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.
Hey there!
2.7 * 10^4 + 120
10^4
= 10 * 10 * 10 * 10
= 100 * 100
= 10,000
2.7 * 10,000 + 120
= 27,000 + 120
= 27,120
Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Ok slot method
3 slots
1st slot has 52 options
2nd slot has 51 optoins (1 went to first slot)
3rd slot has 50 options (1 went to previous slot)
number of ways=52*51*50=132600 ways
Answer:
Do you mean 5x+20=70?
If so (Under)
Step-by-step explanation:
5x+20=70
5x=50
x=10
Answer:
y=(x-4)²
Step-by-step explanation:
(a-b)²=a²-2ab+b²
(x-4)²=x²-2×x×4+4²
(x-4)²=x²-8x+16