WRITE THE PREDECESSOR OF THIS NUMBER 963,380
1 answer:
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Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005 362,880 3,603,600 1,816,214,400
The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005 362,880 3,603,600 1,816,214,400
The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
Answer:
C. 2x-y>-7
Step-by-step explanation:
The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.
The equation of a line is y=mx+b, where 'm' is the slope.
'm' can be obtained using the following formula.
To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively
Evaluating those point in the formula we have 'm' =2
Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.
7=2*0+b7
b=7
Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.
Now, since our line is not part of the region, and the region is below that line, there is the < sign.
Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs) 2x-y>-7
Answer:
Step-by-step explanation:
Subtract 12 from both sides.
Divide both sides by 4.
Check our work with substitution:
We see that our work is correct.