Answer:
so first you do the work than check
Step-by-step explanation:
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.
Answer:
B: Survey 3 randomly selected students from every homeroom.
Step-by-step explanation:
This would be the best way to survey, because all the others have some sort of variable. The principle doesn't know who buys lunch and who doesn't, so why would he just ask kids who ride in a car as there are kids who ride buses, or only 7th grade students, so the best answer would be something that everyone has, like homeroom.
24/r= 36/27
Cross multiply:
36*r= 24*27
⇒ r= 24*27/36= 18
r=18~
w/0.16 = 6.25
⇒ w= 6.25*0.16
⇒ w= 1
w=1~
Answer:
so the vertex is (-4, 0) and the axis of symmetry is x=-4
Step-by-step explanation:
f(x) ≥ -(x+4)^2
f(x) ≥ -(x- -4)^2
this is in the form
f(x)> a(x-h)^2 +k
where (h,k) is the vertex and h is the axis of symmetry
so the vertex is (-4, 0) and the axis of symmetry is x=-4
