Hello everyone. My name is Norman and although I'm asking specifically for help on one question now, I may have others later, so please don't get too angry at me if I start asking millions of questions. For now though, I have absolutely no idea in the name of heaven's sake how to do number 15 and would hope that someone on this nice little message board could direct their attention to me at some point before tomorrow at 11:30 a.m. EST. Thanks and see you all around.
The answer lies in http://www.nysedregents.org/testing/...tbkeyaug04.pdf
And it is number 15. Thanks for any help you or anyone else can offer.
.......since when we raised a number with a power to a power, we multiply the powers
........since when we multiply numbers of the same base, we add the powers
...........since when we divide numbers of the same base, we subtract the power of the base in the denominator from the power of the base in the numerator
which is choice 2
So to summarize everything you need to know for this problem:
I have a question about the January 07 Regents, number 5
the question: http://www.nysedregents.org/testing/mathre/b-107.pdf
i dont understand how i need to find the power of i when its higher than 4
i also have a quesiton with number 14
and for number 20 i got the right answer but i dont know how, i partially guessed. i found the other angle to be about 46 degrees so i knew that the other angle couldnt be a right angle. how would i find out the other angle for it? by using ambigous case? if so how do you do that?
and for number 20 i got the right answer but i dont know how, i partially guessed. i found the other angle to be about 46 degrees so i knew that the other angle couldnt be a right angle. how would i find out the other angle for it? by using ambigous case? if so how do you do that?[/quote]
recall, if and
are the roots of a quadratic equation, then (Can you tell me why?)
so we are told the roots are and
so, .......expand within the brackets
....now expand in general
we make a profit when (that's where the inequality comes from--do you see why it is an inequality?), so we simply must solve for that
But we have to check this! sometimes by solving inequalities, even if we do it correctly, the signs get messed up. check numbers in the different regions separated by the numbers 100 and 20. so you would check say, 19, 25 and 101. you will realize that our inequality holds when x is between 20 and 100. so our intial assertion was right.
Combining the two inequalities we had, we get which is the answer
I just remembered that Soroban and I did some problems from Aug 2004 before. including 31. see here for the solution to 31 and others
(BY the way, you guys really should attempt the problems on your own before viewing my solutions--it makes a whole lot of difference when you do that, since it gets your mind used to thinking about the problems and forming ideas)
....multiply both sides by
However, is extraneous (we see that it doesn't work when we plug it into the original equation), so the answer is just