What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]
Answers
The average rate of change of f(x) over the interval [-1, 1] is 5.
To find the average rate of change of f(x) over the interval [-1, 1], we use the formula:
[tex]\[ \text{Average Rate of Change} = \frac{\text{Change in } f(x)}{\text{Change in } x} \][/tex]
First, we find the change in f(x) over the interval [-1, 1]. The function values at x = -1 and x = 1 are f(-1) = -5 and f(1) = 5 respectively. So, the change in f(x) is 5 - (-5) = 10.
Next, we find the change in x over the same interval. The interval [-1, 1] has a width of 1 - (-1) = 2.
Finally, we divide the change in f(x) by the change in x to get the average rate of change:
[tex]\[ \text{Average Rate of Change} = \frac{10}{2} = 5 \][/tex]
So, the average rate of change of f(x) over the interval [-1, 1] is 5.
![What Is The Average Rate Of Change Of F(x), Represented By The Graph, Over The Interval [-1, 1]](https://i5t5.c14.e2-1.dev/c-qa-images/answers/attachments/HIi8BdJcQbZbaG2hx32E1uxdxN6czMol.jpeg)
Related Questions
Whick is the shorter distance 9/10 or 10/9
Answers
hope this helps you
two cassettes and three CDs cost $175 while four cassettes and one cd cost $125. Given that one cassette costs 5x and one cd costs 5y , write two equations in x and y to represent the information.
Answers
[tex]2*5x+3*5y=175\rightarrow 10x+15y=175[/tex]
The second equation is
[tex]4*5x+5y=125\rightarrow 20x+5y=125[/tex]
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?
Answers
.
1 cubic yard = 764.555 liters
.
25 cubic yards = 19113.9 liters
how do you solve ky-bf=fy/m?
Answers
Let's try solving for y since you have two of them.
ky - bf = fy/m
kym - bfm = fy --> [ multiply by m ]
kym - fy = bfm --> [ subtract fy on both sides ]
y(km-f) = bfm ---> [ factor out a y ]
y = bfm/(km-f) ---> [ divide by km-f on both sides ]
Final answer:
To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.
Explanation:
To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:
Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.
Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.
Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.
So, the solution is y = (fy/m + kf)/k.
What are composite numbers in 50?
Answers
by numbers other than 1 or itself. So in this case the composite factors that make up 50 are: 25 and 10
How do you say happy in spanish?
Answers
Answer:
There are a few ways of saying happy in Spanish such as:
-Feliz
-Alegre
-Contento
Any of the three opcións are help
What is 1/50 as a percent and decimal?
Answers
1/50 converted to decimal would be 0.02. I got 0.02 by dividing 1 and 50.
The fraction 1/50 is equivalent to 0.02 as a decimal.
To convert 1/50 to a percent, we multiply the fraction by 100:
= 1/50 x 100
= 2%
Therefore, 1/50 is equivalent to 2% as a percent.
To convert 1/50 to a decimal, we divide the numerator (1) by the denominator (50):
= 1 ÷ 50
= 0.02
Therefore, 1/50 is equivalent to 0.02 as a decimal.
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What is the value of the x-coordinate of the vertex of the function shown below?
f(x)=(x+4)(x-2)
...?
Answers
to find the vertex of a quadratic function, this is the main formula:
for f(x) = ax² + bx + c, and if M(ao, bo) the vertex, so
ao= - b/2a, and bo = 4ac - b² / 4a
so the vertex of f(x)= x² +2x -8 is M( -1, -9)
Solve for x.
x/36= 16/24
16
24
36
54
Answers
The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x - 18 = 11 18 - x = 11 -x 18 = 11 x 18 = 11 user: solve for y. y - 12 = -10 y = 22 y = -22 y = -2 y = 2
Answers
negative 18 means -18
a number can be x
Sum of negative 18 and x should be 11
thus the equation is
[tex]-18+x=11[/tex]
(6.6x10^4)(7x10^3 sientific notation
Answers
66000 x 7000
= 462000000
Find the GCF of the following literal terms.
m^7n^4p^3 and mn^12p^5
Answers
m
n⁴
p³
The GCF = mn⁴p³
write 14/5 as a mixed number in simplest terms.
Answers
Answer: 2 and 4/5
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4
Therefore, 14/5 can be written as the mixed number 2 and 4/5.
264 shared in ratio 2:3:1
Answers
=44
________= 88,132,44
-----------
264/6
44
-------------
44 x2 = 88
----------------------
44x3 = 132
-----------------
44x1 =44
-----------------------
the ratio will be 88 : 132 : 44
30 : 48 as a ratio in simplest form
Answers
Compute the series 1 2/3 4/9 8/27 16/81
Answers
16*2/81*3
32/243
64/729
128/2189
if you need more you can just use a calculator
Perform the indicated operation.
5/4 + 7/9
a. 4/9
b.2 and 4/9
c.2 and 1/36
Answers
Use 36.
Multiply the denominators by each other.
45/36 + 28/38 add the top!
73/36 or 2 and 1/36
C.
Answer:
c.
