F(x) = x2 + 1 g(x) = 5 – x (f – g)(x) =
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The total number of ways by words are formed is 35 ways.
According to the statement
We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.
And we have to find the possible ways.
So, The given words are:
TEXAS and MEXICO
Here X = 2 and E = 2 and all other words are one time used words.
We can find possible ways by use of combination and permutation.
So,
Total number of ways =
here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.
So,
Total number of ways =
Total number of ways =
Total number of ways =
Total number of ways = 15 + 20
Total number of ways = 35.
So, The total number of ways by letters are formed is 35 ways.
Learn more about combination and permutation here
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m x H =
Step-by-step explanation:
Step 1; Multiply 5 with this matrix and we get a matrix
Multiply the fraction with the matrix
and we get
Step2; Now equate corresponding values of the matrices with each other.
-5 = and so on. By equating we get the value of m as
Step 3; Add the matrices to get the value of matrix m.
Adding the three matrices on the RHS we get .
Step 4; Adding the matrices on the LHS we get the resulting matrix as H +
. Equating the matrices from step 3 and 4 we get the value of H as
Step 5; Now to find the value of m x H we need to multiply the value of with the matrix
Step 6; Multiplying we get the matrix m x H = [ -25
]