Mrs. Gay 5th Hour by Lynn Gay https://padlet.com/lgay4/e47jzck8j63s Criterion C en-us 2018-10-19 18:09:51 UTC 2025-12-19 15:00:59 UTC hello@padlet.com The Math Team https://padlet.com/lgay4/e47jzck8j63s/wish/295517304 Paul Silaghi         
Zane Morsy
Andrew D'Agostino
Elizabeth Muchnik

 The length of a garden can be represented by the monomial 3x^2 and the width can be represented by the binomial 
2x-1. If owner of the garden wants to designate an area, with a length of 2x^2 and a width of 
x-0.5 for growing strawberries, how much space is left in the garden?

= 3x^2(2x-1) - 2x^2(x-0.5)
= 6x^3-3x^2 - 2x^3+x^2  
= 4x^3 - 2x^2




]]> 2018-10-22 15:35:43 UTC https://padlet.com/lgay4/e47jzck8j63s/wish/295517304 Exponent Puff Girls West Virginia https://padlet.com/lgay4/e47jzck8j63s/wish/295529090 Insiyah Kapadia
Eller Studinger
Micheal Chen
James Judge
Nadir Mostafa

Question: Nadir finds that the x-ints are (cbrt(-⅓), 0) and (2, 0) and the degree is 6.
Is Nadir’s answer correct? Explain your reasoning and if there is a mistake, give the correct solution.
Equation: f(x) = 6x6-22x3-8

Answer:
  1. First, check the answer.
  2. The degree is correct because the highest exponent is 6.
  3. Now, factor out the equation.
  4. Set it to 0
  5. 0 = 6x6-22x3-8
  6. Use the ac method to do Factor by Grouping
  7. 0 = 6x6-24x3+2x3-8
  8. 0 = 6x6-24x3+2x3-8
  9. 0 = 6x3(x3-4)+2(x3-4)
  10. 0 = (6x3+2)(x3-4)
  11. 0 = 2(3x3+1)(x3-4)
  12. Solve for the solutions
  13. 0 = 3x3+1  0 = x3-4
  14. -1 = 3x3   4 = x3
  15. -⅓ = x3    cbrt(4) = x
  16. cbrt(-⅓) = x
  17. These are the solutions.
  18. Nadir’s solutions are partially correct.
  19. His error is with the step 4 = x3. The error made is that he square rooted instead of cube rooting.
  20. This is true because when  solved, the roots of cbrt(-⅓) = x and cbrt(4) = x are the solutions. Also, it is evident that he square rooted instead of cube rooting.


]]> 2018-10-22 15:52:59 UTC https://padlet.com/lgay4/e47jzck8j63s/wish/295529090 Team Algebra https://padlet.com/lgay4/e47jzck8j63s/wish/295530643 Ali Farooqui
Jay Bala
Rachel Runk
Jordan Jones
Mouhamad Sabbaq

Question: You have 50 fish, and they need 800in^3 in the tank in order to survive. Find the volume of a fish tank whose base has an area of 2x^2 + 10x + 25 and a height of 5x + 10.  Let x = 2 inches, and determine if those dimensions are going to be enough.

Answer
(5x+10)(2x^2+10x+25)=10x^3+50x^2+125x+20x^2+100x+250
=10x^3+70x^2+225x+250
X is 2 inches,
=10(8)+70(4)+225(2)+250
=80+280+550+250
=360+800
=1160 in^3
]]> 2018-10-22 15:54:43 UTC https://padlet.com/lgay4/e47jzck8j63s/wish/295530643 Feed me Pi https://padlet.com/lgay4/e47jzck8j63s/wish/295532890 Lauren Ro 
Connor Greig
Deema El-Baba
Noah Roslin

Question:  
Noah moved into a new house and he wants to build a fence for his backyard. His backyard is a rectangle, the a length in terms of x is 3x^2 + 5x - 2 and the width is 5x^2 + 2x + 3, what is the perimeter of Noah’s backyard? 

Answer: 
2l + 2w = P 
P = 2( 3x^2+5x-2) + 2(5x^2+2x+3) 
P = 6x^2+10x-4 + 10x^2+4x+6 
P = 16x^2+14x+2 
P = 2(8x^2+7x_1) 
]]> 2018-10-22 15:57:39 UTC https://padlet.com/lgay4/e47jzck8j63s/wish/295532890 Varsity Math https://padlet.com/lgay4/e47jzck8j63s/wish/295544236 Katherine Smith
Gabi Yakovlev 
Cami Krugel
Suraj Padi

Question: While creating a roller coaster, the engineers need to find where the roller coaster will touch the ground and bounce back. This roller coaster has the equation f(x)=x(x-3) (x-2)^2
  1. Find the x intercepts of the equation and plot on a graph. 
  2. Now write end behavior in limit notation (if the roller coaster was to go on forever in to the ground).

Explanation: To find the x intercepts of the graph, separate the equation into 3 separate parts based on the terms in the parenthesis. They will be y=x, y=x-3,and y=(x-2)^2. Set y equal to zero in all of the equations. When 0=x, the x will be 0. When 0=x-3, remove the 3 from the right side by adding it to the left. The answer will be 3=X. Finally square root both sides in 0=(x-2)^2.  The answer will be 0=x-2. Add 2 to both sides sides so x=2. This one will be a double root because the numbers were square rooted which gives you 2 answers. The x intercepts will be 0, 2(double root), and 3. Plot these points and graph the graph according to the root numbers. Since this is a real world equation, in reality the range would stop at 0. 
If the graph went, to negative infinity you should have the left side going to negative infinity as well as the right side. You could have found this from the equation by looking at the power (even) and the leading coefficient (positive). The limit notation of this would be:            
                                              Lim          f(x)->-∞
x-> ∞
Lim          f(x)->-∞  
x->-∞                                               
]]> 2018-10-22 16:14:34 UTC https://padlet.com/lgay4/e47jzck8j63s/wish/295544236