Answer:
Step-by-step explanation:
We want to find the equation of the tangent line to the function:
At the point (-2, 6).
First, we will need the slope of the tangent line. So, differentiate* the function:
Find the slope when <em>x</em> = -2:
Now, we can use the point-slope form:
Our point is (-2, 6) and our slope is -11. Substitute:
Simplify:
Distribute:
And add six to both sides. Therefore, our equation is:
If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:
Here,<em> x</em> = -2. Substitute:
Substitute (we are given the point (-2, 6). So, f(-2) = 6).
Expand and simplify:
Distribute:
Simplify:
Evaluate the limit (using direct substitution):
Answer:
17 /6 t
Step-by-step explanation:
3t2+4t3
=32t+43t
Combine Like Terms:
=32t+43t
=(32t+43t)
=176t
Number of periods to double = 72/interest rate %
<span>72/0.43* = 166.15 months = 13.85 years. </span>
The answer is: 250 adult tickets were sold.
To be safe, prove that your answer is correct.
If there are 74 more student tickets than adult tickets, the amount of adult tickets must obviously be less.
Explanation:
74 more than 250, or 250+74 is 324.
250+324=574.
Now, you know the answer is correct. It satisfies all of the given conditions.
Also, note that the difference between the number of student tickets and adult tickets is 74.
So, there are 250 adult tickets and 324 student tickets.