The axis of symmetry can be found by finding the average of the zeros, a derivation from the conservation of energy :P, or by finding the point when the velocity is equal to zero.
df/dx=-6x+12 so df/dx, velocity, equals zero when:
-6x+12=0
6x=12
x=2 so the axis of symmetry is the vertical line x=2
....
average of zeros...
3x^2-12x+6=0
x^2-4x+2=0
x^2-4x=-2
x^2-4x+4=2
(x-2)^2=2
x-2=±√2
x=2±√2 so the average of the zeros is obviously 2.
....
conservation of energy
vf-vi=at When vf=0, this is the maximum value for f(x)...
-vi=at, vi=b and a(acceleration)=2a(from quadratic) and t=x
-b=2ax
x=-b/(2a) in this case
x=-12/(2(-3))
x=-12/-6
x=2
The difference between the ratio 5:3 is 2 ( 5-3 = 2)
Nick gets 2 extra shares which is equal to £26
1 share = 26 / 2 = 13
June gets 3 shares: 3 x 13 = £39
which # do you whant the answer to
Answer:
y=-2x+1
Step-by-step explanation:
to find the slope use the formula (y2-y1)/(x2-x1)
-5-3= -8
3-(-1) = 4
-8/4 = -2
