It takes 24 h to fill a large basin with two hoses, where the water in one hose flows four times as fast as the other hose. How long will it take the slower hose to fill the basin if the faster hose is not functioning?

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

Is by a(-4, 2), b(-2, 4), c(1, 3), d(2, 2).of ofto . of d′ if90° to a′b′c′d′ (-2, 2) of c″ if90° to a″b″c″d″ (4, -2) of a′′′ if° to a′′′b′′′c′′′d′′′ (3, -1) of b″ if° to a″b″c″d″ (4, 2)

X+ 4y − z = −14 5x + 6y + 3z = 4 −2x + 7y + 2z = −17