1. The function y = h(x) contains the point (2, 10). Find thelocation of the cor
ID: 3093431 • Letter: 1
Question
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. Also, thisisn'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. Also, thisisn't in the book.Explanation / Answer
1. 10=2h(2-3)+5 10=4h-6h+5 10=-2h+5 5=-2h h=-5/2
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