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:
c
Step-by-step explanation:
you have to set them up as a fraction and see if they are an equivalent fraction and if they are thats the proportion
The average wage this year for the northern regions would be about $18.83.
They are unlike numbers so the x normally just means 1 so just say it’s 1+5
Answer:
Let x be the rent for a movie and y is the rent for a video game
The following system of equations:
5x + 2y = 31 (1)
3x + 8y = 56 (2)
Solving the system of equations above we have:
x = (31-2y) / 5 (1) => replace x in (2) 3 ((31-2y) / 5) + 8y = 56 => y = $ 5.5
Replace y = $ 5.5 for (1) => x = ((11 - 11) / 5) = 4
So the rent for a movie is $ 5.5 and the price for renting a video games is $ 4
Step-by-step explanation:
