Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, rounded to one decimal place. begin{cases}y geq x - 3y geq -2x+6y leq 8end{cases}

he298c 2020-11-08 Answered
Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, rounded to one decimal place.
{yx3y2x+6y8
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Expert Answer

Willie
Answered 2020-11-09 Author has 95 answers

Step 1
To draw graph for given inequality.
image
Step 3
To find coordinate of all vertices
Plug y=8 in y=x3
8=x3
x=8+3=11
First coordinate is (11, 8)
Now plug x=8 in y=2x+6
8=2x+6
2x=2
x=1
second coordinate is (-1, 8)
Now solve system y=x3 and y=2x+6
equate both equation
x3=2x+6
3x=9
x=3
Plug x=3 in y=x3
y=33=0
Third coordinate is (3, 0)
Therefore the coordinate of the vertex is (11,8),(1,8) and (3,0).

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