1. The function y = h(x) contains the point (2, 10). Find thelocation of the cor
ID: 3093439 • Letter: 1
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1. The function y = h(x) contains the point (2, 10). Find thelocation of the corresponding point on the graph y = 2h(x-3) +5.Show work. 2. Water is draining from a tank in such a way that the depthof the water D in the tank at time t minutes is given by D(t) =sqrt(100 - kt), where k is a constant. The tank is completely emptyat t = 50. a) What does D(20) and D^-1(4) represent? b)Find value of k c) Find the time at which the depth of the water in the tankis equal to half of its initial depth. 3. Find a linear function f(x) with a positive slope such thatf(f(x)) = 9x + 4. 4. Let c be a positive number such that 0 < c < 1. Findthe value of c so that the average rate of change of f(x) = x^2 onthe interval [ c, 1/c ] is equal to 10c. Whoever does the most of these questions with the best workwill rated as a lifesaver. Thanks to everyone who helps. Thesequestions aren't in the book. 1. The function y = h(x) contains the point (2, 10). Find thelocation of the corresponding point on the graph y = 2h(x-3) +5.Show work. 2. Water is draining from a tank in such a way that the depthof the water D in the tank at time t minutes is given by D(t) =sqrt(100 - kt), where k is a constant. The tank is completely emptyat t = 50. a) What does D(20) and D^-1(4) represent? b)Find value of k c) Find the time at which the depth of the water in the tankis equal to half of its initial depth. 3. Find a linear function f(x) with a positive slope such thatf(f(x)) = 9x + 4. 4. Let c be a positive number such that 0 < c < 1. Findthe value of c so that the average rate of change of f(x) = x^2 onthe interval [ c, 1/c ] is equal to 10c. Whoever does the most of these questions with the best workwill rated as a lifesaver. Thanks to everyone who helps. Thesequestions aren't in the book.Explanation / Answer
2. If D(t) = (100-kt), a) D(20) = (100-20t), and D-1(4) =(100-4t)-1 b) If the tank is empty at t = 50, you can find k byinserting 50: D(50) = (100-50k) So, k = 2. c) Since the tank is empty at t = 50, the tank should be half emptyat t = 25. Hope this helps you some. Sorry I couldn't help more!
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