Answer:

x is the number of years and y is the value at x years
The given function f(x)=-15x²+6000 represent a parabola or a quadratic equation.
Where x= time (in seconds) and f(x)= height (in feet).
Domain is the set of values of x at which the function must be defined. But there is no restriction for a quadratic function because it can take any value of x. Hence, domain of all quadratic functions or parabola are always
-∞≤x≤∞ or all real numbers.
So, domain of given function is " all real values of x".
Answer:
B
Step-by-step explanation:
A is correct because
was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that 
so
is correct
D is correct because using the fact that
it is easy to figure out that x=12
For B, there is no property supporting that statement.
Answer:
B
Step-by-step explanation:
The equation
represents the total number of kittens, where
represents <u>the number of weeks that have passed since Samantha started counting.</u>
This means options C and D are false, because they say <u>the total number of kittens that have come into the shelter</u>.
represents the number of weeks, weeks can be counted 0 weeks, first week, second week and so on, so option B is true (the domain is all whole numbers) because 0, 1, 2, 3, ... are whole numbers.
Number of weeks can't be a negative number. Since "real numbers" include negatives, therefore, we exclude option A.