Answer:97
97
Step-by-step explanation:
The domain is related to the x-value of the function. In this case, the goal of finding the domain is to make sure that the number under the radical sign is positive. The number that makes the function under the radical sign is -2. Hence this is the minimum number and the domain is from -2 to positive infinity.
The great x value for what? Can you give us the equation?
3 square root is called cube root btw:
cube root of -27/64 is the same as (cube root of -27)/(cube root of 64)
cube root of -27 is -3
cube root of 64 is 4
the anser is -3/4
It is helpful to know several forms of the equation of a line. One that is often overlooked is the intercept form.
.. x/(x-intercept) +y/(y-intercept) = 1
The boundary conditions for your inequalities can be written as the lines
.. x/20 +y/20 = 1
.. x/24 +y/15 = 1
The first inequality will be bounded by the line that has x=20 and y=20 as its x- and y-intercepts. The second inequality will be bounded by the line with x=24 and y=15 as its x- and y-intercepts. Since the inequality conditions include the "or equal to" case, the graphed boundary line will be solid, not dashed. (All but the first graph have these lines properly shown.)
The region shaded for each inequality will be the half-plane (or its portion in the first quadrant) where the x- and y-values make the inequality true. For this problem, that is values of x and y to the left/below the line in both cases. Graph (c) shows where these "feasible regions" overlap, so is the correct choice.
