Answer:
Step-by-step explanation:
We have been given that Courtney had 15 hits in 60 at bats.
We know that batting average can be determined by dividing hits by number of at-bats.
Therefore, Courtney's batting average is 0.25.
We are already told that Katie's average was 0.300. Therefore, Katie's batting average is 0.300.
We have been given that Sara got a hit 32.5% of the time. To find Sara's batting average, we need to convert 32.5% into decimal as:
Therefore, Sara's batting average is 0.325.
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.