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

there are 15 pieces of fruit in a bowl and 6 of them are apples what percentage of the pieces of fruit is in the bowl of apples​

Answers

Answer:

40%

Step-by-step explanation:

6/15=.4 move the decimal 2 spots to the right to get percentage :)

Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?

A: $60.00

B: $440.00

C: $560.00

D: 562.43​

Answers

Answer:

The answer is D

Step-by-step explanation:

What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, others are saying its always even, shouldn't it be both I mean jesus

Answers

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

find the area of the trapezoid below by decomposing it into fimilar shape?​

Answers

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Find the area of each geometric figure or product of the polynomial.

(5n + 3)

A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9 ​

Answers

it’s c
Because you do 5n+3 times 5n+3 and you get 25n^2+9

Help !!!
See question in image.
Please show workings .
​​

Answers

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule on each term

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

y = 2x² + 5x - 3

[tex]\frac{dy}{dx}[/tex] = 2.2[tex]x^{2-1}[/tex] + 5[tex]x^{1-1}[/tex] - 0

    = 4x + 5

[tex]\frac{dy}{dx}[/tex] ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

A population of 752,000 people decreases at a rate of 1.4% each year. Let t represent the number of years and A(t) represent the amount after years, Which function models this situation?

Answers

Solution :

Initial population, P = 752,000 .

Rate of decrease, r = 1.4 % .

Now, population decrease in 1st year :

[tex]P_1 = P( 1 - 0.014 )[/tex]

Also, population decrease in 2nd year :

[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]

Similarly for each next x year, population will be :

[tex]P_x = P( 1-0.014)^x[/tex]

Therefore, population after x years is given by :

[tex]P_x = 752000 ( 1-0.014)^x[/tex]

please help and show work if you can​

Answers

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

What number is 2/5 of 50

Answers

2/5 * 50

= 100/5
= 20
Hi ☘

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]

Solve each equation. Check 19. x(x - 32)=0​

Answers

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

A store has a 25% off sale on coats. Marcy saved $18.75 on the coat she bought. What was the original price of the coat?

Answers

Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

What is the translation rule for this transformation?
options:

T(x, y) -> (x+3, y+6)

T(x, y) -> (x-3, y-6)

T(x, y) -> (x -6, y-3)

T(x, y) -> (x+6, y+3)

Answers

9514 1404 393

Answer:

  (b)  T(x, y) -> (x-3, y-6)

Step-by-step explanation:

Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...

   T(x, y) ⇒ (x-3, y-6)

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

====================================================

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

------------------

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

Help! Thx so much its pretty easy! u guys r da best!

Answers

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

PLEASE HELP MEE I NEED TO TURN THIS IN SOON

Answers

Answer:

7x=7

Step-by-step explanation:

A rope is tied to a tent for support as shown. Rope Support 14 TL sin What is the length of the rope?​

Answers

Answer: 10ft

Step-by-step explanation:

The pole and the distance between the rope and pole make this appear as though it is a right angled triangle which means that one should be able to calculate the length of the rope by using the Pythagorean rule where:

c² = a² + b²

a = height of right angle triangle

b = length of right angle triangle

c = hypotenuse (length of rope)

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft

Length of rope = 10ft

Find the slope between these two points: (3, 8) and (1, 5).

Answers

the slope is 3/2 (3 over 2)

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

The pic is the question! Please help

Answers

Answer:

93

Step-by-step explanation:

150×62%

150×62/100

15×62/10

=930/10

=93

Answer:

93 is your correct answer

Step-by-step explanation:

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

Does anyone know how to tell if a graph is inverse

Answers

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph

Find the value of x

a. 7.5
b. 6
c. 10
d. 8

Answers

The value of the missing part of the triangle given above would be = 7.5. That is option A.

How to calculate the missing value of the given triangle?

To calculate the missing length of the similar triangle, the formula listed below should be used.

That is;

a/a+b = c/c+d

where a = 8

b = 10

c = 6

d = ?

That is;

8/8+10 = 6/6+d

make d the subject of formula;

8(d+6) = 6(18)

8d +48 = 108

8d = 108-48

8d = 60

d = 60/8

d = 7.5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

Brad went to Walnut and purchased 4 pounds of cashews and 2 pounds
of peanuts for a total of $36. Roberto also went to Walnut but purchased
7 pounds of cashews and 6 pounds of peanuts for a total of $73.
Price per pound for cashews was $
Price per pound for peanuts was $

Answers

Answer:

Price per pound for cashews = $7

Price per pound for peanuts = $4

Step-by-step explanation:

Let,

x be the price per pound of cashews

y be the price per pound of peanuts

According to given statement;

4x+2y=36      Eqn 1

7x+6y=73      Eqn 2

Multiplying Eqn 1 by 3

3(4x+2y=36)

12x+6y=108     Eqn 3

Subtracting Eqn 2 from Eqn 3

(12x+6y)-(7x+6y)=108-73

12x+6y-7x-6y=35

5x=35

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]

Putting x=7 in Eqn 1

4(7)+2y=36

28+2y=36

2y=36-28

2y=8

Dividing both sides by 2

y=4

Hence,

Price per pound for cashews = $7

Price per pound for peanuts = $4

someone please help!

Answers

IT IS THE THIRD ONE:

3+8.486

because I find it like that

x = [?]
5x - 5
2x + 10

Answers

Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

On a coordinate plane, the center of a circle P is at the point (2, 15) . Point M is located on the circle at (7, 3). Which equation describes circle P?

Answers

Answer: (x - 2)^2 + (y - 15)^2 = 13^2

Step-by-step explanation:

We know that the general equation for a circle is:

(x - a)^2 + (y - b)^2 = R^2

Where:

(a, b) is the center of the circle

R is the radius of the circle.

First, we know that the center of the circle is the point P, (2, 15)

Now, we also know that point M, (7, 3), is located at the circle.

Then we know that the radius of the circle will be equal to the distance between point P and point M.

Remember that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then in our case, we have:

Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13

This means that the radius of the circle is R = 13.

Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:

(x - 2)^2 + (y - 15)^2 = 13^2

Which function is graphed below?

Answers

Exponential Function.

[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]

Also the shown graph is a decreasing graph.

[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]

The equation above is the equation of the graph that is shown in the picture.

28 divided by 5 gvbhcjdxksalskdfjghnvjckfkckkvkvjv

Answers

Answer:

5.6

Step-by-step explanation:

HAve a nice day!

HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)

Answers

(-3.5,1.5) mark it the brainliest

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

(-6-1/2),(5-2/2)

(-7/2),(3/2)

HELP WHATS THE VALUE OF X RLLY IMPORTANT ​

Answers

Answer:

The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.

Step-by-step explanation:

Answer:

I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(

Step-by-step explanation:

Which of the following is equivalent to the expression (mn)^1/5?

Answers

Answer:

its not showing me the equation

Step-by-step explanation:

>>>>>

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