For which of the following compound inequalities is there no solution? x < 3 and x ≥ 5 3 < x ≤ 5 x < 3 and x ≤ 5 x <
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Answer:
Step-by-step explanation:
We have been given an equation . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:
Dividing both sides by 2:
Splitting the middle term:
Using zero product property:
Therefore, the zeros of the given equation are .
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:
Therefore, the equation represents the line of symmetry of the given parabola.