Mathematics College

What is the second term in the binomial expansion of (2x−3y)12 ?

Recall the binomial theorem:

Group of answer choices

73728x11y1


−73728x11y


−608256x10y2


608256x10y2

Answers

Answer 1

The option that gives the correct value of the second term is;

Option B; -73728x¹¹y

We are given the expression;

(2x - 3y)¹²

Now we want to find the second term using binomial expansion.

In binomial theorem, we have the following expressions;

(x + y)² = x² + 2xy + y²

(x - y)³ = x³ - 3x²y + 3xy² + y³

(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴

(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....

Now applying this same system above to our question gives us;

(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........

Thus, our second term here is; -73728x¹¹y

In conclusion, the correct option that gives the second term is Option B.

Read more at; https://brainly.com/question/24102756

Related Questions

x cube + 1 ÷ x squared -x+1

​

Answers

Hey, here it is!!!!

6.71 x 10^6 divided by 3.6185 x 10^4

Answers

Answer:

185.436

Step-by-step explanation:

10^6=1000000

6.71×1000000=6710000

10^4=10000

3.6185×10000=36185

6710000÷36185=185.436

help i need a place to watch movies during schools

Answers

Answer:

try to use soap2day.to if its not blocked by your school

Answer:

wdym? Netflix?

like do you mean you need a setting to watch them?

- Library

random table or bench

or do you need a site to watch them?

- Netflix ( needs subscription )

- Disney + ( Needs Subscription )

Hope that helps?

Jayson started with 200 anger units. Each week he lost 7 anger units. Write an equation that models Jayson's anger after t weeks.

Answers

Answer:

200 - 7t

Step-by-step explanation:

In order to make an equation, you have to figure out what needs to be put into it. Because Jason starts off with 200 anger units, that number will be subtracted by whatever amount he loses or gains per week, which would be 7. Then, in order to model the number of weeks, you would multiply the variable t to 7, so that it represents how many weeks Jason is going to lose 7 anger units. Therefore, our final equation should be:

Anger units = 200 - 7t

Hope this helps :)

Select the correct answer.
One of the factors of the polynomial x2 + 5x + 6x is (x2 + 3x). What is the other factor?
AX-2
B. X+ 2
C. X+ 1
D. X-1

Answers

Answer:

I think it is B it is my guss

How many intervals are there in the hisogram in figure 1.4?

Answers

Answer: 5 to 20 intervals.

Step-by-step explanation:

Option B is the correct answer.

measurements <2 and <4 are??

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Acording to given figure, The Angles 2 and 4 forms :

Alternative Exterior Angles ~

PLEASE HELP ME WITH THIS QUESTION PLEASE

and show your steps please I really need help with this question please help please

Answers

Answer:

a. 2.2 m

b. 8 m

Step-by-step explanation:

4) a. Sin 32 = x/4

= (sin 32)(4) = x

b. Cos 65 = 4.5/x

x = 4.5/Cos 65

30 points please answer (Must show work) Screenshot attached!!!

Answers

Answer:

1  thats it

Step-by-step explanation:

Answer:

the second, fourth

Step-by-step explanation:

Since they all have the same fraction, but different positive and negatives in each equation we can find out which ones are equal to the original equation by how many negatives each equation has.

The original equation has 2

first option only has 1, so we can eliminate that one

the second option has two, and they are the same equation as the original, only in reverse, so this one will be one of the answers.

the third only has one so we can get rid of that one.

the fourth has 2, even though it has a + it still makes 2/5 negative, so it is one of the answers as well.

and the fifth one is positive, and there are no negatives, so we can get rid of that one.

so the answers would be the second and fourth ones.

Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.

Required:
Draw the game tree. Be sure to indicate the information sets.

Answers

Answer:

Hi please make me brainly

Step-by-step explanation:

please

Given that f(x)= x^2+4, evaluate f(-2)

Answers

Answer:

f=-x^2/2-2

Step-by-step explanation:

if 126 base n =86 base ten, find the positive value of n​

Answers

Answer:

8

Step-by-step explanation:

HELPPP ASAPPPPPPP !!!!!!

