JozelynW
  • JozelynW
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. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) 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. (2 points)
Mathematics
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SOLVED
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katieb
  • katieb
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JozelynW
  • JozelynW
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JozelynW
  • JozelynW
@jim_thompson5910 @mathmate @MathematicalyExactOne
mathmate
  • mathmate
@JozelynW Do you know in which quadrant are the points C and F?

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JozelynW
  • JozelynW
1????
mathmate
  • mathmate
Correct! So what are the characteristics of Q1?
JozelynW
  • JozelynW
positive qu
mathmate
  • mathmate
...meaning how can you describe the points that are inside of Q1?
JozelynW
  • JozelynW
all the points in the Q1 are positive
JozelynW
  • JozelynW
x and y
JozelynW
  • JozelynW
positive, positive
JozelynW
  • JozelynW
that's all i know
mathmate
  • mathmate
exactly, do you mean x>0, y>0 ?
mathmate
  • mathmate
@JozelynW ?
JozelynW
  • JozelynW
i think so
JozelynW
  • JozelynW
0 and up
mathmate
  • mathmate
|dw:1446254858082:dw|
mathmate
  • mathmate
Are there other points in the first quadrant?
JozelynW
  • JozelynW
noo
mathmate
  • mathmate
I'll post some hints, since you appear to be busy. For A. the conditions for Q1 (x>0 and y>0) suffice for the constraints, since there are no other points in Q1. B. Test the coordinates of C and F to make sure they satisfy the conditions in A. C. Draw the line that correspond to the inequality y<-2x+2, and it should be dotted because it means that points ON the line do not satisfy the constraints. Y "less than" -2x+2 means that it's the area below the dotted line that satisfies the constraint. So look for the schools below the dotted line.
mathmate
  • mathmate
Proceed all three parts using the hints and you should be ok.
JozelynW
  • JozelynW
kk
JozelynW
  • JozelynW
are u leaving

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