25% of 40 emails were spam how many emails were spam
1 answer:
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The row echelon form of the matrix is presented as follows;
The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.
The given matrix is presented as follows;
The conditions of a matrix in the row echelon form are as follows;
- There are row having nonzero entries above the zero rows.
- The first nonzero entry in a nonzero row is a one.
- The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.
Dividing Row 1 by -3 gives:
Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;
Subtracting Row 1 from Row 3 gives;
Adding Row 2 to Row 3 gives;
Dividing Row 2 by -2, and Row 3 by 18 gives;
The above matrix is in the row echelon form
Learn more about the row echelon form here:
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Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
The transformed function is
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:
Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.
Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=>
x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000
= $2000
The youngest child will receive $2000.