Answers

Answer:

ok so it would be square root 2

Step-by-step explanation:ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

Mark 4 feet of licorle to show 3/4

on number line​

Answers

I have no way to mark it here to demonstrate what will be 3/4

solve the system x+2y-5z=10, y+2z=2, z=-1

Answers

Answer:

x=-3,y =4 z=-1

Step-by-step explanation:

x+2y-5z=10

y+2z=2

z=-1

Since z = -1, substitute into the second equation

y + 2(-1)=2

y -2 =2

y = 2+2

y=4

We can substitute into the first equation

x+2(4) -5(-1) =10

x+8+5=10

x+13 = 10

x = 10-13

x=-3

Write 0.00000000568 in proper scientific notation.

Answers

Answer:

568 to the negative power of 8

so. -8

568

what is the quotient of 2x+5/4 ÷ 2x+5/6
a. 1/4
b. 1/2
c. 2/3
d. 3/2

Answers

the answer is D: 3/2

Solve for the variable

9b+4−8b=7

b = ?

Answers

The answer is 3
B+4=7
B=7-4
B=3

Heyyy , help maybe please and thanks

Answers

Answer:

brian drink 7 cups of milk

Step-by-step explanation:

Suppose you have a 100 AED of coupons at Dubai Expo 2020. You spend 30 AED per game. Write an equation that models the total amount of money y you spent if you play x games.

Answers

The total amount of money y you spent if you play x games is expressed as y = 1/30x

Given the following

Total amount of AED of coupons at Dubai Expo 2020 = 100 AED

If you spend 30 AED per game, this can be expressed as:

30 AED = 1 game

100 AED = x game

Cross multiply

30 x = 100 * 1

30x = 100

x = 100/30

x = 10/3 games

This shows that 100 AED of coupons is used for 10/3 games

100 AED = 10/3 games

y AED = x games

Cross multiply

100 x = 10/3 y

100xy = 10/3

10 xy = 1/3

30xy = 1

y = 1/30x

Hence the total amount of money y you spent if you play x games is expressed as y = 1/30x

Learn more here: https://brainly.com/question/14107099

State the radius of this circle:
X^2 +Y^2=121

Answers

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 121 ← is the equation of a circle centred at the origin

with r² = 121 , then

r = [tex]\sqrt{121}[/tex] = 11

PLS HELppppppppppppppp

Answers

Answer: B

Step-by-step explanation:

Oki so I know this becaue I study to much and because if there was an answer saying this : y=6x+3 it would be wrong because it is adding to the constant

So y=6x is proportinal because it is allways constant. I forgot this was an example sorry.

Answer:

B. since x can equal anything, but nine is in front therefore, it can be what you want, so it is B.

Please help I don’t understand it

Answers

The constant is 3.

This is because when x=1, y=3 and when x=2, y=6 so that is a constant change over each interval as seen in the graph which is 3 :)

answer I'll give brainliest to the first one
SERIOUS ANSWERS ONLY​
10 points

Answers

Answer:

1: 24 girls

2: 640

3: 300

4: 3/10

5: 42

Step-by-step explanation:

1: 2/5 × 40

80÷ 5

16

girls = 40- 16

= 24

2: 1/3 × 960

960 ÷3

= 320

Left = 960 - 320

= 640

3: 3/8 × 480

1440 ÷ 8

= 180.

Left = 480 - 180

= 300

4: 2/5 × 3/4

= 6/20

= 3/10

5: 2/5 × x = 18

2x = 28 × 5

2x = 140

x = 70

70 - 28

= 42

Step-by-step explanation:

1. 24 girls

2.600

3.300

yan lang alam ko insan

x-10<-26
help lololololol

Answers

Hope this will help you!! <3

Answer:

Step-by-step explanation:

1) -90 ≥ 18x

Divide both sides by 18

-90/18 ≥ 18x/18

-5 ≥ x

2)x/3 > -8

Multiply by 3,

3*(x/3) > -8*3

x> -24

3)x - 10 < -26

Add 10 to both sides

x  < -26 +10

x < -16

4) 19 -x ≥ 21

Subtract 19 from both sides,

-x ≥ 21 - 19

-x ≥ 2

Divide both sides by (-1)

x < -2

I need help please and thanks
Number 9

Answers

Answer:

x= 1.75

Step-by-step explanation:

What is the in minute taken to cover 8.1km at an average speed of 5m/s

Answers

9514 1404 393

Answer:

  27 minutes

Step-by-step explanation:

The relevant relations are ...

