Answer:

Step-by-step explanation:
The given function is

Interchange x and y.

Solve for y.

Take logarithm of both sides to base e.

Divide both sides by 2.

Answer:
The general rule for the nth term of this sequence will be:

Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by

Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula

substituting a₁ = 12a, d = 3a



Therefore, the general rule for the nth term of this sequence will be:

Answer:
2/5
Step-by-step explanation:
f(x) = 4/5 x - 2
Let x=3
f(3) = 4/5 *3 - 2
=12/5 -2
=12/5 -10/5
= 2/5