When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buy
2 answers:
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Answer:
Part ) The graph in the attached figure
Part b) The system has infinitely solutions
Step-by-step explanation:
Part a) Graph this system of inequalities
we have
y < -x+4 -----> inequality A
The solution of the inequality A is the shaded area below the dotted line
y=-x+4
The y-intercept of the dotted line is the point (0,4)
The x-intercept of the dotted line is the point (4,0)
The slope of the dotted line is negative (m=-1)
y > -x-2 -----> inequality B
The solution of the inequality B is the shaded area above the dotted line
y=-x-2
The y-intercept of the dotted line is the point (0,-2)
The x-intercept of the dotted line is the point (-2,0)
The slope of the dotted line is negative (m=-1)
using a graphing tool
The graph in the attached figure
Part b) How many solutions does this system of inequalities have?
we know that
The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)
therefore
The system has infinitely solutions
The correct answer is is D) If the group sells 15 prints they will loose $85.
To figure out which statement is true, we have to evaluate the function ,
for all the values given in options (A)-(D). A negative output represents a loss and a positive output will represent a profit.
In A so
. In this case we gather that if they sell 12 prints, they will make a loss of $136. This tells us that option A is wrong.
In B, so
. In this case we gather that if they sell 28 prints, they make a profit of $136. This tells us that option B is wrong.
In C, so
. In this case we gather that if they sell 35 prints, they make a profit of $225. This tells us that option C is wrong.
Lastly, so
. In this case we gather that if they sell 28 prints, they make a loss of 85 dollars. From this we gather that D is the correct option.