ElectricPavlov

Vertex (-4,0)

Vertex form     y = a ( x+4)^2 + 0

                      sub in the point (1,75) to calculate 'a'

                           75 = a ( 1 +4)^2      so a = 3

-4.9t^2 + 18t - 0.4  > 6

-4.9t^2 + 18t - 6.4 > 0      use quadratic formula to find the two t values     subtract the smaller from the larger

s+c = 50

6s + 1c = 115   subtract bottom equation  from top equation

-5s = -65

 s = 13   sandwiches         then   13 + c = 50    means  37 chips

vertecx form of parabola with vertex ( 2,4)

y   =  a ( x-2)^2 + 4     sub int e point given (-1,-1) to calculate the vlaue of 'a'

-1 = a ( -1-2)² + 4

-1 = 9a + 4

-5 = 9a

a = - 5/9

so the equation becomes    y =- 5/9 (x-2)^2 + 4     expand to get into the reqested form

                                            y = - 5/9 x^2 +20/9 x + 16/9   

15 seconds is 90^o on the clock face

   this is  1/4 of the total circumference

circumference = 2 r pi

    2 r pi * 1/4 = 2 cm

         r = 2cm / (2 pi)   * 4 = 1.3 cm

2x^2 -7x+2 = 11x -15

2x^2-18x+17 = 0      Quadratic formula shows   roots = 7.92783  and 1.07217

plugging into   1/(a - 1) + 1/(b - 1)

  = ~ 14

See image below

d ( tan 2 + tan4 ) = 400

d = 3815 ft

8/11 x = t        3/11 x = c

(8/11 x - 14) = 3/5 (x-14)

(40-33)/55  x = 14 - 3/5 ( 14)

7/55  x = 28/5

x = 44 pounds initially       8/11 (44 ) = turkey = 32 pounds initially     3/11 (42) = chicken = 12 pounds

pi/4 = .25 pi

13 pi + .25 pi = 13.25 pi     ( or  13 1/4  pi)