What is the average rate of change for the following graph over the interval 1 ≤ x ≤ 3?
Answers
Answer:
The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval!
We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.
The correct option is B: -4
We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:
[tex]\frac{f(b) - f(a)}{b - a}[/tex]
Here we have the interval 1 ≤ x ≤ 3, and by looking at the graph we can see that:
f(3) = 1
f(1) = 9
Then the average rate of change is:
[tex]\frac{1 - 9}{3 - 1} = -4[/tex]
So the correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/23483858
Related Questions
Una escalera está apoyada sobre la pared que mide 3.5m. El pie de la escalera hasta la pared mide 2.5m ¿Cuánto mide la escalera?
Answers
Responder:
Explicación paso a paso:
La configuración formará un triángulo de ángulos rectos.
Deje que el pie de la escalera a la pared sean los lados adyacentes = 2,5 m
La altura de la pared será el lado opuesto = 3,5 m
La longitud de la escalera será la hipotenusa.
Usando el teorema de Pitágoras:
hip² = opp² + adj²
hip² = 3,5² + 2,5²
hip² = 12,25 + 6,25
hip² = 6
hip = √6
hip = 2,45 m
Por tanto, la longitud de la escalera es 2,45 m.
56 = 7.42-1 Type your answer into the box
Answers
i dont understand the question
please simplify if possible -5 1/3 × -2 2/5 AND SHOW WORK If you dont know how to show work then dont answer in really stressed and I bbh have 3 tests and 7 assignments due in a few hours
Answers
Answer:
-5 1/3 × (-2 ) 2/5
- 16/3 x (-2) 2/5
16/3 x 2 x 2/5
(calculate the product)
64/15
alternate form:
4 4/15
and
4.26
2b-4/3=b-3/6. I don’t know how to solve it :(
Answers
You want to get b on one side and the fractions on the other. First you should subtract b from both sides giving you 2b-b-4/3=-3/6. Then you add 4/3 to both sides. That gives you 2b-b=-3/6+4/3. Combine like terms. Subtract b from 2b. Find the least common denominator for the fraction side which would be 6. This makes the equation b=-3/6+8/6. Add the fractions and you get b=5/6
Hope it helps
Isaac read that 32% of people owned dogs. What decimal represents the portion of people who
do not own dogs?
Answers
The 0.68 decimal represents the part of humans who do not own dogs.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc. If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, Isaac read that 32% of people owned dogs.
Thus,
We can say the portion of people who owned dogs = is 32% of * the total number of people
the portion of people who owned dogs = 0.32* total people
So,
The portion of people who Do not own dogs will be = 1 - 0.32* total people
The portion of people who Do not own dogs will be = 0.68 total people
therefore, the 0.68 decimal represents the portion of people who
do not own dogs.
Learn more about proportionalities here:
https://brainly.com/question/3254974
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A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams sugar per day and a sample standard deviation of 4.2 grams per day. The researcher would like to construct a 99% confidence interval for the mean daily sugar intake of residents in the county using the data. Which distribution should the researcher use when analyzing these data?
Answers
Answer: The researcher should use a t-distribution because they do not know the true standard deviation of daily sugar intake in Durham county
Step-by-step explanation:
Given data:
No of county residents contacted = 35
Sample average = 37.4grams
Standard deviation = 4.2.
Confidence interval.
From the given data above it is obvious that the research doesn’t know the true data for standard deviation of the daily intake of sugar in Durham. And as such the best distribution method that can be employed by the researcher to solve this problem would be the T-distribution.
Mary must average at least 30 hours of work per week during each five-week cycle to keep her health benefits. During the first four weeks of the cycle, she has worked 30, 30, 28, and 28 hours. What is the lowest amount of hours she can work in the fifth week to have a weekly average of 30 hours?
Answers
Answer:
34 hours
Step-by-step explanation:
given the figures for the work are
30, 30, 28, and 28
we know that average
A= sum of values/number of values
let the fifth value be x
the number of values is now 5
given that A=30
30=30+30+28+28+x/5
cross multiply
150=116+x
x=150-116
x=34 hours
1) A motorcycle travels 300 miles south in 3 hours. What is the average velocity?
2)If the velocity of a car is 45 kilometers per hour west, how far can it travel in 0.5 hours?
