<span> 3a^3+8a-6
+4a^2-9a+11
=3a^3+4a^2-a+5
</span>
Answer:
Total crackers on the plate are 12
Step-by-step explanation:
Manuel ate crackers = 
His brother ate crackers = 
Crackers left on the plate = 5
We need to find how many crackers were there on the plate.
Let x be the total crackers on the plate
So, we can write the equation

Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5

So, we get x = 12
Therefore, total crackers on the plate are 12
Answer:
The area of the circle is 
Step-by-step explanation:
we know that
The area of a circle subtends a central angle of
radians
so
By proportion find the area of the circle

Answer as an inequality: 
Answer in interval notation: 
Answer in words: Set of positive real numbers
All three represent the same idea, but in different forms.
======================================================
Explanation:
Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is 
For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.
Because of this,
has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.
The domain of
is x > 0 which in interval notation would be
. This is the interval from 0 to infinity, excluding both endpoints.
------------------------
The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.
So,

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.
------------------------
In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation: