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Vikki [24]
2 years ago
11

What is the coefficient of the last term in the binomial expansion of (x 1)9? 0 1 9 10

Mathematics
1 answer:
alekssr [168]2 years ago
3 0

The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

Learn more about binomial expansion from here brainly.com/question/13602562

#SPJ4

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Answer:

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Step-by-step explanation:

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i did this by assuming that the amount of d is 8 at first, then change one of the 8 d to a q which will give you 7d+q, then assume another d is a q which will give you 6d+2q, repeat this until the amount of d and q add up to 1.25

6 0
3 years ago
The financial statements of the Tyler Company report net sales of $300,000 and accounts receivable of $50,000 and $10,000 at the
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Answer:

the accounts receivable turnover for the Tyler Company is 10

Step-by-step explanation:

The company report :

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account receivable  = $50,000 and $10,000

to find the accounts receivable turnover, use the following formula:

accounts receivable turnover = net sales : average account receivable

First, we need to calculate the average account receivable of  the company

average accounts receivable = ($50,000+$10,000) : 2

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Then, substitute net sales into the formula

accounts receivable turnover = $300,000 : $30,000

                                              = 10

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