In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned x, according to the equation . Use the intercepts to determine a window, and then use a graphing utility to graph the equation for

style="vertical-align:middle;" /> Based on the graph, is the learning rate increasing or decreasing?
?

A. increasing
B. decreasing


Answer: B

Mathematics

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Find the property tax. Round to the nearest cent.

A. $740.36 B. $228.05 C. $2280.50 D. $7403.60

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A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability.2 orange, 1 lemon

A. .1091 B. .0303 C. .3636 D. .0364

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Estimate the interval(s) on which the function is increasing and decreasing.f(x) = 2 - 3x2

A. increasing on (?, 0); decreasing on (0, -?) B. increasing on (0, ?); decreasing on (-?, 0) C. increasing on (-?, 0); decreasing on (-?, 0) D. increasing on (-?, 0); decreasing on (0, ?)

Mathematics

A manufacturer produces two models of elliptical cross-training exercise machines. The times for assembling, finishing, and packaging model X are 3 hours, 3 hours, and 0.8 hour, respectively. The times for model Y are 4 hours, 2.5 hours, and 0.4 hour. The total times available for assembling, finishing, and packaging are 6000 hours, 4200 hours, and 950 hours, respectively. The profits per unit are $200 for model X and $275 for model Y. What is the optimal production level for each model? What is the optimal profit? ?

A. 6000 units of model X950 units of model YOptimal profit: $1,461,250 B. 950 units of model X6000 units of model YOptimal profit: $1,840,000 C. 400 units of model X1200 units of model YOptimal profit: $410,000 D. 950 units of model X4200 units of model YOptimal profit: $1,345,000 E. 4200 units of model X950 units of model YOptimal profit: $1,101,250

Mathematics