Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
![P(c) = 20(c - 3)^2](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%5E2)
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
![P(c) = 20(c - 3)^2](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%5E2)
![P(c) = 20(c - 3)(c - 3)](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%20-%203%29%28c%20-%203%29)
Open bracket
![P(c) = 20(c^2 -6c+ 9)](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020%28c%5E2%20-6c%2B%209%29)
![P(c) = 20c^2 -120c+ 180](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020c%5E2%20-120c%2B%20180)
The maximum value of c is:
![Max(c) = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
Where:
![f(x) = ax^2 + b^2 + c](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%5E2%20%2B%20b%5E2%20%2B%20c)
By comparison: ![P(c) = 20c^2 -120c+ 180](https://tex.z-dn.net/?f=P%28c%29%20%3D%2020c%5E2%20-120c%2B%20180)
![a = 20](https://tex.z-dn.net/?f=a%20%3D%2020)
![b = -120](https://tex.z-dn.net/?f=b%20%3D%20-120)
![c = 180](https://tex.z-dn.net/?f=c%20%3D%20180)
So, we have:
![Max(c) = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
![Max(c) = \frac{-(-120)}{2 * 20}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B-%28-120%29%7D%7B2%20%2A%2020%7D)
![Max(c) = \frac{120}{40}](https://tex.z-dn.net/?f=Max%28c%29%20%3D%20%5Cfrac%7B120%7D%7B40%7D)
![Max(c) = 3](https://tex.z-dn.net/?f=Max%28c%29%20%3D%203)
Answer:
The discount is 30
169.99 is the price she will pay
Step-by-step explanation:
First find the discount
199.99 * 15%
199.99 * .15
29.9985
Rounds to 30.00
The discount is 30
199.99 - 30
169.99 is the price she will pay
The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The parabolic equation of the function is given below.
y = 6 (x - 0.5) (x + 3)
Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be
We know that for the y-intercept, the value of x is zero. Then we have
y = 6 (x - 0.5) (x + 3)
y = 6 (0 - 0.5)(0 + 3)
y = 6 (-0.5)(3)
y = -9
More about the function link is given below.
brainly.com/question/5245372
#SPJ1
Answer:
bright blue: (10,1)
black: (20,2)
red: (35,3)
pink: (40,4)
green: (55,5)
purple: (70,6)
grey: (90,7)
Step-by-step explanation:
colour coded
Answer
480
Step-by-step explanation:
Congrats on your first question!
The investment is 480 because
(80 / 100) x 1000 = 80 x 6 = 480
The total is 1480.