Start with
Observe that this implies that the domain is
The least common denominator is
In the right hand side, we have
So, the equation becomes
Multiply both sides by 3:
This equation has solutions
Which are compliant with the domain of the equation
Answer:
60 miles.
Step-by-step explanation:
Given:
We rent a car for the day and are offered two payment options.
With option A we pay $25 flat rate plus $0.15 per mile.
With option B we pay a $10 flat rate plus $0.40 per mile.
Question asked:
For what amount of miles would the cost of option A be equal to option B ?
Solution:
<u>Let amount of miles for which the cost of option A be equal to option B = </u><u />
For option A, we pay =
For option B, we pay =
Now, to find amount of miles for which the cost of option A be equal to option B, we will equalize the equation to find the value of
By subtracting both sides by 10
By subtracting both sides by
By dividing both sides by
Therefore, for 60 miles, the cost of option A will be equal to option B.
First, let's solve the inequality:
Subtracting 4 from all 3 terms, we get -6 < 3x < -2
Solving -6 < 3x results in x>-2, and solving 3x < -2 results in x < -2/3.
Ask: which integers satisfy x>-2? Answers: -1, 0, 1, 2, ....
Also ask: which integers satisfy x < -2/3? Answers: -5, -4, -3, -2, -1
Notice that the only integer that is found in both sets of possibilities is -1. So, only one integer x satisfies the given inequality.
1) 20+20+9+9= 58
2) area= bh
7(4)= 28
Answer:
x= -35/4
Step-by-step explanation:
Hope it helps you!