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:
2x+3y= 1500
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I just did it
Answer:
<h2>x = 60°, y = 50°</h2>
Step-by-step explanation:
We know: the angles measures in a triangle add up to 180°.
<em>(look at the picture)</em>
z + 50 + 60 = 180
z + 110 = 180 <em>subtract 110 from both sides</em>
z = 70°
x + 50 + 70 = 180
x + 120 = 180 <em>subtract 120 from both sides</em>
x = 60°
Angles x, y and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 <em>subtract 130 from both sides</em>
y = 50°
There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.
y = 4x - 2
0 = 4x - 2 ... y is replaced with 0
4x-2 = 0
4x-2+2 = 0+2 ... we add 2 to both sides
4x = 2
4x/4 = 2/4 .... divide both sides by 4
x = 1/2
x = 0.5
The x intercept is x = 1/2 or x = 0.5
--------------------------
The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)
side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.
