Alex C.

Student at Stanford University, tutor for one year

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Pre-Calculus

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Question:

Find the x coordinate of the vertex of y = 3x^2 -4x + 2.

Alex C.

Answer:

By using the formula -b/(2a), we find that the x coordinate of the vertex is 4/6, or x = 2/3

Calculus

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Question:

For what values is the function f(x) = 1/x continuous?

Alex C.

Answer:

The function is continuous for all real values except x = 0, because the function is undefined at that point.

Algebra

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Question:

Joshua recently got a raise of 20%. If his new wage is $26,000, what was his starting wage?

Alex C.

Answer:

26000 = 1.2(x), where x is his starting wage. After dividing both sides of the equation by 1.2, we get $21,666.67.

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