Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
4 guests from a set of 15. So

The first 4 guests can arrive in 32,760 ways.
Answer:
x = 1
Step-by-step explanation:
For a quadratic function
, the axis of symmetry is
.
This comes from using part of the Quadratic Formula for finding zeros of the function:

See the -b/(2a) in the first term? That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function. The axis of symmetry goes through the vertex.
6,042 is thousand and 1.012 is thousandths <span />
Answer:
A: Opposite sides of a parallelogram are congruent
Step-by-step explanation:
The only diagonal involved is BD, so none of the statements regrading diagonals has been proven. The only thing proven is ...
AB ≅ CD . . . . opposite sides are congruent
AD ≅ CB . . . . opposite sides are congruent
Answer:
122
Step-by-step explanation:
They are equal