<p>Can someone explain this one? The answer is E</p>
<p>And this one too. I don’t understand how to do it. (or really the question for that matter) Thanks</p>
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<p>I approached this question by just plugging in random numbers and seeing if they work…guess and check. So it says for (w, y) where w>1, how many different numbers can w be so that the expression is equal to 4. so start with 2…plug 2 in for w and 1 in for y and you will see that it equals 4. Then try 3…and then 4…and then 5…etc… You will find that x can equal any natural number, and the expression will always equal 4…so teh answer is E.</p>
<p>k so for the second question, it says that there are 24 scarves in 24 boxes…one in each box. There are four different colors, and six scarves of each color. So, it asks how many boxes do you have to open to make sure that you have 3 scarves of the same color. The answer is E (9) because the ‘worst’ case scenario is when you get all scarves different colors…so you pick 4 and they are all different. Then you pick another 4, so now you have 2 scarves of the same color, 8 scarves in total. then you pick another one, and it has to be one of the 4 colors.</p>
<p>ok thanks a bunch =p</p>
<p>Here’s the math for the first 1:</p>
<ol>
<li>w X 1 = 2^(w + 1) / 2^(w - 1) = 2 ^ (w + 1 - (w -1)) = 2^(w + 1 - w + 1) = 2^2 = 4</li>
</ol>
<p>It is true for all W.</p>