The fibonacci sequence is an equation. The equation is Fn=Fn1+Fn2. (0,1,1,3,5,8,13,21,34) This sequence was used in a couple of movies. ( Pi, 21, and The Da Vinci Code)
To solve this you take the number being square rooted and divide it by the smallest number possible. As seen in the picture the number is divided by 2 down to 250 and again to 125. After that it no longer can be divided by two so now we go to 5's. When you get to one you're done. To get the answer circle pairs of two. There is a pair of 2's and a pair of 5's. So you multiply 2 by 5 to get 10 and the left over 5 stays in the square root.
The first step to finding an inverse function is to switch the F(x) to y. The second step you replace all x's with y's and all y's with x's. After that you solve the function. To see if they are inverses you take the answer of the function you just solved and put it in for the x of the original function. If they equal each other they are inverses.
Xy * Xz = Xyz This will sometimes be true because in exponents if you multiply two terms the exponents are added. In this equation the exponents are not alike so in your answer you put the two unlike exponents next to each other. Although if you put numbers in for the exponents you would add them together.
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Quadratic presentation Factoring is difficult but at the same time simple if you know what you're doing. Here is an equation the first thing you have to do is divide by x but only when all numbers have an x. Secondly you have to factor the rest of the equation.
x3 + 3x2 - 54x = x(x + 9)(x - 6) All you are really doing is the reverse of the foil method and if you're not sure if your right refoil the answer. The difference between factoring and solving is factoring doesn't tell you what x='s but solving does. Putting the equation in desmos is the easiest way obviously. Substitution is in my opinion the easiest between the two ways. Example: 5x+4y=10 <------ this is the equation we're are putting in y=mx+b| -3x-5y=7 Elimination is the one I have the most trouble with. Example:
5x+4y=10 -3x-5y=7 With elimination you want to try to get rid of one of the terms. If you add a positive number in the equation after the function it will move to that spot on the y-axis. If you subtract a number after the function it will move down on the y-axis.
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