Answer:
integers ∪ [0, ∞)
Step-by-step explanation:
The floor function gives the largest integer not greater than the input value. For non-negative numbers, that is the integer portion of the number, as Jim says.
However, for negative numbers, the floor is one less than the integer portion of any number that has a non-zero fractional part.
floor(1.2) = 1
floor(0.2) = 0
floor(-0.2) = -1
floor(-1.2) = -2
For any integer, negative or otherwise, the floor function gives that integer value.
Jim is correct on the domain of all integers and positive non-integers.
Answer:
x is all real numbers
Step-by-step explanation:
5(x-7) + 42 = 5x+7
Distribute
5x - 35 +42 = 5x+7
Combine like terms
5x +7 = 5x+7
Subtract 5x from each side
7=7
This is always true, so x can be any number
Answer: The solutions are x=4 and x=-4
Step-by-step explanation: This is a quadratic equation, so we need to find when the equation equals 0. The values 4 or -4 both make it 0.
(if it is asking for you to factor it out, it is x^2 -16)
Answer: 15.71
Step-by-step explanation: The the lateral surface area of a right circular cone with radius and height is given as
Substituting the value of r and h
the value gives 15.71
