Answer:
68,600
Step-by-step explanation:
The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. 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.
Defensive Lineman:
3 from a set of 8. So
56 combinations of defensive lineman
Linebackers:
4 from a set of 7. So
35 combinations of linebackers
Defensive backs:
4 from a set of 7. So
35 combinations of defensive backs
How many different ways can the coach pick the 11 players to implement this particular defense?
56*35*35 = 68,600
68,600 different ways can the coach pick the 11 players to implement this particular defense
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
For 
-----> the interval is (-∞,-2]
For 
-----> the interval is (-2,1]
For 
-----> the interval is (1,∞)
The graph in the attached figure
8 5 and 18 8
7 2 9 2
8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6
Answer:
180 tacos and 100 burritos was sold
Step-by-step explanation:
Let <em>t</em><em> </em>represent tacos
Let <em>b</em><em> </em>represent burritos
<em>t</em><em> </em>+ <em>b</em><em> </em>= 280
<em>2t</em><em> </em>+ <em>3b</em><em> </em><em>=</em><em> </em><em>660</em>
From t + b = 280,
t = 280 - b
Substitute t = 280 - b in 2t + 3b = 660
2t + 3b = 660
2(280 - b) + 3b = 660
560 - 2b + 3b = 660
560 + b = 660
b = 660 - 560
b = 100
Substitute b = 100 in t + b = 280
t + b = 280
t + 100 = 280
t = 280 - 100
t = 180
t = tacos = 180
b = burritos = 100
