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:
1 1/3 minutes
Step-by-step explanation:
Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside
From the above question, we are to calculate the time at which the gasoline is pumped into the container
Hence:
Time = Number of gallons/Rate
Number of gallons = 4
Rate = 3 gallons per minutes
Hence:
Time = 4 gallons/3 gallon per minutes
Time = 1 1/3 minutes
The time at which the gasoline is pumped into the container is 1 1/3 minutes
Y= 2/2 is the slope of the equation
Answer:
Number line graph with closed circle on 12 and shading to the right.
Explanation:
if you see Ezra needs $37 and if she has less than $12 then she will not have $37. she needs exactly $12 or more. The closed circle tells us that 12 is a answer and the shading to the right means more than 12.
Answer:
C+11/c+9
Step-by-step explanation:
3c+33/3c+18 = c+11 / c+6
C^2+17c +66 = (c+6)(c+11)
C^2 +20c+99 = (c+11)(c+9)
So the given question becomes
{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}
= c+11 /c+9
