Answer:
84 different lineups are possible
Step-by-step explanation:
The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
 is the number of different combinations of x objects from a set of n elements, given by the following formula.
 is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
6 musics from a set of 9. So

84 different lineups are possible
 
        
             
        
        
        
Answer:
A. d ≤ –7 or d > 8.
Step-by-step explanation:
Given  : 2d + 3 ≤ –11 or 3d – 9 > 15.
To find : What are the solutions of the compound inequality .
Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.
For  2d + 3 ≤ –11 
On subtracting both sides by 3
2d  ≤ –11 - 3 .
2d  ≤ –14.
On dividing both sides by 2 .
d  ≤ –7.
For  3d – 9 > 15.
On adding both sides by 9.
3d > 15 + 9 .
3d > 24 .
On dividing both sides by 3 .
d > 8 .
So, A. d ≤ –7 or d > 8.
Therefore,  A. d ≤ –7 or d > 8.
 
        
             
        
        
        
Answer:
j
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Part 1) The domain of the quadratic function is the interval  (-∞,∞)
Part 2) The range is the interval  (-∞,1]
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range 
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval 
(-∞,k]
Find the vertex

Factor -1 the leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (7,1)
therefore
The range is the interval 
(-∞,1]
 
        
             
        
        
        
This is my answer that's a less than or equal sign