Answer:
4
Step-by-step explanation:
The common ratio is found by taking the second term and dividing by the first term
12/3 = 4
We can check by taking the third term and dividing by the second
48/12 = 4
The common ratio is 4
Answer:
1. $427.50
2. 50 hours
Step-by-step explanation:
1. First, find your salary at minimum hours, which is $360. Then, take your second equation, plug in 45, and solve using PEMDAS. This will give you $427.50
2. To solve this, you'll need to set it up like so:
495 = 13.5 (x - 40) + 360
Your next step will be to distribute the number outside the parentheses. This will give you:
495 = 13.5x - 540 + 360
Simplify, like so:
495 = 13.5x - 180
Solve.
495 = 13.5x - 180
+180 +180
This will give you:
675 = 13.5x
Divide each side.
675 = 13.5x
------ -------
13.5 13.5
50 = x
IF USING GEOMETRY...
x-axis = (x, -y)
Because the x does not have a negative sign the number DOES NOT change to its opposite form, but because the y has a negative sign the number DOES changes to its opposite form (from negative number to positive.)
So... if we use the formula of x-axis, which is (x, -y), the coordinates (-7,-3) would change to (-7, 3)
ANSWER (-7, 3)
Answer:
48
Step-by-step explanation:
2 + 2 is 4, 1 - 4 is -3, 3 - 4 is -1 and +4 is 4 if you multiply these together, you will get 48.
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!