The balanced scale represents the equation: 3x + 1 = x + 3
1 answer:
<u>Given</u>:
The given balanced scale is represented by the equation
----- (1)
We need to determine the process that balance the scale.
<u>Process to balance the scale:</u>
Given that the if one x block is subtracted from the right side and three numbered blocks are subtracted from the left side.
Thus, the equation (1) becomes
----- (2)
Now, to balance the scale, let us subtract one block x from the left side and subtract three numbered blocks from the right side.
Thus, the equation (2) becomes,
------ (3)
Thus, the equation (3) is the same as the equation (1).
Hence, the process required to balance the scale is to subtract one x block from the left side and subtract three numbered blocks from the right side.
Therefore, Option B is the correct answer.
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The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
<h3>How to determine the number of real zeros?</h3>The equation of the function is given as:
Expand the function
Reorder the terms
Factor the expression
Factor out x -1
Expand
Factorize
Factor out x + 2
The function has been completely factored and it has 3 linear factors
Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
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