WPP # 9 Unit L Concepts 4-8

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SP #6 Unit K Concept 10

For this problem we have to first set it up correctly, as I did; .17 , .0017 , .000017 (adding place holders to the numbers already used and not worrying about the numbers that don't repeat until the end) We also have to remember our formula S sub infinity = a sub 1/ 1- r

Fibonacci Haiku Food

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Tasty

Food

All day

Just for me

No I won't share it

So stop asking and go get your own 

SP #4 Unit J Concept 5 Partial Fraction Decomposition

   For our first part, we have to find our common denominator. When we distribute, we have to multiply the bottom as well as the top by the same thing. Then we combine our like terms and we should end up with 6x^2 -5x -10/(x+1)(x+2)(x-2)

 

Next we have to set our variables and multiply to get the common denominator. Then we combine our terms and set it equal to our previous answer.

Then we set up our systems as matrices and use the rref option on our calculator. We should get these three answers.

This is the answer that we should get in the end. We should notice that this is the answer that we started with. WE should be careful when we are combining all of our like terms.

SV #5 Unit J Concepts 3-4

The trickiest part to remember is when we have to do back substitution, we have to place the numbers in the correct spot and also with the correct sign.

WPP #6 Unit I Concepts 3-5

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SV #4 Unit I Concept 2

Some tricky things about this problem are finding the asymptote, we have to remember that x is equal to h. And also when we are solving for x we set y equal to zero. We should also remember to place parenthesis when we plug this into our graphing calculator or else we'll end up getting a different answer.

SP #3 Unit I Concept 1

The trickiest part of this problem is finding the x and y intercepts. We have to remember steps learned in previous units such as exponentiation and  using the change of base formula.

SV # 3 Unit H Concept 7 Finding logs Given the Approximation

In this video I will show you how to properly solve this problem. We know for that other clues which aren't given we can use log9 9 and get 1, we can also do log9 1 and get 0. We cannot forget to use these clues because we need them when we break down the larger numbers. We should also remember that all of our negative numbers will become denominators and our positive numbers will be numerators when it's condensed.

SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function

This problem is about finding the asymptotes of an equation and being able to locate the points on the graph. We also learn how to find the holes in the graphs if it has any. We found the domain, x-intercept, and y-intercept and key points.
The viewer needs to pay special attention to the highest degree on the denominator and numerator this will tell us what kind of asymptotes our graph will have.

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

The first thing we have to do is find our possible zeros, to do this we do the p's and q's and then put our p's over the q's. From there we do Descartes' rule of sign bringing down the signs of each number and then to find the negatives we keep the signs with even degrees the same and the ones with odd degrees change. We see what the change is and then that's how many positive and negative zeros we'll have.
Now we can start doing our synthetic division until our function's highest degree is a square. From there we use the quadratic formula and find our last two zeros. Now we have all of our zeros and we chack if there's four and our highest degree if four so that tells us we have enough.

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

First we have to take our zeros, since we started with them for this problem, and multiply them in order to get our equitation. Then we look at the highest degree in the equation to find out if its even or odd, in our cases it 4 so its even. Then we look at the coefficient and check if it's positive or negative in our case its +1. This means our end behavior is even positive, which goes towards positive infinity on both ends. To find the zeros we just make our factored equation equal to zero and solve individually. And to find the y-int we just let all the x's in our equation equal zero and we're left with -6.

We plot our zeros and we have to remember that M 1 means that it goes through and M 2 means that it bounces off of the point.We also should remember to plot our y-int and to make sure our end behaviors match with what we decided earlier. 

WPP#4: Unit E Concept 3 - Maximizing Area

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WPP#3: Unit E Concept 2 - Path of Softball

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SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts

First we take our equation and subtract 4.  Next we can factor out a 2 and we have to do this to both sides. To find our "square we have to take b and divided it by two and then square it. When we do that we get 16. Then we figure out that x^2 -8x +16 can factor into x-4^2.
From here we can use this to graph and so love. To solve we have to divide by 2 and then take the square root. We have to remember to make it plus and minus.
To graph we Take our vertex which is positive 4 and negative 28. We look at our vertex to find the axis, and we let y equal 0 to find the y-int.