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 x)/15
Step-by-step explanation:
Simplify the following:
(4 x)/5 - (2 x)/3
Put each term in (4 x)/5 - (2 x)/3 over the common denominator 15: (4 x)/5 - (2 x)/3 = (12 x)/15 - (10 x)/15:
(12 x)/15 - (10 x)/15
(12 x)/15 - (10 x)/15 = (12 x - 10 x)/15:
(12 x - 10 x)/15
12 x - 10 x = 2 x:
Answer: (2 x)/15
If you are using a calculator, simply enter 16÷72×100 which will give you 22.22 as the answer.
Answer: 6
Step-by-step explanation:
3/1=3
2/4=0.5
3/0.5=6
Answer:
62.5
Step-by-step explanation:
speed = distance / time taken
= 125/2
=62.5miles per hour
