Make an equation:
5x+12=6x
Use the subtraction property:
x=12
The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.
Answer:
The intersection is
.
The Problem:
What is the intersection point of
and
?
Step-by-step explanation:
To find the intersection of
and
, we will need to find when they have a common point; when their
and
are the same.
Let's start with setting the
's equal to find those
's for which the
's are the same.

By power rule:

Since
implies
:

Squaring both sides to get rid of the fraction exponent:

This is a quadratic equation.
Subtract
on both sides:


Comparing this to
we see the following:



Let's plug them into the quadratic formula:




So we have the solutions to the quadratic equation are:
or
.
The second solution definitely gives at least one of the logarithm equation problems.
Example:
has problems when
and so the second solution is a problem.
So the
where the equations intersect is at
.
Let's find the
-coordinate.
You may use either equation.
I choose
.

The intersection is
.
Answer:
I have no idea. : /
Step-by-step explanation:
-2.5(1-2n)-1.5n
=-2.5+5n-1.5n
=-2.5+3.5n
Answer: B. -2.5+3.5n