3)An airplane travels 4,425 kilometers west in 5 hours. What is its average velocity?
Answers
Answer:
you need to divide distance over time and finally you can get your answer
Step-by-step explanation:
Please Please answer this! I will be so thankful and will mark brainliest.
If angle 1 and angle 3 are vertical angles, and m<1= (5x + 14) degrees and m<3= (7x - 4) degrees, what is the value of x, and the measure for angle 1?
Answers
Answer:
x = 9
[tex] m\angle 1= 59\degree [/tex]
Step-by-step explanation:
Since, [tex] \angle 1 \:and \:\angle 3[/tex] are vertical angles.
[tex]\therefore m\angle 1 = m\angle 3\\
\therefore (5x + 14) \degree= (7x - 4) \degree\\
\therefore (5x + 14) = (7x - 4) \\
\therefore 5x - 7x = - 4 - 14\\
\therefore -2 x = - 18\\\\
\therefore x =\frac{-18}{-2}\\\\
\huge \orange {\boxed {\therefore x = 9}} \\\\
m\angle 1 = (5x + 14) \degree\\
m\angle 1 = (5\times 9+ 14) \degree\\
m\angle 1 = (45+ 14) \degree\\
\huge \purple{ \boxed{m\angle 1 =59\degree}}[/tex]
-|5a+3(2ab-1)if a=-2and b=-3
Answers
Answer:
-23
Step-by-step explanation:
Which of the following statements is true?
6.800 > 6.8
8.2 = 8.002
1.25 > 1.035
7.4 < 7.32
Answers
[tex]1.25 > 1.035[/tex]
100% correct answer.....Thank you ☺️
-3(m - 4) <6
Solve inequality
Answers
isolate the variable by dividing each side by factors that dont contain the variable inequality form:
M > 2
12,851 rounded to the nearest ten thousand?
Answers
Answer:
13000
Step-by-step explanation:
because 851 is above 500 you add 1 to the 2 then put 000 for the other numbers
PLZ HELP LAST QUESTION given the piecewise function given below select all statements that are true f(x)=-x+1,x<0 -2,x=0 x^2-1,x>0 All in brackets A.F(4)=7 Bf(-1)=2 c.F(-2)=0 d.F(1)=0
Answers
Answer:
Step-by-step explanation:
Given the function f(x)=-x+1,x<0 and f(x) = x^2-1,x>0
when x = 4
f(4) = -4+1
f(4) = -3
Also f(4) = 4^2 -1
f(4) = 8-1
f(4) = 7
when x = -1
f(-1) = -(-1)+1
f(-1) = 2
Also f(-1) = (-1)^2 -1
f(-1) = 1-1
f(-1) = 0
when x = -2
f(-2) = -(-2)+1
f(-2) = 3
Also f(-2) = (-2)^2 -1
f(-2) = 4-1
f(-2) = 3
when x = 1
f(1) = -1)+1
f(1) = -2
Also f(1) = (1)^2 -1
f(1) = 1-1
f(1) = 0
From the calculation above, the correct statements are
A. F(4)=7
B f(-1)=2
d. F(1)=0
Expand.
Your answer must be a polynomial in standard form.
m(-m^3 + m^2 + 3m)
Answers
Answer:
-m^4+m^3+3m^2
Step-by-step explanation:
what is the perimeter and area for 6m and 4m rectangle floor
Answers
Answer:
perimeter = 20 area = 24
Step-by-step explanation:
add all the sides to find the perimeter and multiply two sides to find the area
Answer:
perimeter: 20
area: 24
Step-by-step explanation:
To do perimeter add all the sides together. so 6+4=10 then times 2 because there are 4 sides to a rectangle. not just 6 and 4(2 sides.)
Area: Multply them together. 6*4=24
The dimensions of the box below are reduced by half. What is the constant of proportionality between the volume of the new box and the volume of the original box? Alternative text A.1/2 B.1/4 C.1/8 D.1/16
Answers
Answer:
C. 1/8
Step-by-step explanation:
Dimensions of the Original Box:
Length = 40 inches
Width = 20 inches
Height = 8 inches
Volume of original box = L*W*H = 40*20*8 = 6,400 in³
Dimensions of the New Box (½ of the dimensions of the original box):
Length = ½*40 = 20 in
Width = ½*20 = 10 in
Height = ½*8 = 4 in
Volume of original box = L*W*H = 20*10*4 = 800 in³
Constant of proportionality between the volume of the new box and the volume of the original box = [tex] \frac{800}{6,400} = \frac{1}{8} [/tex]
What does the arrow represent at the end of the graph
Your answer:
Goes on forever
Stops at the arrow
You didn't go over it
Answers
Tangela earns the same amount each week by babysitting. When she started this job, she had $200 in her savings account.
