Which equals the product of (x – 3)(2x + 1)
2 answers:
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Answer:
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7
Step-by-step explanation:
The given numbers are;
0, 1/3, 1/2, 3/5, and 2/3
The number sequence is formed adding to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;
For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;
The
For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;
For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;
For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;
For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
so that means that
. We can use that to solve for p in the formula
so
which simplifies to
which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.