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Mathematics 8 Online
OpenStudy (anonymous):

Can someone help me? Please show all steps! I can't figure this out. :( Assign each letter and a blank space to a number as shown by the alphabet table below. *I'll post a pic of the table and the phrase/matrix.

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@Hero

OpenStudy (anonymous):

@mathmale

jimthompson5910 (jim_thompson5910):

If you were to replace O with 15, N with 14, E with 5, etc what number sequence do you get for the phrase "ONE QUESTION TO GO" ?

Miracrown (miracrown):

The first step is to write out the phrase in terms of the numbers it corresponds to. so ONE would be like 15 14 5. So that's the first step. keep in mind a space between words is represented by a 0.

Miracrown (miracrown):

so what would the phrase be in numbers? you can write it down and i'll work it out too to check

OpenStudy (anonymous):

So.. (15)(14)(5) 0 (17)(21)(5)(19)(20)(9)(15)(14) 0 (20)(15) 0 (7)(15)

OpenStudy (anonymous):

Sorry it took so long, @Miracrown and @jim_thompson5910. Is that the right sequence?

jimthompson5910 (jim_thompson5910):

That looks correct

jimthompson5910 (jim_thompson5910):

There are 18 numbers in that sequence Cut it in half to get 2 sections (of 9 numbers each). Then stack the first set of 9 numbers over the second set to get this matrix \[\Large \begin{bmatrix}15 &14 &5 &0 &17 &21 &5 &19 &20 \\9 &15 &14 &0 &20 &15 &0 &7 &15 \end{bmatrix}\]

jimthompson5910 (jim_thompson5910):

That is a 2x9 matrix (2 rows, 9 columns)

jimthompson5910 (jim_thompson5910):

Then you multiply that 2x9 matrix with the given 2x2 matrix \[\Large \begin{bmatrix}1 & -2\\ -3 & 7 \end{bmatrix}\begin{bmatrix}15 &14 &5 &0 &17 &21 &5 &19 &20 \\9 &15 &14 &0 &20 &15 &0 &7 &15 \end{bmatrix} = ???\]

OpenStudy (anonymous):

|dw:1397014138304:dw|

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