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:
Step-by-step explanation:
Let 'x' be the original price.
x + 39% of x = 197.38
x + 0.39 x = 197.38
1.39x = 197.38
x = 197.38/ 1.39
x = 142
Answer:
you can say he bought 2 small notebooks and 4 big notebooks
Step-by-step explanation:
we have 52 dollars here
so if we have 4 large notebooks that will cost 40 dollars and if we have 2 small notebooks on addiction to that, that will cost 12 more dollars
now adding up 40 and 12 we get $52 !
Multiply 12 x 12 which is 144. And then you divide that by 6 and you get 24
Answer:
8
Step-by-step explanation:
There are 2 cheeses, american and cheddar, and 4 meats, ham, bologna, turkey, and chicken. For every cheese, there are 4 options of meat. So then there are 2*4=8 sandwiches. If you are familliar with this concept, just multiply 2 and 4.