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.
200 x 150 = 30,000 to purchase
200 x 175 = 35,000 when selling
35000 - 30000 is 5,000 capital gain
The 4 is the tenth million place
Step-by-step explanation:
since the ratio of children to adult is 2:7,
2+7 = 9
number of children would be
(2 × 2700)/9 = 600 children in the crowd
number of adults would be
(7 × 2700)/9 = 2100 adults in the crowd
So, if a ticket costs £8 per adults, total cash made from adult
= 8 × 2100 = £16800
if a ticket costs £(8 - 3) per children, total cash made from children
= 5 × 600 = £3000
total money made = £(16800 + 3000)
= £19800
