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Answers by Ben P.

This problem is set up very nicely for you. First I'm just going to point out a property of numbers.  When you multiply two numbers, the only way the product can be 0 is if at least one of the numbers is 0.  In other words if x * y = 0 then either x or y must also be 0.  (both...

In this problem it helps to express both equations as if they are lines.  In this case I prefer point slope form, so I'm going to express the first equation as: y = 2x + 1 (divide both sides by 2) and the second equation as: y = 2x - 3 (subtract three from both sides) Point...

The simple answer is that "adding" is basically "combining amounts."  Using the arabic notation we ultimately have to just remember certain things you can find an addition table here: http://1.bp.blogspot.com/_pflilF-BfLQ/SwWx91O6R0I/AAAAAAAAABY/Ga8SI_ALc3A/s1600/addition_table+copy...

I agree.  It depends on the word problem and it takes one of the hardest skills in math: translating english (or whatever language) sentences into mathematical symbols, doing the math, and then translating the symbols back into words and sentences that make sense.  There's...

The sample is biased towards farmers since the study was taken in a rural part of the state.  Of course it's going to look like more farmers need rehab when there are simply going to be a higher percentage of farmers near that center.  It would be more appropriate to look at the number...

Oh goodness gracious. So know that this is possible and doable and even kind of pretty.  It just is going to take a lot of steps as far as I can see.  I'm not going to do a step by step explanation right now because I don't think I have time tonight, but I'll give some pointers...

Interpolation is helpful whenever you have to scale things up or down. Maybe you know how much catering costs for an event with 10 people and also 50 people as well as 100 people, but you need an accurate estimate of how much catering will cost for 25 people or 75.  That's a useful thing...

A lot of things depending on what you are interested in.  Parabola are really useful for lighting.  The silver part of a flashlight is shaped like a three dimensional parabola because of some of the properties of parabola.  Similarly ellipsoidal lenses are also...

Optimization problems are essentially the epitome of being some of the most useful, semi complicated math topic for our day to day lives.  Say you are a writer, and you want to know what time of year is best to publish a book.  You could look at a single author's publishing history...

Box and whisker plot's can be a bit complicated depending on how detailed you want them to be. For every Box and whisker plot though there are at least 5 elements. The minimum value of data, the maximum value, the median and the first and third quartile's. The "box" part starts at the...

I am also going to make the assumption that the original problem was simplifying (5x + 11)(5x - 11) Just in case it is a little unclear as to why exactly something of the form (a + b)(a - b) = (a^2 - b^2) I'm going to use the foil method to show the same thing many people already have...

Here's another way you can think about it: Here we have a pattern: 3^3 = 27 3^2 = 9 3^1 = 3 To get from 27 to 9 we divided 27 by 3, to get from 9 to 3 we divided 9 by 3, so in order to follow the pattern we should also divide 3 by 3 to get to the next number. Which would be 1...

I, and many people on this site, should be able to help. Post one of your math questions and hopefully they will be answered.

-8(3a-5)=56a (answer)

I'm going to provide this answer just in case you need more basic understanding of the equation. So you said you were confused about this series of symbols: -8(3a - 5) = 56a because there is an equals sign in the middle, we call this series of symbols an equation, which means that the...

I tried to ask a question as a comment, but the feature wasn't working for me. This question is a little unclear. There are many different solutions to this problem. There is a finite number of solutions if a, b, c, and d must all be non negative, and an infinite number of solutions if a, b,...

Oh! But you're so close! 3(8x/3)^2 - 6x = 0 3(64x^2/9) - 6x = 0 64x^2 / 3 - 6x = 0 64x^2 - 18x = 0 2x(32x - 9) = 0 x = 0, 9/32 y = 0, 3/4 respectively so the two points are (0, 0) and (9/32, 3/4) using the second derivative test we can find that (0, 0) is a saddle...

Well, the constraint makes this problem pretty easy. The constraint says that the only values of x and y that are allowed in this problem must obey the equation x^2 + y^2 = 4. This also means that y^2 = 4 - x^2. Since y^2 = 4 - x^2 let us substitute 4 - x^2 for y^2 in f(x, y) giving us: f(x,...

This is an incredibly ugly problem. first let us assume that we look at every quadratic equation in the form a*x^2 + b*x + c so in this case a is 13, b is 81 and c is -7. Normally I would suggest looking at all the possible factorings of a and c, but in this case the only factoring...

Math Equation (answer)

So yeah, let's first translate this problem into symbols. "The blue container holds 4/3 of the amount the red container can hold" This means that b = (4/3)r since 4/3 of the amount the red container can hold is simply (4/3)r or 4r/3 since (4/3)r = (4/3) * (r/1) = (4 * r) / (3 * 1) = (4r/3) The...