Official Act Math Thread June 2013

<p>The question, I believe, was, “If a polynomial m is added to a polynomial n, and m has less terms than n, then which of the following expressions represents the maximum number of terms when m and n are added” . The answer is m+n. For example if m = x +1 (2 terms) and n = x^4 + x^3 + x^2 (3 terms), when you add them you get x^4 + x^3 + x^2 + x +1 (5 terms).</p>

<p>for the mulch one since it said 12 covers 2 i did 12*2 and divided it by 3 to find 8 square feet (volume calculation i think) so i believe that would have been…33 for that question?</p>

<p>I put m + n too and am pretty confident. the reason is that m and n are representing the exponents (raised to the 2nd power you have two values equaling zero) So when you multiply values that contain exponents you are adding the exponents themselves.</p>

<p>So far I’m at -4, not too bad yet</p>

<p>I put mn/2 as well but it was a complete guess.</p>

<p>it said multiplied and combined.</p>

<p>I think the answer to the m and n polynomial question is (K) mn, and here’s why:</p>

<p>Say you have polynomial #1 which is x^5 + x^4 which has m=2 terms.
You also have polynomial #2 which is x^3 + x^2 + x^1 which has n=3 terms.
Clearly, this satisfies the question and m<n.</p>

<p>So now, you multiply the two together and you get x^15 + x^12 + x^10 + x^8 + x^6 + x^5, which has 6 terms. mn=(2)(3)= 6. Therefore you get a max of mn terms. ANYBODY ELSE AGREE? Also, this was #54 right???</p>

<p>@superninja x^5*x^3 is only x^8 not x^15</p>

<p>I think it would only be mn if it was m^n for the question</p>

<p>What did you put for the trigonometric function that asked what the value of a was.</p>

<p>oh, right, sorry, my bad. However, i have another example!</p>

<p>(x^99 + x^50) (x^4 + x^2 + x)</p>

<p>when you multiply them you get
x^103 + x^101 + x^100 + x^54 + x^52 +x^51</p>

<p>BAM! 6 terms.</p>

<p>it wasnt m+n i think, i cant see how that would work. i put mn/2 lol came up with some weird logic</p>

<p>ferris wheel one was sinusoidal? yes?</p>

<p>@Superninja - That makes sense. dang I was just thinking whatever the highest exponent was.</p>

<p>If its constant velocity then it has to be a straight line (ap physics) so no</p>

<p>I put m+n for two reasons. one i thought they were trying to confuse you with all that unncessary info and two, when i was reading it over and over, all that came to mind was m+n.</p>

<p>I got sinusoidal. The constant velocity doesn’t affect the fact that the HEIGHT of the seats above ground go in a sinusoidal fashion.</p>

<p>The ferris wheel was sinusoidal. [Activity</a> Dealing with Trigonometry Functions](<a href=“http://jwilson.coe.uga.edu/emt669/student.folders/Jeon.Kyungsoon/IU/trig/F.wheel.html]Activity”>Activity Dealing with Trigonometry Functions)
Velocity is constant, yes, but the y-axis was height, not velocity.</p>

<p>what about the question that have a graph that looked like a hill followed by -1, -2 0 1 2 and told you the average height. I think the answer was 2.3 or 2.7. i put 2.3.</p>

<p>but then it said the ferris wheel had constant speed…so the height of the seats above ground should change at a constant speed so it should be a straight line</p>

<p>i understand how height changes like a sine wave but it had one that looked like the sinusoidal graph but it had straight lines…so you had to decide between curved or straight lines, and in that case why would it not be straight since it is constant speed</p>

<p>that wasnt a hill it was standard deviation of heights but yes thats the answer</p>

<p>i agree with shishdiddy, it did say constant. Also i dont think can grow expotentially or sinusoidally on a ferris wheel.</p>