Four students are verifying that
x2 + x-12 = (x - 3)(x + 4). Their conclusions are presented in the table.
Damien
Lauryn
Rico
Latisha
3(-4) = -12, so the
factors are correct
4+3 =-1, so the
factors are correct
4(3) = -12 and
|--4+3 = -1, so the
factors are correct
4(-3) = -12 and
--3+4 = 1, so the
factors are correct
Which student correctly verified that x2 + x - 12 = x - 3x + 4)?
Damien
Lauryn
O Rico
Latisha

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