Mathematics, 11.07.2019 21:30 lindseybug

Ireally need .the coordinate plane below represents a city. points a through f are schools in the city.
the graph is below.
part a: using the graph above, create a system of inequalities that only contain points c and f 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 c and f are solutions to the system of inequalities created in part a.
part c: natalie can only attend a school in her designated zone. natalie's zone is defined by y < −2x + 2. explain how you can identify the schools that natalie is allowed to attend.

Ireally need .the coordinate plane below represents a city. points a through f are schools in the ci

Answers: 3

Show answers

Answers

Answer from: moningersavannah

Part A) The system of inequalities is

$x\geq2$ and $y\geq2$

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Verify point C

C(2,2)

Inequality A

$x\geq2$ -----> $2\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $2\geq2$ ----> is true

therefore

Point C is a solution of the system of inequalities

Verify point D

F(3,4)

Inequality A

$x\geq2$ -----> $3\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $4\geq2$ ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

y < -2x+2

The solution of the inequality is the shaded area below the dotted line y=-2x+2

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

Ireally need .the coordinate plane below represents a city. points a through f are schools in the ci

Answer from: Quest

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.
Find the area of the rectangle guysss i need it rut now plz us