Answer:
answer is first option
![{x}^{2} -3x - 5 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-3x%20-%205%20%3D%200)
wherein, a = 1, b = -3, c = -5
Step-by-step explanation:
8248 rounded off to 8250
9508 rounded off to 9510
Answer:
The basketball player made 8 free throws and scored two 2 point shots.
Step-by-step explanation:
Answer:
(c) 3360
Step-by-step explanation:
Given
The above arithmetic series where:
--- first term
--- the common difference (18 - 12 = 6)
--- The last term
Required
The value of the series
First, we calculate n using:
![T_n = T_1 + (n - 1)d](https://tex.z-dn.net/?f=T_n%20%3D%20T_1%20%2B%20%28n%20-%201%29d)
This gives:
![198 = 12 + (n - 1)*6](https://tex.z-dn.net/?f=198%20%3D%2012%20%2B%20%28n%20-%201%29%2A6)
Collect like terms
![198 - 12 = (n - 1)*6](https://tex.z-dn.net/?f=198%20-%2012%20%3D%20%28n%20-%201%29%2A6)
![186 = (n - 1)*6](https://tex.z-dn.net/?f=186%20%3D%20%28n%20-%201%29%2A6)
Divide both sides by 6
![31 = (n - 1)](https://tex.z-dn.net/?f=31%20%3D%20%28n%20-%201%29)
Make n the subject
![n = 31 + 1](https://tex.z-dn.net/?f=n%20%3D%2031%20%2B%201)
![n=32](https://tex.z-dn.net/?f=n%3D32)
The sum of the series is:
![S_n= \frac{n}{2}(T_1 + T_n)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Bn%7D%7B2%7D%28T_1%20%2B%20T_n%29)
So, we have:
![S_n= \frac{32}{2}(12 + 198)](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2812%20%2B%20198%29)
![S_n= \frac{32}{2}*210](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B32%7D%7B2%7D%2A210)
![S_n= 16*210](https://tex.z-dn.net/?f=S_n%3D%2016%2A210)
![S_n= 3360](https://tex.z-dn.net/?f=S_n%3D%203360)