If f(x)=x^3-x, what is the average of change of f(x) over the interval [1,5]
Given:
The function is:
[tex]f(x)=x^3-x[/tex]
To find:
The average of change of f(x) over the interval [1,5].
Solution:
We have,
[tex]f(x)=x^3-x[/tex]
At x=1, we have
[tex]f(1)=(1)^3-(1)[/tex]
[tex]f(1)=1-1[/tex]
[tex]f(1)=0[/tex]
At x=5, we have
[tex]f(5)=(5)^3-(5)[/tex]
[tex]f(5)=125-5[/tex]
[tex]f(5)=120[/tex]
The average of change of f(x) over the interval [a,b] is
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Now, the average of change of f(x) over the interval [1,5] is
[tex]m=\dfrac{f(5)-f(1)}{5-1}[/tex]
[tex]m=\dfrac{120-0}{4}[/tex]
[tex]m=\dfrac{120}{4}[/tex]
[tex]m=30[/tex]
Therefore, the average of change of f(x) over the interval [1,5] is 30.
rename 3/100 happppy
A tepee has a circular floor with a diameter of 6 meters. What is the floor's area?
Answer:
Area = 28.26 Meters²Explanation:
Area = π r²
Radius = ½ Diameter
3.14 · 3²
= 28.26
The floor's area is 28.26 meters²
1/3 of 2 feet equals blank inches
Answer:
Step-by-step explanation:
The distance d in inches (″) is equal to the distance d in feet (ft) times 12:
USE THIS FORMULAE
d(″) = d(ft) × 12
Answer:
8 inches
Step-by-step explanation:
1 ft = 12 inches so 2 feet would be 24 inches. 1/3 of that is 8 inches.
Please help me I don’t have much time!
Find the highest common factor of 24 and 60
What is the measurement of angle g?
Answer:
The answer is 26
Step-by-step explanation:
64+ 90= 154. 180-154=26, your missing angle
A 2010 Toyota Prius hybrid vehicle gets 48 MPG for highway driving. The tank holds 11.9 gallons of fuel.1 Typically the low fuel warning light comes on when approximately two gallons of fuel remain in the tank. Which of the following correctly calculates the distance that can be traveled between the time the fuel light comes on and the car runs out of gasoline?
Answer:
36
Step-by-step explanation:
10.9 x 6 - 85 / 8/5 when put the variable JB3BAIT3D
ill mark brainlist plss help
Answer: meter
Step-by-step explanation:
28/a + 6 =
Plss I need help
Answer:
[tex]\frac{28 + 6a}{a}[/tex]
Step-by-step explanation:
If P(x) = x² + x + 2, find P(7).
P(7)=
Answer:
P(7) = 58
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
P(x) = x² + x + 2
P(7) is x = 7
Step 2: Evaluate
Substitute in x [Function]: P(7) = 7² + 7 + 2[Output] Exponents: P(7) = 49 + 7 + 2[Output] Addition: P(7) = 56 + 2[Output] Addition: P(7) = 58a) What type of correlation is shown in diagram A?
b) What type of correlation is shown in diagram B?
c) What type of correlation is shown in diagram C?
Answer:
A = strong negative correlation
B = positive correlation
C = very weak or no correlation
Step-by-step explanation:
Scatter plot A:
A clear linear trend line could be observed having a negative slope ; the nature of the slope gives the nature of the correlation (positive or negative). Since the slope is negative then we have a negative correlation. The linear trend line is almost straight with only few points marginally missing the best fit line. Hence. We can conclude to have a strong negative correlation.
Scatter plot B :
Has a positive slope, and hence a positive correlation. The best fit line miss a few points but the linear trend of the plot is still observable. Hence, we can conclude to having a fairly strong positive correlation.
Scatter plot C :
From the graph, no linear trend can be observed and hence it is fit to say that no correlation exists between the points.
2
Steve has 18 blue marbles and 27 red marbles in a bag. What is the ratio of red marbles to
blue marbles?
Answer:
3 : 2
Step-by-step explanation:
27 : 18 reduce the numbers = 3 : 2
Please hurry it’s about to be due
Answer:
a,c,e
Step-by-step explanation:
If the x-value repeats and the y does not, is it a function?
Answer:
If X repeats and y does not it is not an example of a function. But if the y repeats and has two different x values that can be known as a function.
For an example ( 1 , 3) and (1, 4) thats not an example of a function because the x value is repeating but if its ( 1, 4) and (2,4) a thats
a function because no x value is repeating the x value is known as an independent value. Does that make sense?
"This relation is definitely a function because every x-value is unique and is associated with only one value of y. So for a quick summary, if you see any duplicates or repetitions in the x-values, the relation is not a function."
If an x-value in a relation repeats, the y-value must also repeat for that x-value to make the relation to be defined as a function.
For a relation to be called a function, the following holds true:
Each x-value (input) has it's own unique y-value (output).
A x-value cannot give two different y-values.
If an x-value repeats, the corresponding y-value must repeat.
Therefore, if the x-value in a relation repeats, the y-value must also repeat for that x-value for the relation to be defined as a function.
Learn more here:
https://brainly.com/question/17184769
What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?
–69.19x – 32.39
–69.19x + 38.2
–72.2x + 41.21
75x – 338.2
Answer:
–69.19x + 38.2
Step-by-step explanation:
-9.2(8x - 4) + 0.7(2 + 6.3x)....distribute thru the parenthesis
-73.6x + 36.8 + 1.4 + 4.41x ...combine like terms
(-73.6x + 4.41x) + (36.8 + 1.4) =
-69.19 + 38.2 <====
hope it helps!!
tell me if I got it wrong
Answer:
–69.19x + 38.2
Step-by-step explanation:
Hi,my name is tk and this is a trick question what does 190×1,000
Answer:
Is this a joke? Or do I actually solve this lol
Step-by-step explanation:
Answer:
190,000
Step-by-step explanation:
you multiply 19×1 and then add the four zeros
PLZ HELP AND UWU
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the values of the cards in his collection. What percentage of the baseball cards are valued at less than $55? less than 25% between 25% and 50% between 50% and 75% more than 75%
Answer:
There's no image.................
