Equation- X-6
(X+6) (X+8) To solve the equation you would make X+6 zero and X=8 zero by getting X=-6 and X=-8. Now you have a hole and a asymptote. X=-6 and X-6 is the hole because it's the same. X=-8 is the asymptote. Holes and Asymptotes are the same because they both make up the denominator. Mr. Kelly's method is wonderful! For the square root of 500, Mr. Kelly's method turns in into 10 square roots of 5, which is a better answer. The first step to reduce radicals is to divide by the smallest number until you hit one. Since this is a square root, put the similar numbers that you divided by into groups of two. Every complete set of two is multiplied together and placed outside the radical, then the incomplete sets are multiplied together and placed under the radical. This simplified radical is better than using your calculator because it is an exact answer. Sometimes it is better to use your calculator, like when you are taking house measurements. It is better to have decimals places than radical signs.
To find the inverse of a function, first you need to switch the x's and the y's and then solve for y. You can verify if two equations are inverses of each other if they both equal x. If they don't equal x then they are not a function.The equation we are trying to factor is x3=3x2-54x. First you need to divid each term by x so you don't have as many variables. After that you have x2=3x-54. Now you need to find two numbers that multiplied together equal -54 but added together equal 3. Once you figure out what two numbers they are (9 and -6) then the answer is x (x+9) (x-6) and you can use the FOIL method to check your answer. Factoring and solving are related because you use factoring to solve an equation. There are 3 ways to solve 2 equations with 2 unknowns. One way is graphing the two equations and look at which point they intersect. The second way in by substitution. The way substitution works, you solve one equation the best you can. Once you get this far you plug your product of the first equation into the second equation and solve then plug it into the first equation for the unknown and solve. The last way is by elimination. With elimination, all you do is subtract the first and second equations from each other as far as you can and then solve. My favorite way to solve these types of problems is by graphing. Graphing seems to be the easiest and fasted way to do it. If that didn't help there is also the worlds fastest video on this matter below! |
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May 2015
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