Answer:
x = 77.5
Step-by-step explanation:
1. Use cross-multiplication to find x.
2. Divide and round.
x ≈ 77.5
Write a system of linear inequalities represented by the graph.
1 answer:
<u>Answer</u>:
Inequality 1: y ≤ 5x + 1 Inequality 2: y > x -2
<u>Explanation</u>:
<u>the first line is intersecting the y-axis at 1</u>
coordinates = ( 0 , 1 ) , ( -1 , -4 )
slope of the first line = <em>(y2-y1)/(x2-x1)</em>
= (-4-1 )/(-1-0)
= -5/-1
= 5
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y ≤ 5x + 1 .........as equals to and greater than
<u>the second line is intersecting the y axis at -2</u>
coordinates = ( 2 , 0 ) , ( 0 , -2 )
slope of second line = <em>(y2-y1)/(x2-x1)</em>
<em> </em>= (-2-0)/(0-2)
= 1
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y > x -2 ..........as dotted represents not equals to.
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