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yasminnishkan
05.03.2020 •
Mathematics
1. Find the next term in the sequence.
9, 15, 21, 27,..
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Ответ:
33
Step-by-step explanation:
9+6=15
15+6=21
21+6=27
27+6=33
33
Ответ:
the formula is x = -b/(2a), where the parabola is of the form y = ax^2 + bx + c.
we can derive this by completing the square
y = ax^2 + bx + c
= a(x^2 + (b/a)x ) + c
= a(x^2 + (b/a)x + (b/(2a))^2 - (b/(2a))^2 ) + c
= a( (x + b/(2a) )^2 - (b/(2a))^2 ) + c
= a(x + b/(2a) )^2 - a(b/2a)^2 + c
or by using calculus which uses the fact that that
, so the critical point (always a global maximum or minimum in the case of a parabola) occurs at x = -b/(2a).