Answer:
D
Step-by-step explanation:
Firstly, since it is a selection question, we shall be using a combination approach.
So here we are trying to select the best answer that describes that 2 out of 10 students are selected.
Let’s consider the scenario below;
selecting r out of n can be resolved using the combination nCr
= n!/(n-r)!r!
Now in this case, our n = 10 and r = 2.
Thus, 10C2, we have ;
10!/(10-2)!2! = 10!/8!2! = (10 * 9 * 8!)/8!2! = (10 *9)/2! = 90/2 = 45
Thus, 10C2 = 45
Here, the order of selection does not matter as we can select in random fashion. This makes option D correct
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)
</span><span>→ y = -(x2 - 9x +4x - 36)
</span><span>→ y = -[x(x-9) + 4(x - 9)]
</span><span>→ y = -(x - 9)(x + 4)
Your answer would be </span>y=-(x-9)(x+4).
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