The discontinuity occurs at x = 0, since that is the only "problem" place in the graph that makes the function undefined. A vertical asymptote exists there. It is nonremoveable.
Answer:
middle graph
Step-by-step explanation:
Soluton
The second (middle ) graph is the only one that works.
- First of all when you simplicity the right, you get y = x^2 - 1). That means that x does not go through 0,0. If you put x = 0 into x^ - 1 = 0, you get - 1. So on that basis alone both the first and third graphs are incorrect.
- Second, both xs in the factors are plus, so x^2 is plus, which means the graph opens upward.
Answer:
Per child admission costs $8.5
Per Adult admission costs $13.5
Step-by-step explanation:
Let x be the amount of admission per child and y be the amount of admission per adult
For Tom's party:
13x+2y=137.50 (Equation 1)
For Lisa's Party:
9x+2y=105.50 (Equation 2)
Using Elimination Method:
Add Equation 1 & 2
13x+2y=137.50
9x+2y=105.50
- - = - (Change of Signs)
---------------------------------
4x+0y=34.00
x=34/4
x=8.5
Putting the value of x in Equation 2
13(8.5)+2y=137.50
110.5+2y=137.50
2y=137.50-110.50
2y=27
y=27/2
y=13.5
Answer:Bote
Step-by-step explanation: both
Sin(Angle) = Opposite Leg / Hypotenuse
Sin (Angle B) = 2 / 3
Angle B = Arcsin(2/3)
Angle B = 41.81 degrees.
