Distributive property
a. 5 •1 = 5

b. 3 + 7 + 2 = 3 + 2 + 7

c. 3(x - 6) = 3x - 18

d. (a + 4) + 2 = a + (4 + 2)

e. x(1/x) = 1

Inverse property of multiplication

Identity property of multiplication

Associative property of addition

Commutative property of addition

the science club has 42 people and the robotics club has 33

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

first one because it can't have a fraction in it

step-by-step explanation: