The average annual wage of workers from a certain country for selected years from 2011 projected through 2021 can be modeled by y = 2424x + 38,580, with y equal to the average annual wage in dollars and x equal to the number of years after 2010. When does the model project that the average annual wage of workers in the country will be
at least $67,240

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

What is the slope of the line shown below?

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?