Solve.

6x−13=2x+7

2

3

5

6

Step-by-step explanation:

6x−13=2x+7

Inverse operation:

6x into a negative then subtract it by 2x

2x - 6x = -4

Change 7 into a negative then subtract it by -13

-13 - 7 = -20

-20 = -4x

Divide:

-20 = -4x

-4       -4

-20/-4 =  5

5 = x or x = 5

f(n) = 14.3908 * 1.2561^(n-1)

Step-by-step explanation:

A geometric sequence can be defined by:

f(n) = a*r^(n-1), where 'a' is the inicial population, and 'r' is the ratio the population increases each year

If we have 45 raccoons after 6 years and 71 raccoons after 8 years, we can use these values in the equation to find the values of 'a' and 'r':

for n=6, f(n) = 45:

45 = a*r^5

for n=8, f(n) = 71:

71 = a*r^7

dividing the second equation by the first, we have:

r^2 = 71/45 = 1.5778

r = 1.2561

Now, applying this value of 'r' in the first equation, we find 'a':

45 = a*1.2561^5

a = 45/3.1270 =  14.3908

So, the function that models the local raccoon population 'f(n)' in the terms of the number of years 'n' is:

f(n) = 14.3908 * 1.2561^(n-1)