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: 2.5
Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5
The probabilities can be calculated using an online calculator or tables, depending on which is more readily available.
QUESTION A
Using calculators, the probability will be:
QUESTION B
Using calculators, the probability will be:
QUESTION C
![P(-0.76Using calculators, the probability will be:[tex]P(-0.76\lt Z\lt2.05)=0.756](https://tex.z-dn.net/?f=P%28-0.76Using%20calculators%2C%20the%20probability%20will%20be%3A%5Btex%5DP%28-0.76%5Clt%20Z%5Clt2.05%29%3D0.756)
Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7
I believe it would be 1.667 (1 2/3) percent
