Need help on #13-16 Thank you
2 answers:
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Answer: 8 hours
Step-by-step explanation:
Let x be the time taken by each person to paint the fence.
Given: Tom and Becky can paint Jim's fence together in 12 hours.
Since all people paint at the same rate, then we have the following equation ;-
Thus, the time taken by each person to paint the fence alone = 24 hours
Now, the time taken by all three paint together:-
Hence, it would take 8 hours if all three paint together.
Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
Answer:
Step-by-step explanation:
Residual value the difference between the observed value of the dependent variable and the predicted value is called the residual.
Residual , , where R is the residual value, O, is the observed value, and P is the predicted value. The sum and the mean of the residuals are equal to zero.
Now, we can see that the biggest <em>magnitude </em>of the difference is of and
is at the point
. (
)
Therefore, the point farthest from the line of best fit is the one whose magnitude of residual value is the most and in this case that point is .