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kherson [118]
3 years ago
8

What can you say about the relationship between the row number and the second term in each row in pascal's triangle?

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0
                   1
               1       1
           1       2       1    and so on.

First row:  1.  This 1 represents any nonzero base raised to power 0:  b^0=1.

Second row:  1    1.  These are the coefficients of a first order expression                                         such  as           1x^1  +  1x^0, or x+1.

Third row:  1    2    1 These are the coeff. of a 2nd order expression such as
                                    1x^2 + 2x +   1 = (x+1)^2

So it appears that the nth row contains the coefficients applying to the (n-1)th power of a binomial, such as (a+b)^n.

If n = 3, then the 3rd row   1   2   1   contains the appropriate coeff. for the expansion of  (a+b)^(3-1)   =   (a+b)^2  =  a^2 + 2ab + b^2.
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Answer:

Step-by-step explanation:

For this case we must determine the inverse of the following function:

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Step 1:

We would write

y=f(x) or y=3x-2

Step 2:

We clear x:

y+2=3x

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Step 3:

"x" and "y" are exchanged:

y=\frac{x+2}{3}

The inverse is:

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KatRina [158]

Answer:

(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625

Step-by-step explanation:

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In the figure attached, Pascal's triangle is shown.

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Replacing x = d and y = -5:

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(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625

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