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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.
Answer:
3. They're adding by 5 so,
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:



Answer:
Simplify 3(x+1)−5.
3x−2=3x−2
Move all terms containing x to the left side of the equation.
−2=−2 Since −2=−2 , the equation will always be true for any value of x
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Option2 : infinite solutions
Step-by-step explanation: