This is a system of equations. We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out. We can do this by multiplying the bottom equation by 3. This will make our system of equations equal:
3a + b + 225
-3a + 3b = 75
Now we add these two equations together, because the a terms will cancel out.
4b = 300.
We can find what b is by dividing both sides by 4.
b = 75
Next, we plug in b in one of the equations and solve for a. You can use either equation, but I will use the second.
75 - a = 25
Subtract 25 from both sides and add a to both sides:
a = 50
So, the first option is correct. A = 50 and b = 75.
The denominator is 14-x.
Since the denominator cannot be equal to zero, you take the denominator, set it equal to zero, and solve.
This ill give you the value or values that must be eliminated (cannot be in the domain).
14 - x = 0
add x to both sides
14 = x
The domain is x ≠ 14
OR
(- ∞, 14) ∪ (14, ∞)
OR
All real numbers except 14
Answer:
27.75
Step-by-step explanation:
30.75 - 3
Subtract the terms.
= 27.75
Answer:
c(x) = ($12) / x
Step-by-step explanation:
The general formula for inverse proportion is y = k/x.
In this specific problem, y represents the cost per person, k the dailyl cost ($12), and x the number of perople riding.
Then
c(x) = cost per person as a function of the number of people riding
= ($12) / x
Note that if only one person rides, that person pays $12/1, or $12; if two people, $12/2, or $6 per person, and so on.
