Given:
The system of inequalities is:


To find:
The graph of the given system of inequalities.
Solution:
We have,


The related equations are:


Table of values for the given equations is:

0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of
.
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of
.
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
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Answer:
(B) $5.25
Step-by-step explanation:
We can create an equation to represent this problem.
Let's assume
is the cost of a ferris wheel ticket,
is the cost of a snow cone, and
is the cost of a cotton candy.
We bought two ferris wheel tickets, one snow cone, and one cotton candy. After a discount of 6 dollars, the price was 12.75.
This makes the equation 
Since we know the value of each ferris wheel ticket and the snow cone, we can simplify our equation by substituting in these values.

We can now subtract 7.5 from both sides to get the value of
, the cotton candy price.

So the cotton candy cost $5.25.
Hope this helped!
Answer:
13 quarters must be tails.
Step-by-step explanation:
Number of quarters = 40% of 50 coins
Number of quarters = 40/100 * 50 = 20 coins which are quarters.
35% of these 20 quarters on heads. We can proceed in 2 ways from here.
We can actually find the number of quarters that are on heads.
35/100 * 20 = 7 quarters are showing heads.
Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.
The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.