Final answer:
In the algebraic expression 6b³ + 2b² - y + 9, the variables are b and y, while the constants are the numbers 6, 2, and 9.
Step-by-step explanation:
The question asks to identify the variables and constants in the algebraic expression 6b³ + 2b² - y + 9. In an algebraic expression, a variable is a symbol that represents a number that can change or vary, while a constant is a fixed value.
In this expression, b and y are variables because they stand for numbers that can vary. The numbers 6, 2, and 9 are constants because they are specific, fixed numbers that do not change. Note that b is raised to different powers, but it remains a variable in all terms. The constants in the given expression do not match the constants a = 1.00, b = 10.0, and c = -200 referenced in the non-related provided information.
While the expression itself is not quadratic, it is important to know that in quadratic equations of the form ax² + bx + c = 0, the quadratic formula can be used to find the values of the variable x when a, b, and c are constants. In this context, a, b, and c do not represent specific numbers but rather constant values that are part of the equation's standard form.