*asap* the coordinate plane below represents a city. points a through f are schools in the city. graph of coordinate plane. point a is at 1, 3. point b is at 3, 1. point c is at 3, negative 3. point d is at negative 4, 2. point e is at negative 1, 5. point f is at negative 3, negative 3. part a: using the graph above, create a system of inequalities that only contains points b and c in the overlapping shaded regions. explain how the lines will be graphed and shaded on the coordinate grid above. part b: explain how to verify that the points b and c are solutions to the system of inequalities created in part a. part c: lisa can only attend a school in her designated zone. lisa's zone is defined by y > 2x + 5. explain how you can identify the schools that lisa is allowed to attend.

Part A: We have the points A = ( 1,3 ) , B = ( 3,1 ) and C = ( 3,-3 ).

We will first find the equation of line AB and AC.

Now, the slope of AB is .

So, substituting in y = mx + b along with the point ( 1,3 ) gives,

3 = -1 + b i.e. b = 4.

So, the equation of AB is y = -x + 4.

Further, slope of AC is .

Again, substituting in y = mx + b along with the point ( 1,3 ) gives,

3 = -3 + b i.e. b = 6

So, the equation of AC is y = -3x + 6.

Using 'zero test', we get that,

y = -x + 4 gives 0 = 4, which is not true.

y = -3x + 6 gives 0 = 6, which is not true.

Hence, the solution region will be away from the origin as shown in the figure 1 below.

Thus, we get the system y>-x+4 and y>-3x+6 containing point B and C.

Part B: We have the equations y = -x + 4 and y = -3x + 6.

Substitute the points B = ( 3,1 ) and C = ( 3,-3 ) into these equations respectively, we get,

y = -x + 4 gives y = -3 + 4 i.e. y = 1

y = -3x + 6 gives y = -3 × 3 + 6 i.e. y = -9 + 6 i.e. y = -3.

Hence, points B and C are the solutions of the system in Part A.

Part C: After plotting y>2x+5, we ca see from the second figure that the points included in the shaded region are D = ( -4,2 ) and E = (-1, 5).

So, Lisa is allowed to attend the schools D and E.

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925