To determine the number of rabbits in the forest the ranger tags 100 and releases them back into the forest. Later, 350 of rabbits are caught out of which 40 were tagged. What is the estimated number of rabbits in the forest?

875

Step-by-step explanation:

If there are 100 tagged rabbits and which there are 40 tagged out of 350 we get

The amount tagged/ The amount of rabbits = Tagged come back/Caught

If we replace the equations we get the equation

100/x = 40/350

Step 1. Cross Multiply

40x = 35000

x = 875

There are 875 rabbits

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.