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kvasek [131]
3 years ago
10

The cost of Jake's cell phone bill is determined by how many megabytes of data he uses each month, as shown in the graph below.

Which equation represents the cost of Jake's cell phone bill, y, based on his data usage in megabytes x?
A. y=0.5x 40
B. y=2x 40
C. y=40x 0.5
D.y=40x 2
Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

"The graph below" is an important source of information here.  In fact, you
actually can't answer the question without it.  That's a big part of the reason
it was printed right there in the same place you copied the question from.


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Answer: a) AB = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right] ; b) \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right] ; c) No, they are different; d) No, they are never the same;

Step-by-step explanation:

a) A = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] , B = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.

AB = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] . \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]

b) BA = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] . \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] = \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]

c) As, we can see, parts a and b are differents.

d) With matrices, multiplication is not commutative, which means AB≠BA

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