Slope =6 passing through (-6,7)
1 answer:
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Answer:
The correct option is 3.
Step-by-step explanation:
The vertex form of a parabola is
.... (1)
where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.
The given function is
It can be written as
If an expression is defined as , then we need to add
to make it perfect square.
In the expression the value of b is -2. So, we nned to add and subtract
in the parenthesis.
.... (2)
The vertex form of the parabola is .
From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the minimum height of the roller coaster is 2 meters from the ground.
Therefore the correct option is 3.
You have the right idea that things need to get multiplied.
What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.
Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.
The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.
So we multiply the entire complex fraction by (5)(x + 6)(x -3).
Numerator:
= (x+6)(x-3) - (5)(5)(x-3)
= (x+6)(x-3) - 25(x-3)
= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3
= (x -3)(x - 19)
Denominator:
Now we put the pieces together.
Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)