Answer:
alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer
Answer:
Step-by-step explanation:
It's 6
Hi there!
I like to think of input and output like coordinates on a graph. So, the input is also called domain, and is also the x coordinate on a graph. The output is also called the range, and is also the y coordinate. For example, in the coordinate (5,7), 5 would be the input, and 7 would be the output.
Now for relation and function. A function is where each x, or the input, can only be assigned to one y: but this is where it gets a little tricky. Although an x value can only be assigned to one y, and y value can be assigned to multiple x's. Let's say for the x values you have 3 and 8, and for your y values you have 7 and 4. 3 can't be assigned to both of these, however, both 3 and 8 could be assigned to the same y. (feel free to ask me for more clarification on this, I know it's a little hard to remember). For relation, it's the opposite of what I just explained. The x values can be assigned to as many of the y values they want. For example, with the last numbers, 3 could be assigned to both 7 and 4 at the same time.
Again, feel free to ask me for more clarification, I'm just trying to keep this from sounding really complicated.
I hope I helped! :)
Answer:
Step-by-step explanation:
We are given:
And we want to evaluate it using L'Hopital's Rule.
First, using direct substitution, we will acquire:
Which is indeterminate.
In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:
By taking the natural log of both sides:
And by taking the limit as x approaches 1 from the right of both functions:
Rewrite:
Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:
Simplify:
Simplify:
Now, by using direct substitution, we will acquire:
Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:
Finally, direct substitution yields:
Thus:
By the Composite Function Property for limits:
Raising both sides to e produces:
Therefore:
Substitution:
B and E. B has the same variable for both numbers.
