SP#6: Unit J Concept 10 - Writing a repeating decimal as a rational number using geometric series

In order to fully understand this problem, we must pay attention to the repeating numbers. For example, in this problem, out repeating numbers are 24. We must remember to ignore to 10 (number in front of the decimal) and remember to add it in the end. We must always remember that we can only add fractions together if they have the same denominator. Other than that, the problem should be pretty clear. :) Thanks for viewing. :)

Fibonacci Beauty Ratio

Friend’ s name	Foot to Navel: 97.5 cm	Navel to top of head: 62cm	Ratio: 1.573cm	Average:
Alexis	Navel to chin: 43cm	Chin to top of head: 20cm	Ratio: 2.150cm	1.562cm
Tran	Knee to Navel: 50cm	Foot to navel: 47cm	Ratio: 1.064cm

Friend’ s name	Foot to Navel: 103cm	Navel to top of head: 59cm	Ratio: 1.746cm	Average:
Judith	Navel to chin: 41.5cm	Chin to top of head: 20cm	Ratio: 2.075cm	1.649cm
Q	Knee to Navel: 54cm	Foot to navel: 48cm	Ratio: 1.125cm

Friend’ s name	Foot to Navel: 102cm	Navel to top of head: 68cm	Ratio: 1.5cm	Average:
Brian	Navel to chin: 45cm	Chin to top of head: 21cm	Ratio: 2.143cm	1.582cm
C	Knee to Navel: 54cm	Foot to navel: 49cm	Ratio: 1.102cm

Friend’ s name	Foot to Navel: 97cm	Navel to top of head: 59cm	Ratio: 1.644cm	Average:
Janet	Navel to chin: 41cm	Chin to top of head: 18cm	Ratio: 2.278cm	1.69cm
Garcia	Knee to Navel: 53cm	Foot to navel: 46cm	Ratio: 1.152cm

Friend’ s name	Foot to Navel: 88cm	Navel to top of head: 66cm	Ratio: 1.33cm	Average:
Gloria	Navel to chin: 45cm	Chin to top of head: 21cm	Ratio: 2.143cm	1.498cm
Garcia	Knee to Navel: 47cm	Foot to navel: 46cm	Ratio: 1.022cm

My most beautiful friend, according to the Golden Ratio, is Judith. The Golden Ratio is 1.618 and her average was 1.649. The other 4 people I measured were not far from the Golden Ratio. However, Juditth and everyone I measured are beautiful, but I do not think this is accurate. I think everyone is perfect in their own way, therefore I do not believe this is correct. It was a fun activity to do though. :)
 

Google

Haiku

Drake

Cutie

Future Husband

I love him

Bright and perfect white smile

Too bad he doesn't know who I am

(Picture taken by Adrie)

SP #5 Unit J Concept 6 Repeating Factors in Fraction Decomposition

In order to fully undertand this problem, we must pay attention to replace the numerator by A B AND C. We also have to find the lowest common denominator and multipy both top and bottom to get the LCD. Then we have to remmeber to cross out the variables when solving through.

SV5: Unit J Concepts 3-4

In order to fully understand this video, you must know how to use the graphing calculator to check answers. I did not completely show every step, only the end. Also, we must know how to back substitute, both of my equations were already given but its not always like that. THANKS FOR WATCHING.

WPP # 6, Concept I Unit 3-5

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SV #4; Unit I Concept 2; Graphing Logarithmic functions and identifying x-intercepts, y-intercepts, asymptote, domain, and range

In order to understand this concept, we have to pay attention to certain points. To start off with, we must remember that the asymptote = h, and that is where it will go along the x line. While solving the y intercept, we must make sure that we use the change of base to figure out y. Everything else should be pretty clear. Thanks for watching.

SP# 3: Unit I Concept 1: Graphing exponential functions and identifying x-intercept, y-intercept, asymptotes, domain, and range

The viewer needs to pay attention to certain points in order to fully understand this concept. For one, there can not be a x intercept if there is a negative because how can we take the natural log of a negative? Also, we must remember from previous chapters that x=0, and y=0, and we can find the x and y intercepts. Also, the domain will usually be all real numbers, meaning -infinity to +infinity. Lastly, we should remember that when looking for the asymptote, y=k. THANK YOU.

SV#3: Unit H Concept 7 - Finding Logs Given Approximations

Pay close attention to a couple different things in this video. First, notice how the "4" is used replaced to one because log base 4 of 4 is 1. Also, the 5 is being subtracted because it's the denominator in the original problem. Also, the 2(k) is there because 9 breaks into two 3's. Thanks for watching. :)

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

This problem is about asymptotes. In this problem, because the number on top is 1 degree bigger, it is a slant asymptote. Here, I will show you how to find the Vertical asymptote, holes, domain, x & y intercept, and how to graph. :) enjoy.
Pay special attention to the y=mx+b equation because that will lead our slant. Also, make sure to plug in the equation to your graphing calculator when finding the vertical asymptotes.
Thank you.

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

This problem is about finding real and complex numbers. Here, we find out how to find the zeros of an equation. The zeros can be real or imaginary, here's an example of imaginary zeros.



Pay special attention to how I plug in the zeros to the calculator. Also, pay special attention to my final answer because it can be written 2 different ways. Other than that, I explain every step of the way. :)
THANK YOU FOR WATCHING/LISTENING FOR 14 MINUTES.

WPP#4: Unit E Concept 3 - Maximizing Area

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

This problem is about graphing polynomails, including the x and y intercept (with multiplicities), end behavior. 

To begin with, I factored out the equation above which lead me to my zeros. My original equation was to the 4th power which means I need 4 zeros. When i factored out the equation, I ended up with 4 zeros. Also, since the original equation started with "x^4" (both positive = even positive) the graph will be going up whether it's going to infnity or negative infinity. We find the y-intercept by setting "x" to 0 in the original equation. After all that, we plot all the points given, and make sure the graph is going upwards both ways. :)

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

This problem is about identifying x-intercepts, y intercepts, the vertex, the axis of quadratics and how to graph it. Here's an example where I used my own example. 

To begin with, my problem was f(x)=2x^2+4x-16. I subtracted 16 on both sides which gave me 2x^2+4x=16. I then took out the coeficiant which is 2 and added it to the other side as well, and it gave me 2(x^2+2x)=16+2. After, I divided "b" by 2 which is 1 and squared it which is 1 and added 1 to both sides. I ended up with 2(x^2+2x+1)= 16+2(1). KEEP IN MIND THAT "2(x^2+2x+1)" FACTORS OUT. 2(x+1)^2=18. Subtract 18 over and we have the parent function equation which is 2(x+1)^2-18. The vertex is a minimum and is (-1,-18). To find the y intercept, we would need to set "x"=to 0 in the original equation which makes it (0,-16). The axis is "x=-1" because of the vertex. Now to find the x intercepts, we just need to solve, "2(x+1)^2=18" :)

WPP#3: Unit E Concept 2 - Path of Soccer Ball

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WPP#2: Unit A Concept 7 - Profit, Revenue, Cost

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WPP#1: Unit A Concept 6 - Linear Models

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