Answer:
the answer is less then 25%! i took the test on K12
Step-by-step explanation:
At Kirby Middle School, some students were surveyed to see which social
media app they used the most. The results are shown below.
App Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the
most?
Answer:
Kirby Middle School
The percentage of students who used Snap the most is given as:
= 44%
Step-by-step explanation:
a) Data and Calculations:
App Number of Students
Face 8
Snap 22
Insta 20
Total 50
The percentage of Snap users = Number of Snap users/Total users * 100
= 22/50 * 100 = 44%
b) This represents the proportion of all the students surveyed about the use of social media app. Since 22 students used Snap out of 50, it means that 44% of the survey sample used Snap. This is against 16% (8/50) who used Face and 40% (20/50) who used Insta.
At the end of the car lease, you pay a certain amount if you decide to buy the car.
Answer:
yes
Step-by-step explanation:
Jordan uses a recipe to make yogurt putty. He buys a bag of cornstarch containing 128 servings that are 1/8 cups each. He needs 2 1/4 cups for each batch of yogurt putty. About how many batches can Jordan make? Due by 2:59 PM today
Answer:
6 Batches because if each batch calls for 1/3 of a cup of flour and you split 2 cups into 1/3 cups you would have 6 1/3 cups
Step-by-step explanation:
Jordan can make 7.111 batches before 3 PM today.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Jordan uses a recipe to make yogurt putty.
He buys a bag of cornstarch containing 128 servings that are 1/8 cups each.
He needs [tex]2\frac{1}{4}[/tex] cups for each batch of yogurt putty.
So, servings are 128 x (1/8)
= 16 cups.
To find the number of batches:
Use division,
16 / ( 9/4)
= 16 x 4/9
= 64 / 9
= 7.111
Therefore, 7.111 batches Jordan can make.
To learn more about the division;
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Select the correct answer.
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
Given:
The system of equations is
[tex]y=x-3[/tex] ...(i)
[tex]y=-2x+1[/tex] ...(ii)
To find:
The set of coordinates that satisfies the system of equations.
Solution:
On equating the given equations, we get
[tex]x-3=-2x+1[/tex]
[tex]x+2x=3+1[/tex]
[tex]3x=4[/tex]
Divide both sides by 3.
[tex]x=\dfrac{4}{3}[/tex]
Putting [tex]x=\dfrac{4}{3}[/tex] in (i), we get
[tex]y=\dfrac{4}{3}-3[/tex]
[tex]y=\dfrac{4-9}{3}[/tex]
[tex]y=\dfrac{-5}{3}[/tex]
Therefore, the required set of coordinates that satisfies the given system of equations is [tex]\left(\dfrac{4}{3},\dfrac{-5}{3}\right)[/tex].
33 pieces of candy were split among friends. If each
person received two pieces, and there were 7 leftover,
how many people received a piece of candy?
33-7=26/2=13, so there were 13 friends
In a city, the temperature changes by −2.3 degrees each hour for 4 hours.
Answer: 9.2 degrees
Step-by-step explanation:
2.3*4=9.2
Which image is a reflection over the line y = x of triangle 1?
Answer:
A edge 2021
Step-by-step explanation:
The correct answer is option A
What is a reflection?Reflection is the mirror image of the shape. In other words reflection is also called a flip.
How to find which triangle which triangle is the reflection of triangle 1 over the line y=x?If a triangle is reflected over the line y=x, then the coordinates of the vertices of the triangle gets interchanged.In the given figure the vertices of the triangle are (1,1) , (4,1) and ( 4,3)
So, after reflection over the line y=x,
The vertices of the triangle will be (1,1) , ( 1,4) and (3,4). Clearly, the triangle will be in the first quadrant itselfSo, the correct answer will be option A , where the triangle has the vertices (1,1) , ( 1,4) and (3,4).
In other options the triangles are not even in the first quadrant.Find out more about 'Reflection' here: https://brainly.com/question/20903710
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Malala is following this recipe for bread rolls.
She uses 300 g of flour.
How much of the other ingredients does she use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
12 g yeast
48 mL oil
360 mL water
Answer:
When she uses 300g of flour
She will uses: 4.5 g salt
9 g yeast
36 ml oil
270 ml water
And she will make 9 bread rolls
The balance in the savings account in January was $350. By the end of
December, the account balance was $380. By what percent did the
balance change?
Answer:
8.571428571%
Step-by-step explanation:
380-350 = 30
30 / 350= 0.08571428571
I don't know if it tells you to round or not so
I think of a number, take away 7 and my answer is 15.
Answer:
The number is 22.
Step-by-step explanation:
Set up an equation:
X - 7 = 15
Solve for x:
X (-7+7) = 15 + 7
X=22
Hope this helps! have a great day!
please answer the two questions on the photo
Answer:
a) 7 tiles
b)4 1/3 tiles*
Step-by-step explanation:
*you would need 5 tiles if the answer isn't supposed to be a fraction. 4 1/3 is the exact amount but if they are asking for whole tiles you need to put 5. since they didn't actually specifiy that i don't think you have to worry about it. i would go with 4 1/3 tiles
2. Find the relationship of x and y from
a graph of a line that crosses the
y-axis at y = 6 and that goes to the
left 2 units and rises 3 units.
y = _____ x + ______
Answer:
2x + 3 i think
Step-by-step explanation: