Me kathy is mixing fruit punch in a 32-cup punch bowl for a party. she plans to add at least 20 cups of fruit juice to the bowl before adding ginger ale. identify the graph that represents the amount of fruit juice and ginger ale she can use, and then identify a valid solution. (the graph shows the overlapping solution region only, not the shading for each inequality.)

A. Valid solution: (24, 4)

Step-by-step explanation:

The wording "at least 20 cups of fruit juice" means the feasible solutions will be to the right of the line showing 20 cups of fruit juice. (Graphs A and D only.)

Any possible solution will be a point in the shaded area, hence the ordered pair (fruit juice, ginger ale) must have a first value that is between 20 and 32. Only Graph A has such a "valid solution."

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)