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.
Okay. I'm sure you are familiar with the DST triangle, yes? It will help you solve this problem. Distance/speed = time. 382/64 = 5.96875. Round to the nearest hundredth to get 5.97 hours.
1570.29 Is what I came up with, though I'm not entirely certain. I just figured I'd give it a shot
Equation: 5x² - 3x - 14
= 5x² - 10x + 7x - 14
= 5x(x - 2) 7(x - 2)
= (5x + 7)(x - 2)
In short, Your Answer would be: Option B
Hope this helps!
Answer:
180-146=34 146+34=180
Step-by-step explanation:
