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  1. C

    Uniformity of units in a quadratic function

    There is a sample word problem in a textbook about creating a quadratic function in vertex form to model the word problem. I understand solving the problem, however, what I do not understand about the example is when only the variable "k" is converted from inches to feet, while the variable "a"...
  2. C

    Different arithmetic based on the presentation of an equation

    I have an expression in which I am not sure which way to translate it, in order to solve it, it is the following: \frac{-5}{-5+25} \frac{-5}{20} -\frac{1}{4} The arithmetic above gave me a correct answer in my question, however I looked at the expression again and wondered if there was...
  3. C

    Distribution

    \frac{y-6}{4}-\frac{2y+5}{2}=-7 (4)\frac{y-6}{4}-(4)\frac{2y+5}{2}=(4)-7 Where I have an issue: ()I don't know whether to distribute [MATH(2)][/MATH] or (-2) to the (2y+5) (How do I decide what to distribute?) y-6-(2)2y+5=-28 What I want to do it, but I get a wrong answer: y-6-4y+10=-28...
  4. C

    Simplifying a binomial

    I have the following binomial fraction: \frac{6x+12}{6x-5} Why can I not simpliify this equation by canceling out the 6x on the top and bottom, then only be left with \frac{-12}{5}? Whatever the value of 6x is, shouldn't I be able to cancel it out? Why am I not allowed to cancel it out? I...
  5. C

    Rules for when you can "do one thing to one side of the equation and the other"

    I was solving the following problem, but am unsure if it is ok to solve it the way I am doing it, because I am afraid that I am changing the content of the answer. Here is the problem I was working on: Solve for v, where v is a real number. √8v-11 = √6v+9 What I would do to solve this...
  6. C

    Compute unit circle coordinates (cos,sin) from given degree/radian?

    Hi, is there a way to mathematically come up with coordinates in a unit circle from a given radian/degree reference/coterminal angle? For example, if I am given a 30 degree angle I can look up a unit circle diagram and see that it's corresponding unit circle coordinates are (√3/2, 1/2), but is...
  7. C

    Confusion on simple division arithmetic

    I'm a bit confused as to what the answer to the following problem is: 4/x (1/4) Is the answer 1/x OR 1
  8. C

    Finding the intersection of two interval notation sets: [1, ∞) & (-∞, 8)

    Finding the intersection of two interval notation sets: [1, ∞) & (-∞, 8) What is the intersection expressed in interval notation of two interval notation sets. The sets are the following: [1, ∞) & (-∞, 8) . My answer is [1,8) . Is this correct? My textbook does not have answers, lol.
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