Answer:
b= -6
y^(b×4) = y^(-24)
b= -6
Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Lets check if the three conditions hold.
1 : Continuity of g on the interval [0,2]
First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]
2 : Differentiable on the same interval
Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]
Also we have g'(x) = 2*3*x² - 3 = 6x² - 3
3 : Do we have g(0) = g(2) ?
Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1
And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11
Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0
Urgent.. Please somebody help me with this it due by tomorrow
divide 7 by 12 to change 7/12 to a repeating decimal. 7/12 = 7 divided by 12 = ?
Answer:
0.58333333....
can i have brainliest plz
Tim asked his classmates if they preferred rock music or pop music. The ratio of students who liked pop music to rock music was 3 to 4. If Tim asked 14 classmates, how many like pop music?
Answer:
10.5 people like pop music.
Step-by-step explanation:
3/4 like pop music
3/4 = 0.75
75% of 14 = 0.75x14=10.5
Convert the following equation into Slope Intercept Form "y=mx+b".
y-7=1/3(x+15)
Answer:
Slope = 0.667/2.000 = 0.333
x-intercept = 36/-1 = -36.00000
y-intercept = 36/3 = 12
Step-by-step explanation:
Madeline invest $3000. At the end of each year she receives 10% interest on the total balance for that what. What is of the third year? Please explain step by step or show work to be marked =]
Why is 100 4 tens and 14 tens
Answer:
That's false.
Step-by-step explanation:
4 tens would be 40 added together, and 14 tens would be 140 all together.
Same value as 40% of 84
Answer:
33.6
you are welcome :)
Step-by-step explanation:
Please help ME I NEED THIS also theres a photo
If there are 2,000 females and 2,000 males enrolled at a college and four different students are randomly selected to receive a book scholarship, what is the probability that at least one is female?
Calculate the probability two ways: a) treat as dependent selections and b) treat as independent selections.
Answer:
500
Step-by-step explanation:
you just divide 2000 by 4 and get 500
Please help with this
Answer:
697.24 and 886.76
Step-by-step explanation:
792+.92*103= 886.76
792-.92*103= 697.24
if that's not correct try 697.76 and 886.25
If there were 310 million people in the United States, what was the daily consumption rate in barrels per person in the United States? This is also called "barrels per capita." Round to the nearest hundredth of a barrel.
The daily consumption rate in the United States will be 10 barrels per person.
Your question is incomplete as you didn't provide the total barrels, therefore, an overview of the answer will be given. In their case, let's assume that the total barrels is given as 3.1 billion.
Therefore, the barrels per person will be:
= Total barrels / Population
= 3.1 billion / 310 million
= 10 barrels per person.
In conclusion, the correct option is 10 barrels per person.
Read related link on:
https://brainly.com/question/25261899
need help with this algebra ii question
Vertex form: y = |x - h| + k
Vertex = (h, k)
G(x) was shifted 3 to the right and up 2.
G(x) = |x - 3| + 2
Hope this helps!! :)
- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you
know the decimal point of your quotient is placed reasonably.
Answer:
the weight of each marble is 2.55 grams
Which angles are alternate interior angles?
Answer:
<SRU and <TUW
Step-by-step explanation:
They are on opposite ends which makes them alternate interior angles
What is 21596 rounded to the nearest Highest Place
Answer:
if i'm correct 20,000
Step-by-step explanation:
Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
Step-by-step explanation:
the area =
[½(8+2)×4] + [½×3.14×1²]
= 20 + 1.57
= 21.57
= 21.6
How many positive integers between 1000 and 9999 inclusive are divisible by 5 but not by 7?
nrnrjfhjcudiidjfbhcucuujbrbrbfdhhdhdhhfhhfhfhfufufiidjrj
PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive
Which linear inequality and its solution set is represented by the graph?
Answer: im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
The temperature of a city steadily drops during the day until it is half of what it was at the beginning of the day. It then decreases by an additional 6.8ºF after the sun goes down. The temperature at the end of the day is −3.1°F.
What was the temperature at the beginning of the day?
Enter your answer in the box.
ASAP PLZZ
Answer:
7.4
Step-by-step explanation i took the test
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
x - x/2 - 6.8 = -3.1
x = 7.4
The temperature at the beginning of the day was 7.4°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The temperature at the beginning of the day = x
The temperature during the day = x/2
The temperature after the sun goes down = 6.8°F
The temperature at the end of the day = -3.1°F
Now,
We can write an expression as,
x - x/2 - 6.8 = -3.1
x - x/2 = -3.1 + 6.8
x/2 = 3.7
x = 7.4°F
Thus,
The temperature at the beginning of the day was 7.4°F.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
[tex]-3\frac{1}{3} * -3\frac{2}{5}[/tex]
Answer: 4
Step-by-step explanation:
First create numbers into an improper fraction.
-10/3 * (-3) 2/5
Then solve it using pemdas, resulting into the answer #4
Answer:
11 1/3
Step-by-step explanation:
after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?
Answer:
9000
Step-by-step explanation:
Plz help me fast urgent thank you :) 20 points
Answer:
I believe it is A. Cooperative Federalism
Step-by-step explanation:
The other ones don't seem applicable to the diagram
Answer:
number 3 dual federalism
hitunglahluaslingkaranjikadiketahuihal-halberikutJari-jari 24cm ari-jari3,5cmdiameter56cmdiameter40cm
Answer:
Saya tidak yakin bagaimana menjawabnya maaf
Step-by-step explanation:
Like nobody is helpping me i been postting the same questions alot of time what are you doing yall want to to answer what yall want to answer i post the easy question that yall can and it ju0st like. who ever want to help there are questions on my page they are easy im telling you! 50 pts for who ever do and brainliest
Answer:
Sure if they are not too hard
Step-by-step explanation:
Use the IQR to determine if any of the data in the data set are outliers.
{23,80,43,23,0,20,23,23,20,28}
Using the IQR, the only outlier in the data set is: 0.
What is the IQR of a Data Set?IQR = upper quartile (Q3) - lower quartile (Q1).
Given the data set, 23,80,43,23,0,20,23,23,20,28:
Quartile (Q1): 20
Quartile (Q3): 31.75
IQR = 31.75 - 20 = 11.75
The outliers are data values that lie below:
Q1 - (1.5 × IQR) = 20 - (1.5 × 11.75) = 2.375
And data values that are above:
Q3 + (1.5 × IQR) = 31.75 + (1.5 × 11.75) = 49.375
Therefore, the only outlier is: 0.
Learn more about the IQR on:
https://brainly.com/question/4102829
#SPJ1
Solve.
34.2 = 13.4 + 9.6x
Enter your answer as a mixed number in simplest form in the box.
x =
What is the distance between point C (3.5,6) and Point A (4.8, 6)
Answer:
-1/3 and 0
Step-by-step explanation:
3.5-4.8=-1.3
6-6=0
I'm possibly wrong, but I need the points, and brainiest so, sorry if it is wrong.
Solve pleaseee !!!..
Answer:
x=76
Step-by-step explanation:
#CarryOnLearning
Answer:x=76
Step-by-step explanation:
Distribute: -4(x-26)=-200 -4x + 104 - 104 = -200
Subtract 104 from both sides of the equation
-4x + 104-104 = -200-104
Simplify
Subtract the numbers
-4x +104-104=-200 - 104
-4x=-200 - 104
Subtract the numbers
-4x = -200 - 104
-4x = -304
-4x = -304
Solution
x=76