Answer:
What is
Step-by-step explanation:
Answer:
y=-2x+5
Step-by-step explanation:
slope is going down 2 over 1
y-int is 5
5 divided by 3 is .6. I hope this makes sense. Good luck. I apologize if this is wrong
Answer:
the value of the series;
![\sum_{k=1}^{6}(25-k^2) = 59](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D%2059)
C) 59
Step-by-step explanation:
Recall that;
![\sum_{1}^{n}a_n = a_1+a_2+...+a_n\\](https://tex.z-dn.net/?f=%5Csum_%7B1%7D%5E%7Bn%7Da_n%20%3D%20a_1%2Ba_2%2B...%2Ba_n%5C%5C)
Therefore, we can evaluate the series;
![\sum_{k=1}^{6}(25-k^2)](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29)
by summing the values of the series within that interval.
the values of the series are evaluated by substituting the corresponding values of k into the equation.
![\sum_{k=1}^{6}(25-k^2) =(25-1^2)+(25-2^2)+(25-3^2)+(25-4^2)+(25-5^2)+(25-6^2)\\\sum_{k=1}^{6}(25-k^2) =(25-1)+(25-4)+(25-9)+(25-16)+(25-25)+(25-36)\\\sum_{k=1}^{6}(25-k^2) =24+21+16+9+0+(-11)\\\sum_{k=1}^{6}(25-k^2) = 59\\](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D%2825-1%5E2%29%2B%2825-2%5E2%29%2B%2825-3%5E2%29%2B%2825-4%5E2%29%2B%2825-5%5E2%29%2B%2825-6%5E2%29%5C%5C%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D%2825-1%29%2B%2825-4%29%2B%2825-9%29%2B%2825-16%29%2B%2825-25%29%2B%2825-36%29%5C%5C%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D24%2B21%2B16%2B9%2B0%2B%28-11%29%5C%5C%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D%2059%5C%5C)
So, the value of the series;
![\sum_{k=1}^{6}(25-k^2) = 59](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B6%7D%2825-k%5E2%29%20%3D%2059)