a) –
The maximum value of 10x - 5x2 – 1 is
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Step-by-step explanation:
= -5 ( x2 - 2x) - 1
= -5 (x2 - 2x + 1 - 1) - 1
= -5 (x - 1)2 + 5 - 1
= 4 - 5 (x - 1)2
Since ( x - 1 )2 >= 0
-5 (x - 1)2 <= 0
4 - 5 (x - 1)2 <= 4
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