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klio [65]
3 years ago
12

What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

Mathematics
2 answers:
Neporo4naja [7]3 years ago
4 0

Answer:

The fourth term is 5940x^9.

Step-by-step explanation:

We use the binomial theorem which says:

(x+y)^n = \sum_{k=0}^n (nCk) \:x^{n-k}y^k

Where

(nCk)=\frac{n!}{k!(n-k)!}.

For (x+3)^{12}

The theorem gives:

(x+3)^{12}= \sum_{k=0}^{12}(12Ck) \:x^{12-k}*3^k

From this the fourth term is when k=4:

(12C3)x^{12-3}*3^3

Since (12C3)=220

(12C3)x^{12-3}*3^3=\boxed{5940x^9}

Ahat [919]3 years ago
3 0

Answer: 12^C8(3)^8

Step-by-step explanation:

edge2020 .

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xenn [34]

Answer:

  • y = -38x + 10

Step-by-step explanation:

<u>Slope- intercept form:</u>

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3 0
3 years ago
Mr. Whitehall is going through the financial records of his bakery. The monthly expenses, in dollars, for x months of operation
irga5000 [103]

Answer:

The profit function is p(x)=700x-1150.

Step-by-step explanation:

The monthly expenses, in dollars, for x months of operation is given by the function

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The monthly revenue, in dollars, earned by the bakery is given by the function

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The formula for profit:

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Subtract the revenue and cost function to find the profit function.

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p(x)=2300x+1235-(1600x+2385)

p(x)=2300x+1235-1600x-2385

On combining like terms we get

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7 0
4 years ago
You can represent and odd integer with the expression 2n + 1, where n is any integer. write and solace and equation to find thre
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Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.  

 

Hope this helps :)

7 0
3 years ago
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