C. the addition property of equality
Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series

The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series, ![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore:
![S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494](https://tex.z-dn.net/?f=S_%7B19%7D%3D%5Cdfrac%7B19%7D%7B2%7D%5B2%281%29%2B%2819-1%29%28-3%29%5D%5C%5C%3D9.5%5B2%2B18%2A-3%5D%5C%5C%3D9.5%5B2-54%5D%5C%5C%3D9.5%2A-52%5C%5C%3D-494)
The correct option is A.
Answer:
t = 1 s
Step-by-step explanation:
The function models the height of the ball after t seconds is given by :

We need to find how many seconds does it take for the ball to reach its maximum height.
For maximum height put dh/dt = 0

So,
32-32t = 0
t = 1
So, it will take 1 second to reach its maximum height.
Zeros= -3, -9, and 6
x+3=0 x=-3, x+9=0 x=-9, x-6=0 x=6
Answer:
Step-by-step explanation:
The absolute value is 62/3