Y=2x+5
Parallel lines have the same slopes, so you only change the 3 to a different number.
You want to start the equation like Y=2x then any number at the end.

8 0

3 years ago

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Reasons:

The matrix <em>A</em> is presented as follows;

$A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}$

Using the multiplication of a matrix and a scalar, we have;

$60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]$

Therefore;

$60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]$

Learn more about matrices here:

brainly.com/question/14296012

6 0

3 years ago

Nour and Rana are shopping for a Christmas tree. They are deciding between 222 different types of trees (real and fake) and 444

ioda

From what the statement says the question seems to be to represent the sample space of randomly choosing a type of tree and a color for the decorations

In this case, what we must do is identify the events that exist and the options that each event has, like this:

Event 1:

Tree type: real or fake

Event 2:

Colors for the ornaments: White (W), Silver (S), Gold (G) or Purple (P)

Since in an event there are 2 options and the other 4 options, the final number of options would be 2 * 4, that is, 8 options, represented below:

(real, W), (real, S), (real, G), (real, P), (fake, W), (fake, S), (fake, G), (fake, P)

The above would be the sample space of the events.

Now the probability of 1 coming out is 1 over the event total, or 1/8.

5 0

4 years ago

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