey’s test scores is 90.2
What is Arithmetic Mean?The simplest method to determine the average for the given collection of integers is to use the arithmetic mean or mean. It is divided into two categories: weighted arithmetic mean and plain arithmetic mean.
The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean.
We have,
Corey scored 85, 89, 87, 92, and 98 on his math tests.
So, arithmetic Mean
= (Sum of scores)/ Total number of score
= (85 + 89 + 87 + 92+ 98)/5
= 90.2
Thus, the Mean is 90.2
Learn more about Arithmetic Mean here:
https://brainly.com/question/30891252
#SPJ3
Rewrite and simplify. 64-3/4
Answers
Answer:
64 - .75
64 - .75 = 63.25
have a good day/night
Answer: 63.25 (Decimal) or 63 1/4 (fraction)
Step-by-step explanation: 64 - 3/4. 3/4 is 0.75 in decimal form, so subtracting it would be 63.25 which would be 63 1/4 in fraction form. I don’t think you can simplify it since 1/4 is already at it’s smallest form.