Evaluate the function below for x = 4. F(x) = x3 + 2x2 + 1
1 answer:
You might be interested in
Answer:
BC= 23.0km (nearest tenth)
Step-by-step explanation:
Please see the attached picture for full solution.
The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.
<h3>How to find the length of the rooms?</h3>Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).
- 50: 50 25 10 5 1
- 90: 90 45 30 18 15 10 9 6 5 3 2 1
The greatest common number is 10, so 10 meters is the length of the room.
<h3>How to find the width?</h3>Use the formula
- A = lenght x width or width = area / lenght
Kitchen.
- Width: 50 / 10
- Width: 5 meters
Dining room:
- Width: 90 / 10
- Width: 9 meters
Note: In this question the diagram is missing; below, I attach the diagram.
Learn more about greatest common factor in: brainly.com/question/282609
Solving quadratic equations, it is found that he needs to charge:
1. He needs to charge $40 to break even.
2. He needs to charge $30 for a profit of $600.
<h3>What is a quadratic function?</h3>A quadratic function is given according to the following rule:
The solutions are:
In which:
The profit equation in this problem is:
P(x) = -3x² + 150x - 1200.
He breaks even when P(x) = 0, hence:
-3x² + 150x - 1200 = 0.
The coefficients are a = -3, b = 150, c = -1200, hence:
He needs to charge $40 to break even.
For a profit of $600, we have that P(x) = 600, hence:
-3x² + 150x - 1200 = 600.
-3x² + 150x - 1800 = 0.
The coefficients are a = -3, b = 150, c = -1800, hence:
He needs to charge $30 for a profit of $600.
More can be learned about quadratic equations at brainly.com/question/24737967
#SPJ1