Answer:
The maximum power generated by the circuit is 300 watts.
Step-by-step explanation:
A quadratic function is one that can be written as an equation of the form:
f (x) = ax² + bx + c
where a, b and c (called terms) are any real numbers and a is nonzero.
In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.
The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.
The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:
- The value of x, in this case the value of current c in amperes, can be calculated with the formula
. In this case:
So c= 5 amperes. The current is 5 amperes. - The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts
<u><em>The maximum power generated by the circuit is 300 watts.</em></u>
This is a composite. Another way to write them is f(g(x)). Take the function g(x) and stick it in for x in f(x). Like this:

. But we aren't done cuz there's some simplifying there to do.

and canceling out the 3's we get just a simple x as our answer. The choice is the last one above as your answer.
Answer:
x = 152 degrees.
Step-by-step explanation:
The way the 2 angles are positioned indicates that they are corresponding angles.
Corresponding angles are equal.
x = 152 degrees.
Make you know what corresponding angles are and when they can be used. Make sure you also know what parallel lines are (2 or more lines whose distance is a constant). Make sure you also know what a transversal is (a line that crosses the parallel lines).
Are you sure about the arrow up or down..
Answer:
<h2>-223,948</h2>
Step-by-step explanation:
The formula of a sum of terms of a gometric sequence:

a₁ - first term
r - common ratio
We have

Calculate a₁. Put n = 1:

Calculate the common ratio:

