Secret messages can be encoded by using a code and an encoding matrix. If we have the code:  and an encoding matrix: E = , we can encode a message by taking every two letters of the message, converting them to their corresponding numbers, creating a 

/> matrix, and then multiplying each two numbers by E. Use the code and encoding scheme above and an additional encoding matrix, F = , to answer the question.If the letters to be encoded are L = , show that E(FL) = (EF)L.



What will be an ideal response?

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E(FL) =   =   = 
(EF)L =    =   = 

Mathematics

Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = , g(x) = - 
B. f(x) = , g(x) = x - 9
C. f(x) = , g(x) = x² - 9
D. f(x) = , g(x) = x² - 9

The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = 10t - t2, 0 ? t ? 10Find the body's displacement and average velocity for the given time interval.

A. 0 m, 0 m/sec B. -200 m, -20 m/sec C. 200 m, -10 m/sec D. 200 m, 20 m/sec

Find the slope and the y-intercept of the line.3x + 2y - 4 = 0

A. m = , 
B. m = -3, (0, 4)
C. m = 3, (0, -4)
D. m = - , 

Solve.The MetroCity tractor company is planning to produce a new tractor. For the first year, the fixed costs for setting up production are $400,000. The variable costs for producing each tractor are $15,000. The revenue for each tractor is $30,000. Find the total cost C(x) of producing x tractors.

A. C(x) = 15,000x B. C(x) = 400,000 + 15,000x C. C(x) = 400,000x + 15,000x D. C(x) = 30,000x + 400,000