ElectricPavlov

Hmmmm.... I count 45

  here is the graph....see how many YOU count:

https://www.desmos.com/calculator/4lfwy8ooen

2(x - 4)^2 + 8   expanded =  2x^2 -16x + 40         so a = 2 b = -16   c = 40

then   6x^2 -32x + 3     will become  ( by completing the square for 'x'      6 ( x^2 - 16/3 x) + 3

                                                               6 ( x- 16/6)^2    - 167  2/3        <======== take it from here

 4(a+6) >= -5(a+3)    expand both sides

4a + 24 >= -5a - 15   add 5a   and subtract 24 from both sides

9a >=  -39       divide both sides by 9

a >= -39/9       <=======reduce fraction if needed

The only product that will be negative is     negative  X  positive

     there are 3 negatives and 4 positives

       3 x 4 = 12 negative products            

    out of   21 possibles    < ======= You can finish 

Area of the parallelogram =  b * h =   21 * 16          (EG is the height)    HF is a smoke screen in this problem....not needed.

If EQUILATERAL triangle Z has a perimeter of 30, then each side (AX) = 10

  If FLAX is equilateral, all of the sides are = 10       

                           Area = side * side = 10* 10 = 100 units ²

See image below :    (check my numbers+)

The diagonal forms a 36 . 0273 angle      folding it over produces a further reduction of 36.0273  of the 90 degree angle in the corner

   resulting in an angle of the single paper of   17.9453 degrees

you have ONE side of the triangle already  :  8      

     now you can use the tan funtion to find x        then the are of the single thickness (one of them) is 1/2  8  * x

80 x80 = 6400 m^2 / hour

(40 *60)/6400 = _________ hours

Maximum height will occur at TIME = -b/2a  = -48/(2*(-12)) = 2 seconds

   Use this value of x in the equation to calculate the height .....

Did you graph the points?   Can you post your graph?