Owen is an hourly employee, and the line that models his total pay in dollars as it relates to the number of hours he has worked
has a slope of 25 and a y-intercept of 15. Which statement is true ?
2 answers:
Answer with explanation:
Slope of line ,that models his total pay in dollars as it relates to the number of hours he has worked = 25
And, y Intercept of Line = 15
Equation of line in slope Intercept form is given by:
y = m x + c, where, m is the slope of line, and c is y intercept.
We have to find the equation of line, which is representation of Owen pay in dollars and number of hours he worked.
So, equation of line is given by:
→ y =25 x + 15
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Answer:
Step-by-step explanation:
The <em>transpose of a matrix </em> is one where you swap the column and row index for every entry of some original matrix
. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation
and
to refer to the entry in the i-th row and the j-th column of the matrices
and
respectively:
Constructing the matrix from those entries gives us
which is option a. from the list.
Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!
