Answer:


Step-by-step explanation:
Given

Solving (a): In vertex form
The vertex form of an equation is:

To do this, we make use of completing the square method.
We have:

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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize 


Factor out x - 3

Express as squares

Hence, the vertex form of
is: 
Solving (b): State the coordinates of the vertex.
In
; the vertex is: (h,k)
The vertex of
will be 
I’m not completely sure but I think the answer is C.
Answer:
Approximately the number of men is 203 and number of women is 47.

Answer:
1.01 × 10⁴ - scientific notation
10,100 - decimal notation