Answer:
-a^2 - a + 12
Step-by-step explanation:
You only need to find the products of the first and last terms to determine the correct answer:
(-a)(a) = -a^2
(3)(4) = 12
You're looking for an expression with -1 as the leading coefficient and +12 as the constant. There is only one choice like that:
-a^2 - a + 12
Answer:
Oakdale
Step-by-step explanation:
The median can be seen inside the rectangle in the box-and whisker plot. It is the point in the middle, cutting the rectangle in two. Looking at the plots, Oakdale has a lower median.
Answer:
Step-by-step explanation:
We can rewrite the equation as
Notice that we have 
in both the numerator and the denominator, so it looks like we can divide it out. However, what if is 
? Then we would have 
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for 
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at . In the simplified version of the function, if we plug in , we get
So the point is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at 
(since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of 
Answer:
4 cm
Step-by-step explanation:
to find the volume you multiply the lengths of all three sides together:
let 'm' = missing side
32 = 4·2·m
32 = 8m
m = 4
Answer:
(when x = 0)
Step-by-step explanation:
The initial value of the exponential equation is:
