Suppose we choose
and
. Then
Now suppose we choose
such that
where we pick the solution for this system such that
. Then we find
Note that you can always find a solution to the system above that satisfies
as long as
. What this means is that you can always find the value of
as a (constant) function of
.
The number of minutes for which Keith was billed = 97
Step-by-step explanation:
Step 1:
It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute for the number of minutes used.
Total cost = Fixed cost + Per minute cost
If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:
Total cost = 3$ + 0.11 * x
Step 2:
The total cost is 13.67$
Substituting in the equation we get
13.67 = 3 + 0.11 * x
x = 10.67 / 0.11 = 97 minutes
Step 3:
Answer:
The number of minutes for which Keith was billed = 97
Answer:
5m-8
Step-by-step explanation:
Since you have to distribute both numbers, you'll end up with x^2-3x+4x-12 then simplify and it is x^2+x-12
ANSWER
Quadrant IV
EXPLANATION
The given point have the x-coordinate to be positive and the y-coordinate to be negative.
In general, the point P(x,-y) lies in the fourth quadrant.
The reason is that, this quadrant contains the positive x-axis and the negative y-axis.
See attachment for diagram.
