4-3x = 2x-6 what is x
2 answers:
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Answer:
- Decay Problem.
- Decay rate, r = 0.014
- Initial Amount =120,000
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
When t=10 years
ANSWER
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products: