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The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Answer:
2 percent
Step-by-step explanation:
We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.
Now cross multiply.
x will be removed.
Simplifying this fraction will get you 
, which in percentage form, will be 2 percent.
Answer:
-2
Step-by-step explanation:
24 - 4x =32
-4x =32 - 24
-4x=8
x=-8 :4
x=-2
40.2 - 13.7 = 26.5
26.5 / 13.7 * 100 = 193.43
answer
193%