Step-by-step explanation:
[tex]\frac{5}{4}+\frac{7}{9} = \frac{5*9+7*4}{4*9} = \frac{45+28}{36} = \frac{73}{36}[/tex]
and [tex]\frac{73}{36}= 2(36) + 1 = 2\frac{1}{36}[/tex]
Find the unit rate. Round to the nearest tenth. 344 miles in 11 hours
i try and try i still don't get it please anybody could help me please =(
Answers
if 344 miles 11 hours
? miles per a hour
?.11=1.344
?=34
The perimeter of a rectangular garden is 368 feet. If the width of the garden is 86 feet, what is its length?
Answers
Since we have one length of the side,
368 - (86*2) = 2L
196 = 2L
So the length is 98 because, 2 x 98 = 196
Solve the system and explain what the results mean according to your scenario.
2x + y = 9
3x + 4y = 26
...?
Answers
3x+4y=26
3x+4(9-2x)=26
3x+36-8x=26
-5x=-10
x=10/5
x=2
2(2)+y=9
y=5 x=2 <-----------------
y=5 <-----------------
2(2)+5=9
4+5=9
3(2)+4(5)=26
6+20=26
By elimination method:
2x + y = 9 (1)
3x + 4y = 26 (2)
Multiply eq (1) by -4:
-8x -4y = -36
(+) 3x + 4y = 26
4y will be cancelled out:
5x = -10
x = -2
Substitute x = -2 on eq (1):
2(-2) + y = 9
y = 9 + 8 = 17
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Which function below has the largest slope?
f(x)
x f(x)
2 4
4 12
6 20
g(x)
g(x)=10x - 4
h(x)
Lance gains 1 level each time he plays his favorite video game. He started at level 10.
f(x)
g(x)
h(x)
The functions all have the same slope
Answers
slope = change in y / change in x
slope = (20 - 12) / (6 - 4)
slope = 4
For g(x)
slope = 10
For h(x)
slope = 1
g(x) has the greatest slope.
What is the pattern for 43 36 29 22?
Answers
We can find this by subtracting the first term by the second
So 43-37=7
If we subtract the second by the third, we also get 7 and so on
Since the sequence is decreasing, that means it has to be a negative value that it is going by.
So the pattern is -7
The tables shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table?
Answers
Let
[tex] A(1,61) B(2,125) C(3,177) D(4,242) [/tex]
Using a graph tool
see the attached figure N 1
therefore
the answer is the option A
see the attached figure N 2
The correct answer is:
Graph A.
Explanation:
We can eliminate the last two graphs as they decrease; the numbers in this table continually increase.
To determine if it is graph A or graph B, we look at the spacing between the points. In the first graph, there is a steep jump between the first two points. The next two points increase more slowly, and there is another jump between the last two.
In the second graph, there is a slight increase between each pair of points. This does not match the data in the table; the first two points increase from 61 to 125, whereas the next two points go from 125 to 177, which is a smaller increase. This means the correct graph is graph A.
Please Help!!!!!
The function q(w)=3+5(w−1) represents the number of quarters in a bowl on week w.
What does the value 5 represent in this situation?
Quarters were added to the bowl for 5 weeks.
Five quarters are added to the bowl every week.
There were 5 quarters in the bowl on Week 1.
The value of the quarters in the bowl on Week 1 was $5.
The function p(t) represents the population of a certain town t years after 2010.
p(t)=3476(0.97)^t
What does the value 3476 represent in this situation?
Every year after 2010, the population increases by 3476.
Every year after 2010, the population decreases by 3476.
The population of the town in 2010 is 3476.
The population t years after 2010 is 3476.
Answers
Answer:
For number 2:
Step-by-step explanation:
Rewrite 5x(12+7) using distributive property
Answers
To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.
Explanation:To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.
First, let's distribute the 5 to the 12:
5 x 12 = 60
Next, let's distribute the 5 to the 7:
5 x 7 = 35
Putting it all together, we have:
5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95
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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]
To rewrite the expression 5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.
The distributive property states that a(b+c) = ab + ac
Applying this property to the given expression, we have:
[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]
Now, we can simplify the expression by performing the multiplication:
[tex]\[ 5x \times 12 = 60x \][/tex]
[tex]\[ 5x \times 7 = 35x \][/tex]
Combining these results, we get the final simplified expression:
[tex]\[ 60x + 35x = 95x \][/tex]
Therefore, the expression 5x(12+7) simplifies to 95x when the distributive property is applied and the multiplication is carried out.
Jane has 6 more than half the number pairs of shoes that merie has write an expression for this
Answers
Meaning Jane has the same amount of shoes has half of Maries shows plus 6.
What is ��1.95 x 6thanks?
Answers
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?
Answers
z = (x - 500) / 100
1.75 = (x - 500) / 100
175 = x - 500
675 = x
Answer:
A, 675
Step-by-step explanation:
Divide 9 by z expression
Answers
Which type of transformation does NOT result in a figure that is congruent to the original one?
Answers
Answer:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
Step-by-step explanation: