The next step of your proof is to subtract (a/b) from both sides.
Then you get, x = (m/n) - (a/b)
Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.
Therefore, x (an irrational number) = a rational number <em>This is a false statement which is a contradiction. So, the assumption was incorrect.</em>
Thus, the sum of a rational and irrational number is an irrational number. QED
Answer:
as discriminant = 9, it has two real solutions.
Step-by-step explanation:
for eqn ax^2 + bx + c, discriminant = b^2 - 4ac
y = 4x^2 - 5x + 1
discriminant = (-5)^2 - 4(4)(1)
= 25 - 16
= 9
as discriminant > 0, it has two real solutions.
There are 12 marbles in total. 4 of them are white.
The probability of getting a white marble on the first try is 4/12 or 1/3.
The probability of getting a second white marble in a row? Since you already pulled out a white marble on the first attempt, there are now 3 white marbles and 11 marbles in total. So the probability of getting a white marble at this point is 3/11.
Thus the probability of doing this back to back is 1/3 * 3/11 or 3/33 or 1/11.
The answer is B.
31pie hope it helps not look
For 18 bags of trail mix, she will need 4.5 cups of peanuts
