X/x-2 >= 0 equals x/x >= 0+2 simplified x >=2
Answer:
C {3, 15}
Step-by-step explanation:
x² - 18x + 45
Factor
What 2 numbers multiply to 45 and add to -18
-15*-3 = 45
-15+-3 = -18
(x-15) (x-3) =0
Using the zero product property
x-15 =0 x-3=0
x-15+15=0+15 x-3+3=0+3
x=15 x=3
The graph shows a
piecewise function, meaning that different functions are shows at different intervals (ranges of x-values).
1) One of the graphs is part of a parabola, meaning the equation is quadratic (has

). That equation must be

.
2) The other graph is a straight line, meaning it must be a linear equation. That equation must be x + 4.
Looking at the entire graph, you can see that the parabola starts from the left and ends with an open circle at x=2. An open circle means that the graph doesn't have a value at that point, x=2. The linear line starts with a filled point at x=2 and continues to the right. That means we're looking for the choice where:
1)

Since x=2 cannot be a point in the graph, and less than 2 means that the graph includes everything to the left of 2, but not including 2
2)

Since x=2 is a point in the graph, and greater than or equal to 2 means that the graph includes 2 and everything to the right of it
------
Answer: C)
The correct answer is B) y = 120000x + 420000.
We multiply 120,000 by x since that is the cost per person per day, and x is the number of days. We add 420,000 because that is the one time cost of the round trip airfare.