A delivery of lumber arrives at the school. Mr. Johnson asks Carlos to show the deliverymen to the classroom that has a number equal to the quotient of 5,286. How many digits will the classroom number have? Explain your mathematical reasoning.

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

Each equation given below describes a parabola. which statement best compares their graphs? x = 2y^2 x = 8y^2

The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?