Graph the lines 2x=-y+7 and 2y=-4x+10. What is the solution?
2 answers:
Answer: Option C
C) No solution
Step-by-step explanation:
To graph both lines identify the cut points with the axes
For
The intersection with the x axis is:
The intersection with the y axis is:
Draw a line that cuts the y-axis in 7 and the x-axis in 3.5
For
The intersection with the x axis is:
The intersection with the y axis is:
Draw a line that cuts the y-axis in 5 and the x-axis in 2.5
The intersection of both lines will be the solution of the system. Observe the attached image
The lines are parallel, so they never intercept. Therefore the system has no solution
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The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:
A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.
The given table of values and equation are plotted on a graph using MS Excel
From the graph, and the table created, we have:
When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts
When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee
When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us
The selection table is presented as follows:
Learn more about piecewise defined functions here:
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