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the function f(x) = 467(5)x represents the growth of a ladybug population every year in a wooded area. adrianne wants to manipulate the formula to an equivalent form that calculates every 3 months, not every year. which function is correct for adrianne's purposes?

a. f(x) = 67(5)x
b. f(x) = 467(512)the x over 12 power
c. f(x) = 467(5 to the one fourth power)4x
d. f(x) = 4672(5)x

C.

Step-by-step explanation:

Given: The function represents the growth of a ladybug population every year in a wooded area.

If Adrianne wants to manipulate the formula to an equivalent form that calculates every 3 months, not every year.

Then, the time changes from 1 year to 3 months.

Since, 1 year = 12 months

And 1 month = year

So, 3 months = year

So, the required function would look like :_

Hence, C is the right answer.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1