Match each equation to the property used.
associative property of addition
associative property of multiplication
x • (y - 3) = (x+y) 3
(x + y) + 3 = 3 + (x + y)
(x + y) + 3 = x + (y + 3)
x • (y - 3) = x • (31)
commutative property of addition
commutative property of multiplication

Simplify the expression and find the missing terms. the simplest form of has in the numerator and in the denominator.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Rachel is studying the population of a particular bird species in a national park. she observes every 10th bird of that species that she can find in the park. her conclusion is that the birds living in the park who belong to that species generally feed on insects. rachel's sample is . based on the sample she picked, rachel's generalization is . reset next