From the graph we can conclude:
The cars travels for 2 hours, then stops for 1 hour and finally travels again for 2 hours.
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Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into

- Find, the y-coordinate of the vertex, by evaluating

We know that the power generated by an electrical circuit is modeled by

This function is a quadratic function.
To find the current that produce the maximum power you must
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into


- Find, the maximum-power, by evaluating


5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function
and see that the maximum is (5, 300).
Answer:
.
Step-by-step explanation:
The area formula for a parallelogram is the same as it is for a square or a rectangle. It's A = b*h. They give you the area and the height, and x is part of the radicand for the base. Set it up like this:

. Divide both sides by 7 to get

. Now, the opposite of a square root is squaring, so let's undo that square root by squaring. But because this is an equation, if you square the right you also have to square the left.

. Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x. There you go!