Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b
2 answers:
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Consider the missing part of the question is "Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year."
Given:
The function is:
Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.
To find:
The correct statement from the given options.
Solution:
The general exponential decay model is:
...(i)
Where, a is the initial value, r is the rate of decay and t is the number of years.
We have,
It can be written as
...(ii)
From (i) and (ii), we get
The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.
Therefore, the correct option is B.
Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
Similarly the range in interval notation is also <span> because the lowest you can go is y = -4. The highest you can go is y = 4</span>
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is
Similarly the range in interval notation is also <span>