Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answers
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
Related Questions
HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW
Answers
Answer:
63.554
Step-by-step explanation:
V=pir^2h
r=3.4/2
h=7
V=pi(1.7)^2(7)
=63.554
Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answers
Answer:
40%
Step-by-step explanation:
Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100
(32 / 80) x 100 = 40%
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answers
Answer: I would say 50%
Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.
Answer:
I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.
Step-by-step explanation:
I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answers
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
Answers
answer asap no wrong answer ~-~
Answers
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The radius of the circle, r = 8 cm
The area of the sector, [tex]A=56\pi \ cm^2[/tex]
We need to find the measure of the sentral angle. The formula for the area of a sector is given by :
[tex]A=\dfrac{1}{2} r^2\theta[/tex]
Where
[tex]\theta[/tex] is the central angle
Substitute all the values,
[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]
So, the correct option is (b).
Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)
Answers
Answer:
-27
Step-by-step explanation:
3(-2)³-2-1 =
3(-8)-3 =
-24-3=-27
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answers
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?
Answers
Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?
Answers
Answer:
It will take 6 weeks
Step-by-step explanation:
Ms. Robinson: 75+15(6)=$160
Ms. LaSpina: 225-60 =$160
Therefore both will take 6 weeks
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answers
The middle school swim team scored a total of 181.863 points. Which expression represents this score?
A (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
B (1 x 100) + (8x10)+ (1x1)+ (8x2)+(6x 1/10)+(3x 1/100)
C (1x100) + (8x10)+(1x1) + (ex *)+(6x 100) +(3x 1/1000)
D (1*100)+(8x 10) + (1x1)+(8x 1000)+(ox 100)+(3x o)
o
Answers
Answer: A
Step-by-step explanation:
A follows the tenths, hundreds, and thousandths place correctly
Answer:
A. (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
Step-by-step explanation:
if 2f(x)-3f(1/x)=x^2 determine f(2)
Answers
hope this helped
What is the expression for k more than 8?
Answers
Answer:
k>8
Step-by-step explanation:
k more than 8 indicates that the value of k is larger than 8. So the inequality sign opens towards k and closes towards 8.
Hope this helps!
Answer:
9 is bigger than 8
Step-by-step explanation:
Which graph represents the inequality
X > 15?
Answers
this one because x has to be bigger than 15.
The graph with inequality x>15 is (B)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
x>15
As, x is greater than 15.
So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Answers
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?
Answers
Answer:
I think after 1.6 s it Will catch the dog
What is the equation of the line?
Answers
Answer:
y = 4
Step-by-step explanation:
I would like help on this math problem please!
Answers
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
3(g + 4) = 9
Need help
Answers
Answer:
g=-1
Step-by-step explanation:
3(g+4)=9
Divide both sides by 3.
g+4= 9/3
Divide 9 by 3 to get 3.
g+4=3
Subtract 4 from both sides.
g=3−4
Subtract 4 from 3 to get −1.
g=−1
Answer:
3(g+4)=9
or, 3(g+4)/3=9/3 [Dividing both sides by 3.]
or, g+4=3
or, g+4-4=3-4 [Subtracting 4 from both sides.]
So, g=-1
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answers
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
Learn more about a rectangular prism here:
https://brainly.com/question/128724
There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.
Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.
Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.
Round 1:
My Option: Rock
Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie
Round 2:
My Option: Paper
Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win
Round 3:
My Option: Scissors
Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win
1. Is the event “win the round” dependent on another event? Explain your reasoning.
2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.
3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.
Answers
Answer:
Round 1: rock
Round 2: scissors
Round 3: paper
Step-by-step explanation:
YOUR DATA TABLES
Round 1: TIE
Round 2: LOST
Round 3: WIN
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answers
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
The image below is a kite. Find the value of x.
Answers
Answer:
x=55.5
Step-by-step explanation:
2x=111
Isolate x by dividing both sides by 111
x=55.5
f(-3)=x^2+4
just need help with this
Answers
Step-by-step explanation:
f(-3)=(-3)^2+4
=9+4
=13
hope it helps u dear friend
Answer:
Step-by-step explanation:
Given
f(x) = x² + 4
Now
f(- 3) = (-3)² + 4
= 9 + 4
= 13
hope it helps :)
help me with this math question gr 8 math please
Answers
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
I solved C first using:
30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)
-
I solved A by looking across from C.
Angles on opposite sides should mirror each other but A includes 38* + C
Just by doing 112 + 38 you get 150.
-
I solved D by looking at 30*, alternative interior angles are the same so D is 30*.
-
I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.
Interior angles of a triangle should all add up to 180,
112 + 30 + B = 180
From this I got that B was 38.
Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.
I suggest reviewing this angles sheet if you're ever stuck in the future.
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3
Answers
Answer:
The volume of the shape is 560 ft^3
Step-by-step explanation:
To find the volume of the figure, we need to multiply the base area by the height of the figure
mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths
We have this as 8 ft * 10 ft = 80 ft^2
So multiplying this by the height which is 7 ft, we have this as;
7 ft * 80 ft^2 = 560 ft^3
What is the midpoint between (3,-1)and(7,-5)
Answers
Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps
Answers
Answer:
I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28
6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?
Answers
Answer:
16 meters
Step-by-step explanation:
5+3+5+3= 16 meters
