Answer:
67/8
Step-by-step explanation:
0.375 = 375/1000
375/1000 = 3/8
8x8 = 64
64 + 3 = 67
67/8
1.
Let N be the number of coins of Alex
2a+1=N
3b+1=N
4c+1=N
5d+1=N
6e+1=N
7f+1=N
so N-1 is a multiple of 2, of 3, of 4, of 5, of 6 and of 7
so N-1 has factors 7*6*5*2*X, where X is another factor.
2.
There is no need to write N-1 as 7*6*5*3*2*4, since being a multiple of 6, means being a multiple of 2, and of 3 as well. Also, no need to write *4, since 6 has already *2, but we need one more 2, that why we write 7*6*5*2*X
(7*6*5*2=420 is the LCM, least common multiple of 2,3,4,5,6,7)
3.
N-1=420*X.
X cannot be 2 or more since N would become larger that 800.
X must be 1, so N-1=420, which means N=421 is the number of coins
The problem statement gives the correct answers for parts (a) and (b). The total number of roots of the characteristic polynomial is the dimension of the matrix: 6. The eigenvalues are the zeros of the characteristic polynomial, 3 (multiplicity 2), 6 (multiplicity 3), and -1.
(c) The matrix is not invertible when one or more eigenvalues is zero. None of yours are zero, so the matrix is invertible.
Answer: The correct answer would be a=1.
Answer:
-12/20
hope this helps
have a good day :)
Step-by-step explanation: