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3 years ago

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

Mathematics

1 answer:

Viefleur [7K]3 years ago

5 0

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 

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3 years ago

The sum of three integers is 280. The sum of the first and second integers exceeds the third by 34. The third integer is 30 less

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Answer:

The sum of three integers is 280.

a + b + c = 280

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The sum of the first and second integers exceeds the third by 70.

a + b = c + 70

the third integer is 21 less than the first.

c = a - 21

Rearrange the 2nd equation and use elimination with the 1st equation

a + b + c = 280

a + b - c = 70

------------------subtraction eliminates a & b, find c

0 + 0 + 2c = 210

c = 210/2

c = 105

then

105 = a - 21

a = 105 + 21

a = 126

Find b using the 1st equation

126 + b + 105 = 280

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See if that checks out

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3 years ago

1 4/9 + 2 6/9 is equal to 4 1/9, true or false?

viktelen [127]

Answer: True

Explanation: To add mixed numbers, first add the fractions.

So here, we have 4/9 + 6/9 which is 10/9.

Then add the whole numbers.

So we have 1 + 2 which is 3.

So our answer is 3 and 10/9.

But notice, that since 10/9 is an improper fraction,

our answer is not in lowest terms.

10/9 can be rewritten as the mixed number 1 and 1/9.

So 3 and 10/9 is the same as 3 + 1 and 1/9 which is 4 and 1/9.

Since 4 and 1/9 is in lowest terms, this is our final answer.

So we can say that 1 and 4/9 + 2 and 6/9 is 4 and 1/9.

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3 years ago

Due today :(((((((((((((((

SVETLANKA909090 [29]

Answer:

E(last one)

Step-by-step explanation:

We dont know much for this, so lets just go over the basics of what we know:

Most of the numbers are between 2-7.

Very very few of the numbers are 9<

Now there is the number 8, which is not spoken of, so we can just conclude that it doesnt matter how many we see in a list of numbers.

Now, looking at each, we should be able to figure out which one is correct by which set of numbers has the lowest amount of numbers between 9<.

In the first case, 3 of the numbers are 9<(9, 9, and 11)

In the second case, 7 of the numbers are 9<(14, 11, 12, 9, 10, 9, 11)

In the third case, 3 of the numbers are 9<(14, 9, 11)

In the fourth case, 5 of the numbers are 9<(12, 14, 10, 11, 11)

Finally, in the fifth case, 2 of the numbers are 9<(9, 10)

So it must be the fifth answer, since it has the least with numbers 9<.

Hope this helps!

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Note that if it is multiply choice, the first, second, and fifth answer would work.

If it is single choice, then it will definatly be the fifth answer.

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