Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).
Rational numbers are fractions, or quotients, of two integers.
Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15
Natural numbers are whole, positive numbers.
Integers are whole, non-fraction numbers.
ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).
Hope this helps! :)
Answer: x-intercept is -9
Step-by-step explanation: To find the x intercept y is 0 and to find the y intercept x is 0. 18 divided by -2 is -9, which is the answer
Answer:
![[ln \frac{x(x^2 + 1)}{(x + 1)}]^\frac{3}{2}](https://tex.z-dn.net/?f=%5Bln%20%5Cfrac%7Bx%28x%5E2%20%2B%201%29%7D%7B%28x%20%2B%201%29%7D%5D%5E%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
![\frac{3}{2} [ln x(x^2 + 1) - ln(x + 1)]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%5Bln%20x%28x%5E2%20%2B%201%29%20-%20ln%28x%20%2B%201%29%5D)
ln(m/n)= lnm - ln(n)
![\frac{3}{2}[ln x(x^2 + 1) - ln(x + 1)]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Bln%20x%28x%5E2%20%2B%201%29%20-%20ln%28x%20%2B%201%29%5D)
![\frac{3}{2}[ln \frac{x(x^2 + 1)}{(x + 1)}]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Bln%20%5Cfrac%7Bx%28x%5E2%20%2B%201%29%7D%7B%28x%20%2B%201%29%7D%5D)
3/2 is before ln. so we move the fraction 3/2 to the exponent
as per log property we move the fraction to the exponent
![[ln \frac{x(x^2 + 1)}{(x + 1)}]^\frac{3}{2}](https://tex.z-dn.net/?f=%5Bln%20%5Cfrac%7Bx%28x%5E2%20%2B%201%29%7D%7B%28x%20%2B%201%29%7D%5D%5E%5Cfrac%7B3%7D%7B2%7D)