Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± = ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
The initial value and the growth rate are given by:
A(0) = 9520, r = 0.1.
Hence the function is given by:
Hence in 13 years, the amount of pigeons will be of:
More can be learned about exponential functions at brainly.com/question/25537936
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