Answer:
5 amperes will produce the maximum power
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.
To find out the maximum power we need to find the vertex
formula to find x -coordinate of vertex is 
P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c
a= -12, b = 120
c= 5 amperes will produce the maximum power
Answer:
5/9
Step-by-step explanation:
1/3 is converted to 3/9 and then added to 1/9 so that is 4/9 and the 9/9 subtract 4/9 is 5/9
Answer:
(-6,1)
Step-by-step explanation:
-2x+6y=18
-4x-6y=18
Add the two equations together to eliminate y
-2x+6y=18
-4x-6y=18
--------------
-6x = 36
Divide each side by -6
-6x/-6 = 36/-6
x = -6
Now we need to find y
-2x +6y = 18
-2(-6) +6y = 18
12 +6y = 18
Subtract 12 from each side
12-12 +6y = 18-12
6y = 6
Divide by 6 on each side
6y/6 = 6/6
y = 1
Answer:
The correct answer is M = 1 and N = -4
Step-by-step explanation:
In order to solve this system, use the elimination method. To do this, simply add the two equations together.
2m - 3n = 14
m + 3n = -11
-------------------
3m = 3
Now solve for m.
3m = 3
m = 1
Now that we have the value of m, we can use either equation to find the value of n.
2m - 3n = 14
2(1) - 3n = 14
2 - 3n = 14
-3n = 12
n = -4
Answer:
y=7/4x+15/4
Step-by-step explanation:
y-2=7/4(x+1)
1) Distribute 7/4 to x and 1:
y-2=7/4x+7/4
2) Add 2 to both sides:
y=7/4x+15/4
