Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
__
The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
Answer:
The (prediction) for the number of times the spinner <u>wont</u> land on green is 14 times.
Step-by-step explanation:
First you need to find the possibility it will land on green. since there are 2 green spaces out of 9 possible spaces, there is a 2/9 chance you <u>will</u> get green from spinning. <u>This means there is a 7/9 chance you won't get green from spinning once.</u> By multiplying the fraction by the number of times you will spin, it is most likely you will get green 14 times out of 18 spins.
Answer:
1.72
Step-by-step explanation:
Would end up being the difference.
Answer: 83
Step-by-step explanation:
2816+1258/49
4074/49
582/7
83
Answer:
x=any real number
Step-by-step explanation:
5 ( 1 + X) = 5x + 5
5x+5=5x+5
true statement