Answer:
B
Step-by-step explanation:
Hope this helps!!!
Suppose
![S=50+51+52+\cdots+100+101](https://tex.z-dn.net/?f=S%3D50%2B51%2B52%2B%5Ccdots%2B100%2B101)
At the same time, we can write
![S^*=101+100+99+\cdots+51+50](https://tex.z-dn.net/?f=S%5E%2A%3D101%2B100%2B99%2B%5Ccdots%2B51%2B50)
Note that
(just reverse the sum). Let's pair the first terms of
and
, and the second, and the third, and so on:
![S+S^*=(50+101)+(51+100)+(52+99)+\cdots+(100+51)+(101+50)](https://tex.z-dn.net/?f=S%2BS%5E%2A%3D%2850%2B101%29%2B%2851%2B100%29%2B%2852%2B99%29%2B%5Ccdots%2B%28100%2B51%29%2B%28101%2B50%29)
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
![S+S^*=52\cdot151](https://tex.z-dn.net/?f=S%2BS%5E%2A%3D52%5Ccdot151)
But
, as we pointed out, so
![2S=52\cdot151\implies S=\dfrac{52\cdot151}2=3926](https://tex.z-dn.net/?f=2S%3D52%5Ccdot151%5Cimplies%20S%3D%5Cdfrac%7B52%5Ccdot151%7D2%3D3926)
Answer:
Step-by-step explanation:
In vertex form, the equation is
y = a(x-h)^2 + k
So just read off the values!
Answer:
3.5
Step-by-step explanation:
500 x 7
3500/1000
3.5