Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
2 answers:
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Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
Finally, we can write total cost (C) as the sum of these two expressions:
Finally, our correct option is A:
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
Finally, he spent 5 hours at the beach
Answer:
The volume is changing at a rate given by:
Step-by-step explanation:
Let's recall the formula for the volume of acone, since it is the rate of the cone changing what we need to answer:
Volume of cone =
where B is the area of the base (a circle of radius R) which equals =
and where H stands for the cone's height.
We apply the derivative over time operator () on both sides of the volume equation, making sure that we apply the rule for the derivative of a product: