Which of the following is the solution to the following system of inequalities? let the green region represent the solution set. x+2y< =4 3x-y> 2

The given inequalities are

x+2y≤4, 3x-y>2

To plot the graph first convert it into slope intercept form in two coordinate system i.e To convert equation of the type Ax + By= C in Slope intercept form

x/C÷A + y/C÷B =1

So,the equation becomes

x/4 + y/2≤ 1,

x/2÷3 + y/-2>1,

We have to also consider x>0 and y>0.

Now The shaded area in green is shown in the graph.

x=8/7 and y=20/7 is the point of intersection of lines

A triangular region is formed having vertices (0,0) (4,0) and (8/7,20/7) is the required solution.

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )