We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
Answer:
72 sides
Step-by-step explanation:
The sum of the angles of a polygon with n sides is (n−2) × 180
Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n
Each angle is equal to 175
(n−2) × 180 / n = 175
Multiply each side by n
(n-2)180 = 175n
Distribute
180n -360 = 175n
Subtract 180n from each side
180n-180n-360 = 175n-180n
-360 = -5n
Divide each side by -5
-360/-5 =-5n/-5
72 = n
There are 72 sides
2x + 3y = 18
3y = 18 -2x
y = (18/3) - (2/3)x
y = 6 - 2/3x
y =-2/3x + 6