Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

To find:
The current that will produce the maximum power.
Solution:
We have,

Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is
, then

In the given function, a=-12 and b=120. So,



Putting x=5 in the given function, we get




Therefore, 5 watt current will produce the maximum power of 300 amperes.
I think 121
406 + 94 = 500 and 180 + 199 = 379.
Subtract that and 121 is what’s left.
Answer:
The answers are:
A. Exactly one circle can be inscribed in a given triangle.
C. Many triangular shapes can be circumscribed about a given circle.
Step-by-step explanation:
I just took the quiz as well. Good luck!