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katiewhitlock1014
04.12.2021 •
Mathematics
What is the equation of a line that is parallel to y=-4x-3 and shifted down 3 untits
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Ответ:
y= -4x - 3
Step-by-step explanation:
Given
The equation of line is
The line which is parallel to the given line is
and shifted by 3 units down i.e. its y-intercept is 3 units below the given line
Ответ:
Part A) see the explanation
Part B) The point (5,1) is included in the solution area for the system
Part C) I choose the point (2,3), that means Michael buys 2 sandwich and 3 hot lunch
Step-by-step explanation:
Part A)
Let
x -----> number of sandwich
y ----> number of hot lunch
we have
The solution of the inequality A is the shaded area below the solid line![2x+3y=15](/tpl/images/0385/1792/2459f.png)
The solution of the inequality B is the shaded area above the solid line![x+y=3](/tpl/images/0385/1792/28eb6.png)
Using a graphing tool
The solution of the system of inequalities is the shaded area between the positive integers (whole numbers) of x and y
see the attached figure
Part B) is the point (5,1) included in the solution area for the system? Justify your answer mathematically
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities of the system (the ordered pair is included in the solution area for the system)
Verify Inequality A
For x=5, y=1
substitute
so
The ordered pair satisfy inequality A
Verify Inequality B
For x=5, y=1
substitute
so
The ordered pair satisfy inequality B
The ordered pair satisfy both inequalities
therefore
The point (5,1) is 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 (2,3)
The point (2,3) is included in the solution area for the system
see the attached figure N 2
That means
Michael buys 2 sandwich and 3 hot lunch