Some rational numbers are integers. True or false
The radius of a circle and its circumference.
Direct or inverse
f(x) 0.08x^3 + 0.6x + 2.8
Rational function, another polynomial function
Quadratic function.
Some rational numbers are integers.
(all I need is one example)
fraction--- 6/2
ineger ---- 2
is 6/2 = 2 ?
The circumference of a circle varies directly with its radius
f(x) = .08x^3 + .6x + 2.8
- certainly not a quadratic , (I see a cub)
- I certainly don't see any variables in a denominator
mmmhhh?
To determine whether some rational numbers are integers, you need to understand the definition of rational numbers and integers. Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Integers, on the other hand, are whole numbers (both positive and negative) and zero (0).
So, to answer the question, we can say that some rational numbers are indeed integers. For example, 3/1 = 3, -5/1 = -5, and 0/1 = 0. These are all rational numbers that are also integers.
Moving on to the next question about the radius of a circle and its circumference, the relationship between them can be described as direct. The circumference of a circle is directly proportional to its radius. This means that when the radius increases, the circumference also increases, and when the radius decreases, the circumference decreases proportionally. The formula for the circumference of a circle is given by C = 2πr, where C represents the circumference and r represents the radius.
In the case of the function f(x) = 0.08x^3 + 0.6x + 2.8, it is a polynomial function. A rational function, on the other hand, is defined as the ratio of two polynomial functions. Since there is only one polynomial function present in f(x), we can conclude that it is not a rational function.
Lastly, a quadratic function is a specific type of polynomial function. It is a polynomial of degree 2, meaning the highest power of x is 2. The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants. The given function f(x) = 0.08x^3 + 0.6x + 2.8 is not a quadratic function because it has a higher degree (3).