If R=5Z then 15Z=3Y, then R=? Show work please
1 answer:
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Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
Answer:
Step-by-step explanation:
Use the slope-intercept form:
m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:
To find the slope, take any two points from the line:
Use the slope formula for when you have two points:
The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:
Simplify parentheses (two negatives makes a positive):
Simplify (two negatives make a positive):
The slope is and the y-intercept is
. Insert these into the equation:
Finito.