Answer:
Follows are the solution to this question:
Step-by-step explanation:
is invertible lines transformation
T is invertiable linear transformation means that is
and
Let
so,
![s[T(u)]=v[T(u)]\\\\s(v)=v(v) \ \ \forall \ \ v \ \ \varepsilon \ \ 1 R^n](https://tex.z-dn.net/?f=s%5BT%28u%29%5D%3Dv%5BT%28u%29%5D%5C%5C%5C%5Cs%28v%29%3Dv%28v%29%20%5C%20%5C%20%20%5Cforall%20%5C%20%5C%20v%20%5C%20%5C%20%5Cvarepsilon%20%5C%20%5C%201%20R%5En)
51=?
60 100
Then you cross-multiply the 51 and the 100 and get 5,100.
Next you take the 5,100 and divide it by the 60 which gives you your final answer of 85%.

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,
