Answer:
Step-by-step explanation:
Let "a" represent the population.
is the initial population.
is the population at year n.
Since the population decreases 10% each year, that means that each year, the population is 90% of the previous year.
The initial population is 14,000.
Each year fater than, the population is 90% of the population of the previous year, or 0.9 time the population of the previous year.
The equation that represents the <em>sinusoidal</em> function is , .
<h3>Procedure - Determination of an appropriate function based on given information</h3>
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline () and has both a maximum () and a minimum ().
Sinusoidal functions have in most cases the following form:
(1)
Where:
- - Angular frequency
- - Angular phase, in radians.
If we know that , , , and , then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
, (2c)
, (3c)
And we proceed to solve this system:
,
By (2c):
The equation that represents the <em>sinusoidal</em> function is , .
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Answer:
4x+12
Step-by-step explanation:
Distribute for to each value, 4 times x and 4 times 3, 4x=12
Let the variable of the equation be x.
I'm gonna go backwards of the factorization process.
Given,
x = 11 or 3
(x - 11)(x - 3) = 0
x² -3x -11x + 33 = 0
x² -14x + 33 = 0
Hence, f(x) = x² - 14x + 33.
3 times the number of athletes.
your ratio is 3:1 so the musicians are three and athletes are one so it’s three times the athletes