q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
1 answer:
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Answer:
y =
Step-by-step explanation:
The equation used to find the equation for a line with two intercepts is called point slope form. , where
and
are the intercept points and m is the slope.
However, we need the slope to use this formula.
Use
m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}
y - ( -7 ) = m ( x - ( 4 ) )
y - ( -7 ) = -7/4 ( x - ( 4 ) )
y + 7 = -7/4 ( x + 4 )
y + 7 =
y + 7 =
y + 7 =
y + 7 = - 7
y =
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.