Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer:
the vertex is (-7,-90)
the focus is ( -7, -359/4)= (-7,-89.75)
semi-axis length; 1/4=0.25
focal parameter: 1/2=0.5
eccentricity;1
directrix: y=-361/4
Step-by-step explanation:
Answer:
The average number of customers in the system is 3.2
Step-by-step explanation:
The average number of customes in the system is given by:
In which
is the number of arirvals per time period
is the average number of people being served per period.
The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.
Customers arrive at the stand at the rate of 28 per hour
This means that 
Service times are exponentially distributed with a service rate of 35 customers per hour.
This means that 
. So
The average number of customers in the system (i.e., waiting and being served) is
The average number of customers in the system is 3.2
W = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
