Answer:
$84.80
Step-by-step explanation:
find the difference between accurate price and written price: 74 - 47 = 27
find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60
the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60
divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80
hope this helps :)
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:
tep-by-step explanation:
In order to find the integral:
we can do the following substitution:
Let's call
Then
which allows us to do convert the original integral into a much simpler one of easy solution:
Therefore, our integral written in terms of "x" would be:
