The standard deviation of the set is 5.2
To find standard deviation, we take the square root of the variance.
Answer:
x= -7 x = -1
Step-by-step explanation:
x^2 + 8x + 7 = 0
Factor
What 2 numbers multiply to 7 and add to 8
7*1 = 7
7+1 = 8
(x+7)(x+1) =0
Using the zero product property
x+7 =0 x+1 = 0
x= -7 x = -1
The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)
Answer:
Step-by-step explanation:

Going off the idea that this is 4/(y+2) - 9/(y-2) = 9/(y^2-4), let's first rewrite y^2-4 in the form of a^2-b^2, where a=y and b=2.
y/(y+2)-9/(y-2)=9/(y^2-2^2)
Now, use difference of squares: a^2-b^2=(a+b)(a-b)
4/(y+2)-9/(y-2)=9/((y+2)(y-2))
Multiply both sides by the Least Common Denominator: (y+2)(y-2)
4(y-2)-9(y+2)=9
Then keep on simplifying until you get your answer
-5y-26=9
-5y=9+26
-5y=35
y=35/-5
y=-7
Yay! Our answer is y=-7!