What is the solution of the system y=-3x 3x+2y=6
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Answer:
The approximate population of the small town after 10 years is 6,413
Step-by-step explanation:
Here we note that the general growth formula is given by;
For decreasing rate, we have;
Where:
A = Population after growth
P = Initial population = 13250
r = The annual reduction rate in decimals = 7 % = 7/100 = 0.07
t = Number of years of decrease= 10 years
Since the population is decreasing, then by plugging in our values into the above equation for decreasing rate, we have
= 6.412.766 ≈ 6,413
The approximate population of the small town after 10 years = 6,413
The equation for a rational function with: Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is
<u>information gotten from the question</u>
From the question given above, the following data were obtained:
- Vertical asymptotes at x = 2 and x = -4
- x-intercepts at x = 1 and x = 4
- y-intercept at 9
- y =?
Rational function means that the equation will be a fraction
The rational function that models the Vertical asymptotes at x = 2 and x = -4. x-intercepts at x = 1 and x = 4. y-intercept at 9 is written as follows
The numerator
x-intercepts at x = 1 and x = 4
x = 1 ⇒ (x - 1)
x = 4 ⇒ (x - 4)
This means the equation will have (x - 1) (x - 4) as the numerator
The denominator
Vertical asymptotes at x = 2 and x = -4
x = 2 ⇒ (x - 2)
x = -4 ⇒ (x + 4)
This means the equation will have (x - 2) (x + 4) as the denominator
y-intercept at 9
expressing the functions derived already gives
substituting x = 0 and y = 9 and solving gives a
4a = 9 * -8
a = -36
The equation of the rational function is
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