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hala201490
29.10.2020 •
Mathematics
16. while filling out all the lines above what amount is to be entered on line 4 of the 1040ez form
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Ответ:
Part A) The graph in the attached figure (see the explanation)
Part B) The point (8,2) is not included in the solution area for the system
Part C) see the explanation
Step-by-step explanation:
Part A: Describe the graph of the system of inequalities
Let
x > the number of serving of dry food
y > the number of serving of wet food
we have
> inequality A
The solution of the inequality A is the shaded area below the solid line A
The equation of the solid line A is
The slope of the solid line A is negative
The y-intercept of the solid line A is (0,8/3)
The x-intercept of the solid line A is (8,0)
> inequality B
The solution of the inequality B is the shaded area above the solid line B
The equation of the solid line B is
The slope of the solid line B is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (2,0)
Therefore
The solution of the system is the shaded area below the solid line A and above the solid line B
Remember that that the values of x and y cannot be a negative number
using a graphing tool
The graph in the attached figure
Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically
we know that
If a point is a solution of the system, then the point must satisfy both inequalities of the system (makes true both inequalities)
For x=8, y=2
Verify inequality A
> is not true
so
the point not satisfy inequality A
therefore
The point is not included in the solution area for the system
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context
I choose the point (3,1) (is included in the solution area for the system)
That means
Michelle buy 3 serving of dry food and 1 serving of wet food