Can someone please answer these two Algebra math questions for me thanks!
1 answer:
<h3>Explanation:</h3>
Given:
- total score is 63
- field goals score 3
- touchdowns score 7
Find:
- a linear equation representing the relationships given
- a graph of that equation
- combinations of field goals and touchdowns that give the score
Solution:
1. see above for what is given
2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.
The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.
Likewise, the total score from y touchdowns can be written as the term 7y.
__
The equation of interest is then ...
3x + 7y = 63
The graph of it, and its integer solutions, is attached.
Possible combinations of (field goals, touchdowns) are ...
(0, 9), (7, 6), (14, 3), (21, 0)
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Answer: 8.3
Step-by-step explanation:
To find the variance, you want to find the mean of the data.
Now that we have the mean, we find the difference between each data point and the mean.
3-5=-2
3-5=-2
8-5=3
1-5=-4
9-5=4
6-5=1
With the difference, you square each and find the average.
(-2)²=4
(-2)²=4
3²=9
(-4)²=16
4²=16
1²=1
The variance is 8.3.