Which of the following conclusions is true about the statement below?
X^2√x
Multiple Choice:
The statement is never true.
The statement is true when x is negative.
The statement is true when x=0.
The statement is always true.
I don' see no steenking statement!
Choose the TRUE statement(s) about
2
.
I)
2
is between 1 and 2
II)
2
is between 1.3 and 1.4
III)
2
is between 1.4 and 1.5
This is easy
To determine which of the following conclusions is true about the statement X^2√x, we need to analyze the statement itself.
Let's break down the expression X^2√x:
X^2 represents X raised to the power of 2, which means X multiplied by itself: X * X.
The symbol √ represents the square root, so √x represents the square root of x.
Combining these two parts, X^2√x can be rewritten as X * X * √x.
Now, let's evaluate the conclusions:
1. The statement is never true: This conclusion is not accurate because for any real number X and x, there will be cases where X^2√x will result in a nonzero value. For example, if X = 1 and x = 1, then X^2√x will be 1 * 1 * 1 = 1.
2. The statement is true when x is negative: This conclusion is also not accurate because even when x is negative, X^2√x can still be a valid expression. For instance, if X = 2 and x = -4, then X^2√x will be 2 * 2 * (√-4) = 2 * 2 * 2i, where i represents the imaginary unit (√-4 = 2i).
3. The statement is true when x=0: This conclusion is also incorrect since when x is 0, X^2√x will become X^2√0 = X^2 * 0 = 0.
Based on the above analysis, the correct conclusion is:
4. The statement is not always true.