Answer:
C. -11,325
Step-by-step explanation:
- To know the answer, is convenient to replace some values of "n" in the sum
![\sum_{(n=1)}^{150}[-1-(n-1)]](https://tex.z-dn.net/?f=%5Csum_%7B%28n%3D1%29%7D%5E%7B150%7D%5B-1-%28n-1%29%5D)
.
- The result would appear after adding up every value of the expression when n=1,2,3.....,150.
- When n=1, the expression takes the value of (-1):
![[-1-(1-1)]= (-1)-0=-1](https://tex.z-dn.net/?f=%5B-1-%281-1%29%5D%3D%20%28-1%29-0%3D-1)
. - When n=2, the expression takes the value of (-2):
![[-1-(2-1)]=-1-1=-2](https://tex.z-dn.net/?f=%5B-1-%282-1%29%5D%3D-1-1%3D-2)
. - Following this way, for every n, we will obtain -n, then, the sum will be:
. This sum can actually be expressed as 
, which is the result of solving the initial expression of the sum 
. - Finally, the sum of n=-1 to n=-150 equals -11,325.
Answer:
y = (x + 6)² - 1
Step-by-step explanation:
So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)
so we will get x first:
x^2+12x
We are factoring x
x(x+12)
Now you do x=-12/2
x=-6
Now that you have x, you plg that back into the equation to get y
y= -6^2 +12(-6) +35
= 36-36+35
=-1
Put into vertex form
y = (x + 6)² - 1
800 * ( 6.45 / 100 ) = 8 * 6.45 = 51.6$ ;
Answer:
Step-by-step explanation:
-7x-2y=-13
x-2y=11
(subtract the first inequality from the second)
-7x-x = -8x
-2y-(-2y) = 0
-13-11= -24
-8x=-24
x=3
(now place the x value into the second inequality)
3-2y=11
-2y=11-3
-2y=8
y=-4
x=3
y=-4
Answer:
Do a full picture ok then someone can answer
