Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
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).
That equation has no graph. If it had a solution, the solution would be a single number. But that particular equation has no solution either ... there is no number that 'x' could be that would make the equation true.
Answer:
360 and 60.
Step-by-step explanation:
Let Christopher earns x amount of money and y be money earned by Michael.
Firstly, Christopher has six times as much money as Michael so,
x=6y........ (i)
If Michael earns $80 and Christopher earns $60, Christopher will then have three times as much money as Michael so,
x+60=3(y+80)
From (i),
6y +60= 3(y+80)
3(2y+20)=3(y+80)
2y+20=y+80
2y-y=80-20
y=60
Substituting value of y in equation (i),
x=6×60=360.
Therefore, Christopher earned 360 and Michael earned 60.
