Plzz help me to find coefficient in binomial theorem (25 points)

Plzz Help Me To Find Coefficient In Binomial Theorem (25 Points)

Answers

Answer 1

Denote x2 by y.

 

(x2-3)7=(y-3)7

 

This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8

 

You have 7 terms of (y-3) in (y-3)7.  To get the fourth power of y, you need to choose y from four of the terms.  The number of ways you can do this is the combinations of 7 things taken 4 at a time.  This is:

 

7!/(4!3!)=35

So, the coefficient of x8 in the given expansion will be 210.

HOPE IT HELPS

THANK YOU


Related Questions

which value of x is the solution set of 2(3x-1)≥4x-6

Answers

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Distribute 2:                                 6x - 2 ≥ 4x - 6Subtract 4x on both sides:          2x - 2 ≥ -6Add 2 on both sides:                   2x ≥ -4Divide 2 on both sides:               x ≥ -2

Here we see that any value x greater than or equal to -2 would work as a solution.

Please help asap!!

Find the missing side lengths

Answers

C trust me I took the test

What is the base in the expression 4⁵?
A. 4
B. 5
C. 9
D. 20​

Answers

Answer:

4

Step-by-Step Explantion:

Base it always the big number not the little one on the top.

this is freckle math can someone help

Answers

Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)

Step-by-step explanation:

The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).

The graph is shown below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x

y = number of miles

x = number of hours

4 miles per hour.

Now,

The rate is 2 miles per hour.

This means,

y = 2x

Now,

x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour

y = 2 x 1/20 = 1/10 miles = 0.1 miles

The ordered pair is (0.05, 0.1)

x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour

y = 2 x 1/10 = 1/5 miles = 0.2 miles

The ordered pair is (0.1, 0.2)

Thus,

The ordered pairs are (0.05, 0.1) and (0.1, 0.2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?​

Answers

I’m not sure.. I think it would be(-2,4)

solve h+9.7=-9.7 and show me the steps​

Answers

Answer:

h = -19.4

Step-by-step explanation:

1. Take the constant on the left side of the equation by changing the positive to a negative ---> h = -9.7 -9.7

2. Solve the right side, and you have yuor answer. ---> h = -19.4

A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)

Answers

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

8 cars (3 red, 3 blue, 2 yellow) are parked in a line, how many arrangements can be formed if all the cars of each colour are identical and the yellow cars must not be together

Answers

Answer:

the answer is 18. There are 18 ways to arrange the cars.

Melanie and Rena open a joint bank account for their jewelry-making business. Melanie contributes $400 to the account, and Rena deposits 225% as much money as Melanie. Which statements are correct?

Answers

Answer:

B,C, D

Step-by-step explanation:

Answer:900

Step-by-step explanation:

Rena deposits 900 into the account

He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal

Answers

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?

Answers

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

I need help with this.

Answers

Answer:show me

Step-by-step explanation:

i need help with this can you show me some work so i can do it by my self after

Answers

Answer:

Step-by-step explanation:

1) √36 = 6

2) ^3 √8 = 2

3) ^3 √64 = 4

does anyone know the answer
(s/3) -4=2

Answers

Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.

Answers

Answer:

The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.

If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.

Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].

Now, on solving we get,

[tex]20x\geq 3000[/tex]

[tex]\implies x\geq \frac{300}{20}[/tex]

[tex]\implies x\geq 15[/tex]

Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.

Writing an inequality function:

Since

Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment

20x≥30,000

x≥15

Based on this, the above represent the inequality function.

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.​

Answers

Answer:

UY = 14

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

UY = 2YZ

UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

UY = 14

If 5-x=3 then what is 3x^2

Answers

Answer:-

• Given:-

5 - x = 3

Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

3x²

➪ 3 × (2)²

➪ 3 × 4

12

Therefore, 3x² will be = 12.

Which value of n makes the equation true?
1/2(n+4)=6

Answers

Answer:

8

Step-by-step explanation:

1/2(12)=6

Answer:

8

Step-by-step explanation:

1/2(8+4)=6

A rectangle with a perimeter of 9 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.2 with the origin as the center of dilation. If (x,y) represents the location of any point on the original triangle, which ordered pair represents the coordinates of the corresponding point on the resulting triangle?
A. (x + 0.2, y + 0.2)

B. (.2x, .2y)

C. (9x, 9y)

D. (x + 9, y +9)

Answers

Answer:

B now give me brain

A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal

Answers

I have that as well I have no idea

PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.

Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope

Answers

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?

Answers

Answer:

273 people.

Step-by-step explanation:

Given that,

Total number of people working on an office building = 1092

The building has 4 floors, and the same number of people work on each floor.

We need to find how many people work on each floor. Let there are n people in each floor.

n = Total number of people/Total number of floors

[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]

So, there are 273 people working on each floor.

Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x

ASAP PLEASEEEEEEE

Answers

Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

Which graph shows a line with a slope of 0?

Answers

Answer: c

Step-by-step explanation: if there is no y then its just x=-2

Answer:

c

Step-by-step explanation:

m=y/x and in this case the graph doesn't cross y so ot is valued 0

Solve the equation for x. x^2 = 900

Answers

Answer:

x = 30, -30

Step-by-step explanation:

square root both sides to get the answer x=30

help i forgot how to do this

Answers

Answer:uhhh

Step-by-step explanation: ok so ask for help from teacher maybe

16/x = 2/7 cross multiplication

Answers

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

[tex]x=\frac{16 x7}{2}[/tex]

x=56

Hope this helps :)

Tyler says he invented a number puzzle.



He asks Clare to pick a number, and then asks her to do the following:



Triple the number



Subtract 7

Double the result



Subtract 22



Divide by 6



Clare says her final answer is -3. Tyler says her original number she thought must have been 3.



How did Tyler know that? Explain or show your reasoning.

Answers

If Clare’s original number was 3 then she would first triple the number
3*3 is 9
Subtract 7 from 9 and you get 2
2 doubled is 4
22 subtracted from 4 is -18
-18 divided by 6 is -3
So Tyler just took Clare’s final answer (-3) and did the opposite if the steps back words
(multiple by 6, add 22, divide by 2, add 7, divide by 3)

please help and show work if you can​

Answers

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Answer this question plss

correct answer get's brainliest :D

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

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