Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Janes weight = x
Twelve pounds less than twice janes weight is 270 pounds
12 less than 2x is 270
2x -12 = 270 (add 12 to each side)
2x = 270 + 12
2x = 282 (divide 2 from each side)
x = 282/2
x = 141
The answer is 141 pounds
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points 
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
Plugging the values of 
in the above equation we find:
This is the required equation of line in the form 
Answer= 18
Explanation: you have to graph it on a grid paper first then make. Also trust me it’s the answer
This ends up being:
-10m = -26
M= 2.6
Basically you’re doing basic algebra. You take the “11m” and subtract it to the positive (1) m. And you basically should see 1m-11m EQUALING -10m. Don’t let the negatives confuse you.
Then you take the 20 and subtract it to -6. It should look like: -6-20 = -26.
Then divide-10 to -26, then you should get 2.6. And yes positive!!
Hope this helped!
