Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.
Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.
Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.
Answer:
Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean
Where x-> 76,45,64,80,92 and n = 5
Subtract Mean (71.4) from each of the given data
Determine the absolute value of the above result
Square Individual Result
Calculate the mean of the above result to give the variance
Hence, Variance = 255.298
Standard Deviation is calculated by 
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
The answer would be -4 because you are dividing by -5
Answer:
1 or 2
Step-by-step explanation:
If you want it equally then it would be 1. The reason for this is cause you will have to divide 3 and 2 by 75 to get 25 and 37. So only 1 can go into both numbers equally. If you want a little bit over you would get 2 cause you would do the same steps like for 1 but you would subtract the 37 and 25 to get the remainder of 12 so it would be 12
