(03.04) For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points) The vertex is (-1, 4), the domain is all real numbers, and the range is y ≥ 4. The vertex is (-1, 4), the domain is all real numbers, and the range is y ≤ 4. The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4. The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.

Which of the following answers is 5/25 simplified? 1/5 5/5 2/5 1/25

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

5, 6, 10 question: a. determine whether the side lengths form a triangle. (explain your reasoning) b. if it is a triangle, determine whether it is a right, acute, or obtuse triangle. (show your work)