In the month of october, the population of a species of fish in a river increased by a factor of 1.05 every day. the function below shows the number of fish in the river f(x) after x days:

f(x) = 100(1.05)x

which of the following is a reasonable domain for the function?

0 ≤ x ≤ 100

0 ≤ x ≤ 31

all positive integers greater than 100

all positive integers less than 100

B) 0 ≤ x ≤ 31

Step-by-step explanation:

We are looking for a reasonable domain for the function, the domain is x which represents the number of days in the month of October. October has 31 days so x can't be greater than 31, and days can't be represented by a negative number. So, the reasonable domain for the function can't be greater than 31 or less than 0, so the answer is B) 0 ≤ x ≤ 31.

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

correct answer is c. just did it

step-by-step explanation: