Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent t
1 answer:
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Answer:
The number of fringes at is given as 20.
Step-by-step explanation:
Question
A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression
,
where d is the number of decades after the population was measured. Evaluate the expression for d = −2
Given :
The number of finches is modeled by the expression :
⇒
where is the number of decades after the population was measured.
To evaluate the expression for d=-2
Solution:
In order to evaluate the given expression to find the number of finches at , we will plugin
for
in the expression and simplify it.
Plugging in in the expression:
⇒
Using negative exponent property. [
⇒
⇒
⇒ (Answer)
Thus, the number of fringes at is given as 20.
This means the number of fringes two decades ago was 20.
From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.
<h3>What is the explanation for the above function?</h3>Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:
f(x) = 100 *
Assuming x = -2, we'd have:
100 * 2.7182
= 271.82
= 0.00001353354
Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.
Learn more about functions at:
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