first we writte the information they are giving to us:
For company A:
initial fee = $90
rent per mile = $2
For combany B:
initial fee = $50
rent per mile = $3
Now for company A the equation that represent the charge in one mile will be: (where n is the number of miles)
And for company B:
Now to determine the number miles driven, that would make the cost of each company the same, we have to make A = B
and finaly we can solve for n
so if they drive for 40 miles the will pay the same
Answer:
Solutions of x are;
x = -7 + 8i and x = -7 -8i
Step-by-step explanation:
Given the equation: 
Add 96 both sides we get;
Using quadratic formula 
then the solution is given by:
On comparing we have;
a= 1, b =14 and c =113
or
Simplify:
; where i is the imaginary, 
or
Therefore, the solution of x are; x = -7 + 8i and x = -7 -8i
Step-by-step explanation: The easiest way to tell whether or not this relation is a function is to look at the x-coordinates of the given ordered pairs.
If any of the ordered pairs in this relation have the
same x-coordinate, then the relation is not a function.
In the last relation, all the x-coordinates are different.
So we can say the last relation is a function.
9514 1404 393
Answer:
f(g(x)) = 8x^2 +11
Step-by-step explanation:
Put the argument where the variable is and simplify.
f(g(x)) = f(-4x^2 -9) = 2|-4x^2 -9 +3| -1 = 2|-4x^2 -6| -1
The expression -4x^2 -6 is never positive, so the absolute value function just negates it:
f(g(x)) = 2(4x^2 +6) -1 = 8x^2 +12 -1
f(g(x)) = 8x^2 +11
