Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the ground in yards after 2
seconds is given by the function:
h(x) = -5x2 + 10x + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as
you found in part b from the previous example. To find the
maximum height, we would substitute in for r in our
function and simplify.
The maximum height reached by the rocket was yards.
What is the time it takes for the rocket to hit the ground? (Use a
graph or any other method to solve.)
It takes approximately
seconds for the rocket to hit the
ground. (Round to the nearest tenth.)

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