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kayla232734
30.07.2019 •
Mathematics
Solving quadratics by factoring 3x^2+33x+30=0
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Ответ:
x = -1 and -10
Hope this helps!!
Ответ:
3(x^2+11x+10)=0
3(x+10)(x+1)=0
x=-10,-1
Ответ:
Full Question:
Mrs. Steffen's third grade class has 30 students in it. The students are divided into three groups (numbered 1, 2, and 3), each having 10 students. (a) The students in group 1 earned 10 extra minutes of recess by winning a class competition. Before going out for their extra recess time, they form a single file line. In how many ways can they line up? (b) When all 30 students come in from recess together, they again form a single file line. However, this time the students are arranged so that the first student is from group 1, the second from group 2, the third from group 3, and from there on, the students continue to alternate by group in this order. In how many ways can they line up to come in from recess?
1. 3628800 ways
2. 10886400
Step-by-step explanation:
A.
If group 1 students earn 10 extra minute for recess.
A student in group 1 have 1 of 10 positions to fill in
Another student has 9 possible positions
Another has 8 possible positions
Till it gets to the last
So, The 10 students have 10! Number of ways to line up
10! = 3628800
B.
Each of the group have 30 positions to line up
But they must be lined up in 3s (to accommodate each group)
Group 1 has 10! Ways of lining up;
Group 2 has 10! Ways
Group 3 has 10! Ways
So, possible arrangements = 10! * 3
= 10886400