Solution
- The number of possible outcomes in the sample space is simply gotten by multiplying out all the events together.
- There are 3 possible days: Tuesday, Wednesday, or Thursday. Thus, there are 3 possible outcomes.
- There are 3 possible times: 3PM, 4PM, or 5PM. Thus, there are 3 possible outcomes again.
- There are also 9 possible classrooms available meaning another 9 possible outcomes.
- Thus, the total possible outcomes in the sample space is
Answer:
(a) The system of the equations has no solution.
(b) The system of the equations has many solutions
Step-by-step explanation:
(a) To find the solutions of the following system of equations you must:
Multiply by 2:
Subtract the equations
0 = -3 is false, therefore the system of the equations has no solution.
(b) To find the solutions of the system you must:
Isolate x for
Substitute into the second equation
The system has many solutions.
Isolate y for
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
The vertices of an hyperbola (of the form) are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).