Rational numbers are numbers that can be expressed as a fraction (ratio). Irrational numbers can not be expressed like that (like sqrt(2)).
To prove your statement, assume the opposite until you have a contradiction.
If the result of adding them would be rational, then your irrational number can be expressed as the difference of two rational numbers, which itself is also a rational number. That cannot be, because it should be an irrational number. This contradiction forces that rational + irrational = irrational.
You can reason the same way for multiplication. Suppose rational * irrational = rational, you find that your irrational can be expressed as the fration of two rationals, which is a contradiction.
¼ price is equals to %25 of the book price which mean the write option is B .
F(x) = (x+3)(x-2) → f(x) = x² + x - 6
1st : The coefficient a > 0, the parabola opens upward,
2nd: The x-= intercepts are x = - 3 & x= +2 ( the values that render f(x) = 0
3rd: For x = 0, y = - 6 (this is y intercept)
The only figure that corresponds to those specifications is the 1st graph
Answer:
1,520,000 liters of water
Step-by-step explanation:
4x10^4= 40000. 38x40000=1,520,000
1.52x10^6
Answer: The probability of an odd number is 1/2, and the probability of a tail is also 1/2, so the probability of both occurring is the product, 1/4.
Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers