Answer: True
Step-by-step explanation: Natural numbers are the set of counting numbers and they begin at 1 and go on forever. All natural numbers are real numbers. In fact, the majority of numbers are real numbers such as imaginary numbers.
The list of choices you included doesn't have any correct expressions on it.
-- If the rocket went straight up, and then dropped back at the same place
it was launched from, then it must have dropped straight down.
-- The route it followed on the way down was exactly the same as the
route it followed on the way up.
-- Since it reached a maximum height of 150-ft from the ground
and the route was straight, the length of the route was 150-ft.
-- (150-ft going up) plus (150-ft coming down) = 300-ft traveled all together.
Answer:
Factors of 16: 1, 2, 4, 8, 16
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Common factors: 1, 2, 8, 16
GCF: 16
The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
sides 4
angles 4
relationship: both are quadralaterials