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
Answer is D. 14
3 times 6 is 18 and minus 4 is 14
Boston would be 8 inches away on a map from WQ, because the library is in between Boston and WQ, and the library is 4 inches away from Boston, so, logically, it would be about 4 inches away from WQ, too.
Thus, Boston is 8 inches away from WQ.
Answer:
2
Step-by-step explanation:
Given expression:
y^2 - 5y - 4
y = 6
Substitute y = 6 into the expression
y^2 - 5y - 4
6^2 - 5(6) - 4
(6*6) - (5*6) - 4
36 - 30 - 4
36 - 34
2
The value of the expression y^2 - 5y - 4 is 2 when y = 6
Answer:
b
Step-by-step explanation:
