Answer:
- 6
Step-by-step explanation:
The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.
Slope(using these pts) = (y2 - y1)/(x2 - x1)
=> - 2 = (-2 - r)/(3 - 5)
=> -2 = (-2 - r)/(-2)
=> (-2)(-2) = (-2 - r)
=> 4 = -2 - r
=> r = - 2 - 4
=> r = - 6
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.
Her is your answer 3% of the sales is $180
If the sales is called 's' we can write an equation to model the statement 3% of the sales is $180:
The amount of sales is $6,000.
Your final answer is $6,000 in sales.
Answer:
(12,0), (3, -1) (0,-4/3)
Step-by-step explanation:
To do this problem, you have to plug in the x and y values. For example, the first one would be 12-9(0)=12, and so on.