Answer:
7x² + 4x + 32
Step-by-step explanation:
13x² + 7x +21
<u>- 6x² + 3x - 11 </u>
7x² +4x + 32
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:

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>
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 is B, 21.6
Let me know if you need an explanation
The perimeter of the rectangle based on the factors given is 46.
<h3>How to calculate the perimeter?</h3>
The area of the rectangle is given as (x² + 13x - 90). This will be:
= (x² + 13x - 90)
= x² + 18x - 5x - 90
= x(x + 18) - 5(x + 18)
= (x - 5)(x + 18)
The sides of the rectangle are 5 and 18. The perimeter will be:
= 2(l + w)
= 2(5 + 18)
= 46
The area of the rectangle is given as (x² + 24x - 81.
= (x² + 24x - 81)
= x² + 27x - 3x - 81
= x(x + 27) - 3(x + 27)
= (x - 3)(x + 27)
The sides are 3 and 27. The perimeter will be:
= 2(l + w)
= 2(27 + 3)
= 60
= (x + 1)² + 3(x + 1) + 2
= (x + 1)(x + 1) + 3x + 3 + 2
= x² + x + x + 1 + 3x + 5
= x² + 5x + 6
Learn more about factors on:
brainly.com/question/219464
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