The table shows Tangela's savings account balance for her first month of work.
Week 0 1 2 3 4
Balance $200 $350 $500 $650 $800
Let x represent the number of weeks Tangela has been working and let y represent Tangela's account balance.
Which equation, expressed in Slope-Intercept form, represents the amount of money in Tangela's bank account over time?
Answers
Answer:
y = 150x + 200
Step-by-step explanation:
Given the table :
Week (x) __ 0 ____ 1 ____ 2 ____3 _____ 4
Balance(y) :$200_ $350_ $500_ $650_ $800
Equation in slope - intercept form:
y = mx + c
Where
x and y are the independent(x) and dependent variables (y)
C = intercept, value of y, when x = 0
m = gradient change in y per change in x
Hence,
c = $200 ; y value when x = 0
m = change in x / change in y
m = (500 - 350) / ( 2 - 1)
m = $150
Hence, equation becomes :
y = 150x + 200
Noah and his children went into a grocery store and where they sell apples for
$1 each and mangos for $2 each. Noah has $20 to spend and must buy at
least 9 apples and mangos altogether. If Noah decided to buy 4 apples,
determine the maximum number of mangos that he could buy. If there areno
possible solutions, submit an empty answer.
Answers
Answer:
8 is the maximum he can get.
Step-by-step explanation:
Good luck!
Hope this helps!
A16 ounce bottle of orange juice says it could take 200 mg of vitamin C which is 250% of the daily recommended allowance of vitamin C for adults what is 100% of the daily recommended
Answers
Answer:
100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.
Step-by-step explanation:
Write a question that represents the following equation.
22-7= 15
Answers
Answer:
15 + 7= 22
Step-by-step explanation:
Can someone please help me with these questions I don’t have much time thxxx
Answers
b
c
if not, i read it wrong. the picture is too blurry
Is this equation linear?
y=x^2+3?
Is this equation linear?
y= x/4+7 (The x/4 is a fraction)
Answers
9514 1404 393
Answer:
noyesStep-by-step explanation:
In the equation ...
y = x² +3
the largest variable exponent is 2, which is not 1. The equation is not linear.
__
In the equation ...
y = (1/4)x +7
the largest variable exponent is 1, so the equation is linear.
Oscar received a $100 gift card from Better Buy for his birthday. He used the card to purchase 3 DVDs. The balance on the card is now $74.50. If all the DVDs cost the same amount, what was the cost, x, of 1 DVD?
Answers
Answer:
24.83
Step-by-step explanation:
74.50 divided by 3
Which ordered pair is on the inverse of f(x)?
O (-4,-2)
O (-2,-2)
0 (-1,-2)
f(x)
-4
-2
-2
-1
0
0
2
1
4
Answers
Answer:
(-1,-2)
Step-by-step explanation:
Inverse function is where y and x are exchanged in position of a equation of a function.
Slope intercept equation
Answers
(x+12)23-(2x-3)+16=12+5x-1
hmmmmmmmmm
Answers
Answer:
look at the attached picture
Answer:
X = -16.75
Step-by-step explanation:
Distribute.
(x + 12)23 = 23x + 276
12 + 5x -1 = 11 + 5x
Combine like terms.
23x - 2x - 5x = 16x
11 - (276 + 3+16 ) = -284
16x = -284
x = -17.75
whatis 3 1/6 divided by 9/10
Answers
Answer:
3 14/27
Step-by-step explanation:
Answer:
3.51851851852 …95/27 or 3 14/27Step-by-step explanation:
It can be 3.518 …
or 95/27 depending
on your question. It can also be
3 14/27 ( Three and Fourteen Forward Slash Twenty Sevenths )
Hope this helps! <3
what is a negative number that has an absolute value greater than 10
Answers
Answer:
-11
Step-by-step explanation:
any number less than -10 will have an absolute value higher than 10
