Exam 2: Equations and Inequalities

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As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 8] will its speed be at least 15 cm/sec? As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 8] will its speed be at least 15 cm/sec?

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As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 8] will its speed be at least 4 cm/sec? As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 8] will its speed be at least 4 cm/sec?

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A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height h is yet to be determined. If 27 ft 2 of glass is to be used, find the height h. A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height h is yet to be determined. If 27 ft <sup> 2 </sup> of glass is to be used, find the height h.

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Solve the equation Solve the equation

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Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 4 mi/hr and the other due west at 2 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.24 miles? Round the answer to the nearest minute.

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Solve the equation. Solve the equation.

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Express the inequality Express the inequality   as an interval. as an interval.

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A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $11,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

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British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 226 grams of a copper-silver alloy that is 13% copper by weight?

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Solve the equation by factoring. Solve the equation by factoring.

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Find the real solutions of the equation Find the real solutions of the equation

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Write the expression Write the expression   in the form   , where a and b are real numbers. in the form Write the expression   in the form   , where a and b are real numbers. , where a and b are real numbers.

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Solve the inequality. Solve the inequality.

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Solve the equation. Solve the equation.

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Write the expression Write the expression   in the form   , where a and b are real numbers. in the form Write the expression   in the form   , where a and b are real numbers. , where a and b are real numbers.

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Solve the equation. Solve the equation.

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Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 4 mi/hr and the other due west at 2 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.98 miles? Round the answer to the nearest minute.

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Solve the equation. Solve the equation.

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Solve the formula for Solve the formula for   .  . Solve the formula for   .

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Solve the inequality. Solve the inequality.

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