A. Not collinear. P, B and S do not fall on the same line. P and S do, but B does not
B. Not collinear. The points M and N are on the same green line but S is not on the same line
C. Collinear. The points P, A and Q all fall on the same gold horizontal line at the center of the image.
D. Not collinear. Like with choice B, M and N fall on the lower green line, but P is not on that same line
E. Collinear. All five points E, D, A, B, S all fall on the more vertical blue line
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Final Answers: choice C and choice E
Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
9x^+11
I believe this is the answer
s = hours it takes the small pipe on its own.
L = hours it takes the large pipe on its own.
we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?
well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.
we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.
in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.
and you can round that up as needed.