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:
400 meters in 3 minutes
Step-by-step explanation:
First find how far she can walk in 1 minute.
3200/24 = 133 1/3.
She can walk 133 1/3 meters in 1 minute. If we want to find out how far she can walk in 3 minutes. Multiply that number by 3.
133 1/3 * 3 = 400.
Hope that helps.
Answer:
Choice C is the answer.
Known information:
a = adult $
s = student $
We have 2 adults and 3 students.
Step-by-step explanation:
To find the total price of tickets given a # of students and adults, multiply a by the # of adults and multiply s by the # of students. Therefore, it would look like this:
2a + 3s = price
Therefore, choice C is the answer.
Hope this helps!
let
(hypotenuse ) c = 10 in
(perpendicular) a = 8 in
(base) b =?
By using Pythagoras theorem
c^2= a^2+b^2
(10)^2 = (8)^2 +(b)^2
100 = 64 +(b)^2
100- 64 = (b)^2
36 = (b)^2
√36 = b
6 = b
hence b= 6 in
Answer: The answer is $4.20
Step-by-step explanation:
