Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

Where n is the number of items you can choose and choose r from them.
In this case
and 



Answer:
A. y - 7 = -4(x + 2)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE <em>MULTIPLICATIVE INVERSE </em>[<em>RECIPROCAL</em>] <em>rate of changes</em> [<em>slopes</em>], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.
Answer:
I will assume the second equation is y=2x^3. If it is y=2x+3 or y=2x-3, the lines will never intersect: they have the same slope (2):
Step-by-step explanation:
2x – y = 7 can be rewritten as: y = 2x -7. It has a slope of 2. The second equation, y = 2x 3, isn't clearly written. If the 3 has a plus or minus sign, then the lines will never intersect: they have the same slope, 2.
I'll assume the second equation is y=2x^3.
See attached graph.
Answer:
3
d
=
−
36
Step-by-step explanation: