Answer:
b or c I'm not for sure
Step-by-step explanation:
hope this helps
Clearly, alternative B
y = 0.01x + 7.5
y = (0.01)*5000 + 7,5
y = 50 + 7.5
y = 57.50
Multiply it out to get 5/7*1/9=5/63. This is an exact value of the product.
remember, you can do anything to an equation as long as you do it to both sides
we can do a subsitution
y=x+6
y=-7x-10
since y=x+6, we can subsitute x+6 for y in the other equation
y=-7x-10
x+6=-7x-10
add 7x to both sides
8x+6=-10
minus 6 from both sides
8x=-16
divide both sides by 8
x=-16/8=-2
the valu eof x that satisfies both equations is x=-2
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
