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:
13 centimeters per day.
Step-by-step explanation:
We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.
To find the water level increase rate per day, we will divide total increase by total days as:
Therefore, the water level increase rate is 13 centimeters per day.
Answer:
= 30 km
Step-by-step explanation:
12.5 * 240/100
<em><u>= 30 km</u></em>
. Which numbers are all divisible by 5? 1. 124, 333, 315, 266, 391 2. 135, 205, 330, 275, 365 3. 135, 211, 330, 274, 252 4. 232,
Ad libitum [116K]
Any numbers are ending with 5 and 0 can divide by 5
so answer:
<span>2. 135, 205, 330, 275, 365</span>
