
Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Answer:3.6
Step-by-step explanation:
Answer:
94 cubic units
Step-by-step explanation:
The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product 
Since

we have

Answer:
18.9 or 23.625
Step-by-step explanation:
Answer:
D. Vertical Multiplication
Step-by-step explanation:
It would actually look like
3y^3 - 2y^3
× y^2 + y