Which correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?
2 answers:
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Answer:
The ordered pair (6,25) is a solution to both
and
Step-by-step explanation:
Part 7)
<em>step 1</em>
Find the equation of the line with positive slope
take the points (0,15) and (9,30)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the given values
simplify
Find the equation of the line in slope intercept form
we have
substitute
<em>step 2</em>
Find the equation of the line with negative slope
take the points (0,40) and (8,20)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the given values
simplify
Find the equation of the line in slope intercept form
we have
substitute
step 3
Find the solution of the system
we know that
The solution of the system of equations is the intersection point both graphs
The intersection point is (6,25) ----> see the graph
therefore
The ordered pair (6,25) is a solution to both and