A portion of the graph of f(x) = −x2 + 6x − 5 is shown. Which of the following describes all solutions for f(x)? a partial parabola opening down and passing through 1 comma 0 and 5 comma zero with endpoints at 0 comma negative 5 and 6 comma negative 5

(x, y) for all real numbers
(x, −x2 + 6x − 5) where 0 ≤ x ≤ 6
(x, −x2 + 6x − 5) where 1 ≤ x ≤ 5
(x, y) where 1 ≤ x ≤ 5

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

One hectometer is a) 1/1000 of a meter. b) 1/100 of a meter. c) 10 meters. d) 100 meters. e) 1000 meters.

If a is a nonzero real number then the reciprocal of a is