The Purplemath Forums

I don't mean to bump an old thread, but I would start off by realizing that the ones digit of the square root has to be 3 since it ends in 9. Look at the following: 0² = 0, 1² = 1, 2² = 4, 3² = 9, 4² = 16 (ends in 6), 5² = 25 (ends in 5), 6² = 36 (ends in 6), 7² = 49 (ends in 9), 8² = 64 (ends in 4)...

Question: \frac{5+\frac{x+3}{x-1}}{\frac{3x-1}{1-x^2}} I'm guessing I have to get rid of the fractions by multiplying by the LCD, but I feel like I am missing a step in even getting that. I would be inclined to start like this. Keeping in mind that \frac{\frac{a}{b}}{\frac{c}{d}} = (\frac{a}{b}...

x - \frac{x-1}{\frac{x}{x+1}} The book gives an answer of \frac{1}{x} . This is probably very simple problem but I really don't understand how to workout a problem like that. I would appreciate if anyone would like to show the steps involved getting to that answer and maybe point to a related lesso...

(\frac{2(3x-1)}{x-1})(\frac{(1-x)(x-1)}{3x-1}) Can I cancel out both (x-1)'s and (3x-1)'s at this point? Would 2(1-x) be the wrong answer? You're right. It should go: (\frac{2(3x-1)}{x-1})(\frac{(1-x)(x-1)}{3x-1}) (...

I prefer the "magic number" way of factoring trinomials since the people I've worked with have seemed to understood it better that way. If your trinomial is in the form of ax² + bx + c, then you find two numbers that multiply to give you the product ac and that add to give you b. With your...

With 76-?/2=41, you would write the equation out as 76 - x/2 = 41 and solve for x. Note that there are no parentheses around the 76 - x part, so the first thing you would be doing in the problem is dividing x by 2. I would start out by subtracting 76 from both sides: 76 - x/2 = 41 76 - x/2 - 76 = 41...

Start off by simplifying everything that you can. Maybe try multiplying out the -2(4x-1) part? :) (x + 5) - 2(4x - 1) = 0 x + 5 - 8x + 2 = 0 Don't forget that you have to multiply out by -2 instead of just 2, so you'll get -8x + 2 instead of 8x - 2. From there, you can simplify some more and try to ...

It's not as difficult as it might sound to list out all of the possible factors to see what they add up to. Suppose we have: 8x² + 24x + 10 So you're looking for two numbers that will multiply to give you 80 and that add to give you 24. Let's look at the factors of 80 by just starting at 1 and seein...

When factoring 3x² - 14x + 8, you'll need to find two numbers that multiply to give you ac while adding to give you b. In this case, ac = 3(8) = 24 and b = -14. We'll want to look at negative factors of 24 since we need them to add up to a negative number: -1 -24, sum = -25 so that's not it -2 -12, ...

This is really just a ratio question.

"in 2008, 565650 Americans died of (all form of) cancer. Assuming a population of 305 millions, what was the mortality rate in units of deaths per 100000 people?"

You could set this up as 565650/305000000 = x / 100000 and go from there.