subtract like terms
5a^3 - 6a^3 = -a^3
7 - 4 = 3
answer is -a^3 + 2a^2 - 4a + 3
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Answer: Hence, our required probability is 
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex
Answer:
Answer is explained in the attached document
Step-by-step explanation:
Hessenberg matrix- it a special type of square matrix,there there are two subtypes of hessenberg matrix that is upper Hessenberg matrix and lower Hessenberg matrix.
upper Hessenberg matrix:- in this type of matrix zero entries below the first subdiagonal or in another words square matrix of n\times n is said to be in upper Hessenberg form if ai,j=0
for all i,j with i>j+1.and upper Hessenberg matrix is called unreduced if all subdiagonal entries are nonzero
lower Hessenberg matrix:- in this type of matrix zero entries upper the first subdiagonal,square matrix of n\times n is said to be in lower Hessenberg form if ai,j=0 for all i,j with j>i+1.and lower Hessenberg matrix is called unreduced if all subdiagonal entries are nonzero.
3, 5, 7
wanna know why, or do you not care?