<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
Answer:
2 1/2 I think
Step-by-step explanation:
you find the L.C.M for all the fractions and multiply it. You should end up with whole numbers.
It should look like this
2n+3n=2
n= <u>2n+3n</u><u> </u> = <u>5</u>
2 2
n= 2 1/2
A long time honestly.
roughly around 4 hours i would think
Answer:
x = 52, y = 26
Step-by-step explanation:
x - 2y = 0
40 - y = 14
(40 - 40) - y = 14 - 40
- y = -26
y = 26
x - 2(26) = 0
x - 52 = 0
x (- 52 + 52) = 0 + 52
x = 52
