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Math Quiz - Grid questions

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1. A quadratic function is given by f(x) = 2x^2 - 5x + 3. Find the x-coordinate of the vertex of the parabola.

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2. A mixture of 20% alcohol solution is combined with a 40% alcohol solution to make a final mixture of 30% alcohol. If the final mixture is 10 liters, how many liters of the 20% alcohol solution were used?

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3. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. If the area of a triangle is 48 square units and the base is 12 units, what is the height?

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4. A train travels 360 miles in 6 hours. During this trip, it stops at a station for 30 minutes. What is its average speed in miles per hour during the entire trip, including the stop?

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5. A factory produces x items per day at a cost of $5 each. The daily profit is $3 for each item produced. How much profit will the factory make after producing x items for 15 days (in terms of x  such as ax, etc)?

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