  1 min = 60 s

  1 km = 1000 m

  time = distance/speed

__

  time = (8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s))

  = (8.1×1000)/(5×60) min = 27 min

It takes 27 minutes to cover 8.1 km at a speed of 5 m/s.

Which is the graph of the following equation?
|x| = 2

Answers

Answer:

A

Step-by-step explanation:

|x|= negative and positive with the lines

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6
​

Answers

Answer:

The answer would be 6 and 4.

Step-by-step explanation:

Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.

Which is the correct label for a right angle in the figure? (check picture for options and figure)​

Answers

Answer:

C

Step-by-step explanation:

Other Questions
can someone help me with this i am so confused Help plsssssssssssssssssssssssssssssssssssssssssssHehe its a test for yall the best will get full marks and 100 points with brainly . Describe the differences and similarities between the molecules of carbon monoxide, diatomic oxygen and carbon dioxide. Which two appear most alike? USE THE CLUES TO CRACK THE CODEThe digits of the code are 4,4, 0, and 2.The number is less than 1. The value of the thousandths digit isvalue of the hundredths digit.the10 All of the following were causes for American Imperialism EXCEPT forA. To The Need for Raw MaterialsB. Importance of Naval PowerC. Competition with European PowersD. Fear of Soviet Influence A valence electron is a) any electron in the highest energy level of an atom b) the electron closest to the nucleus of an atom c) any electron that does not take part in chemical bonding d) the electron that is gained when a cation is formed a 450-square-foot apartment in new york city costs $540,00 what is the price per square foot? 6. Choose the word or phrase that best matches the word in italics.The spectral look of the curtains blowing in the dark room startled the little girlsuddenlivelyghostlyflowing Drag each sentence to the correct definition of the homograph wind. gentle wind blew through the valley. The wind was 6 mph. Wind the toy to make it play music. The path winds through the park. The wind turned my umbrella upside down. The server would wind the cone to make the ice cream twirl.which goes to : air that blows outside which goes to : to turn or twist something This photo shows two objects: the lead in a pencil and a mineral sample.Both are made of the element carbon. Which statement about these objectsmust be true?A. They contain the same number of atomsB. They have the same massC. They consist of a single type of atom D. They take up the same amount of space PLS hurry Ill give brainlist!! :> Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive? Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified For many generations, the flowers in a meadow have been pollinated by a particular species of honeybee. One year, a new species ofhoneybee moves to the meadow. This new species pollinates the same flowers as the old species. Which description best predictswhat would happen if a new species of honeybee moves into a meadow that was already occupied by a particular honeybee thatpollinated the meadow? I need this bonus question Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.Estimate -minus actual temperature (\degree\text{C})(C)left parenthesis, degree, start text, C, end text, right parenthesisPerson A Person B Person C-33minus, 3 444 888-11minus, 1 -44minus, 4 -22minus, 2000 222 555222 -33minus, 3 111What is the mean value in Fatima's results? Nick and Matt are the partners in a local health food store. Theyneeded $73,000 to start the business. They invested in the ratio 3:7a. How much money did each invest?b. What percent of the business was owned by Matt? Round to thenearest tenth of a percent The percent of change from 200 to 220 and indicate if it is an increase or decrease. 2) The management company of a popular, but unstable, rapper is worried about their investmentin his up-coming world tour, so they purchase a 1-year $1 million insurance policy for $137,000.The probability the rapper will successfully complete the 1-year world tour is 0.87352. What isthe expected value of the policy from the perspective of the management company? How many liters are in 24.5 Milliliter? What is the constant of proportionality in the proportional relationship y=45x ? 45 4 5 I don't know.