We have encoded a message by assigning the numbers 1 - 26 to the letters a - z of the alphabet, respectively, and assigning 27 to a blank space. We have further encoded it by using an encoding matrix. Decode this message by finding the inverse of the encoding matrix and multiplying it times the coded message.The encoding matrix is A = 
and the encoded message is 9, 11, 56, 9, 10, 55, 12, -3, 43, 9, 5, 30.
Fill in the blank(s) with the appropriate word(s).
it is living
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Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -x2 + 2x
A. vertex: (1, 1)
axis of symmetry: x = 1
x-intercepts: 0 and 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
B. vertex: (-1, 1)
axis of symmetry: x = -1
x-intercepts: 0 and - 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
C. vertex: (1, -1)
axis of symmetry: x = 1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]
D. vertex: (-1, -1)
axis of symmetry: x = -1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]
Write the decimal in words.-0.048
A. negative forty-eight thousandths B. negative forty-eight hundredths C. negative forty-eight ten-thousandths D. negative forty-eight hundred-thousandths
Use the rules for exponents to rewrite the expression and then evaluate the new expression. 
A. 0 B. -12 C. 1 D. -4
The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. 
Between what two years is the difference in function values equal to 5%?
A. between 1995 and 2000 B. between 1990 and 1995 C. between 1980 and 1985 D. between 1970 and 1975