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valkas [14]
3 years ago
12

H(9z)

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Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0
Not enough informatio dawg
You might be interested in
How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
PLEASE ANSWER ASAP! REALLY IMPORTANT! MUST BE CORRECT! POINTS GIVEN!
VMariaS [17]
 - 5/12  +  ( - 1/4) = 

Adding two negatives results in a negative

-1/4 = -3/12

-3/12 + -5/12  =  -8/12

-8/12 + 3/12    < Subtract and take the sign of the BIGGER number.

8 - 3 = 5

- 5/12

Answer:  - 5/12
8 0
2 years ago
Read 2 more answers
Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 -4 3 -8 7 -12 11 -16
SOVA2 [1]
-15 the answer is 15
5 0
2 years ago
BRAINLIESSSSTTTT!!!
trapecia [35]
A. (-5,1)
B. (-5,4)
C. (-2,4)

6 0
3 years ago
7. Find the slope of the line through ( -2,6 ) &amp; (3,14).
hammer [34]
14-6 over 3--2
8/5

.................,
5 0
3 years ago
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