Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly? A. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. B. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 2 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. C. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 13.75 is given. D. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12 and 1 dot on 14.125 is given.

Zroms according to the synthetic division below, which of the following statements are true? check all that apply. 352 -2 6 -12 12 2 4 0 i a. (x-3) is a factor of 2x2 - 2x - 12. b. the number 3 is a root of f(x) = 2x2 - 2x - 12. c. (2x2 - 2x - 12) = (x + 3) = (2x + 4) d. (2x2 - 2x-12) - (x-3) = (2x + 4) e. (x+3) is a factor of 2x2 - 2x - 12. o f. the number -3 is a root of fx) = 2x2 - 2x - 12. previous

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Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24