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:
2/36
Step-by-step explanation:
The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3
Answer:
N:ki n:kn:kNN
Step-by-step explanation:
-8(9)= -72; -4(-6)= 24; -72+24= -48
Answer:
92087,14873
Step-by-step explanation:
Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by 5% each year after that
Let P0 be the population in 1990
Then we have in 2000 the population is
with this initial population for next growth we have in 2010 the population would be
, where P = population is 2000
a) Given that 
b) we use the exponential equation and solve for initial population in 2000.
c) we have
