The correct answer is 12/20.
If you multiply the numerator and the denominator of 3/5 by 4/4:
3•4 = 12
————-
5•4 = 20
Therefore, the equivalent of 3/5 is 12/20.
Please mark my answers as the Brainliest if my explanations were helpful :)
The final price of the jacket was $32.40 after both the 10% and 40% discount. The total discount is NOT equal to a 50% discount. When 10% off, the price was $54, bringing the next 40% off to a whole different number, not necessarily off the original price.
I don't know if that makes sense to you, sorry xD
Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
The answer would be A. 15mi
960 watts = 24 hours
4 days = 96 hours
960 (watts) x 4 (days) = 3840 watts
12 hours= 480 watts
6 hours = 240 watts
18 hours = 720 watts
3840 (4 days) + 720 (18 hrs) = 4560
