Answer:
1. y = 9(x+1/2)^2 -13/4
Step-by-step explanation:
y = 9x^2 + 9x – 1
first isolate the x terms
y = 9(x^2 +x) -1
then add 1/4 inside the brackets to make it a perfect square trinomial (half of the coefficient of the x term squared is how we get 1/4)
since we just added 1/4 we need to subtract what we just added to balance the equation. so 1/4 times 9 is 9/4 ( the number we just added to the equation). then you subtract 9/4 outside of the brackets.
y = 9(x^2 +x +1/4) -1 -9/4
then simplify
y = 9(x+1/2)^2 -13/4
Answer:
11880 ways
Step-by-step explanation:
We can solve this problem in two ways. I'm going to show you how to do both.
We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.
From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.
Such that
12 x11 x10x 9= 11880
These are the total different leadership structures possible.
Another way to solve this is by permutation method.
nPr
12!/(12-4)!
= 12!/8!
= 11880 ways
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0.00891^10 = 3.1533853116847−21