1. Write three quadratic equations with a, b, and c (coefficients of x2, x, and the constant) as:
a.) integers
b.) rational numbers
c.) irrational numbers
2. Create a real-life situation that fits into the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
3. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
4. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
a.) integers
b.) rational numbers
c.) irrational numbers
2. Create a real-life situation that fits into the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
3. A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
4. A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?