For Exercises 1-2, for parts (a) and (b), graph the equation. For part (c), solve the system of equations. For parts (d) and (e) graph the solution set to the system of inequalities. If there is no solution, indicate that the solution set is the empty set. a. y = − 3 x + 5 b. − 2 x + y = 0 c. y = − 3 x + 5 − 2 x + y = 0 d. y > − 3 x + 5 − 2 x + y < 0 e. y < − 3 x + 5 − 2 x + y > 0
For Exercises 1-2, for parts (a) and (b), graph the equation. For part (c), solve the system of equations. For parts (d) and (e) graph the solution set to the system of inequalities. If there is no solution, indicate that the solution set is the empty set. a. y = − 3 x + 5 b. − 2 x + y = 0 c. y = − 3 x + 5 − 2 x + y = 0 d. y > − 3 x + 5 − 2 x + y < 0 e. y < − 3 x + 5 − 2 x + y > 0
Solution Summary: The graph for the line y=-3x+5 is: ly = 3(0)+0 0+y
For Exercises 1-2, for parts (a) and (b), graph the equation. For part (c), solve the system of equations. For parts (d) and (e) graph the solution set to the system of inequalities. If there is no solution, indicate that the solution set is the empty set.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
Elementary Statistics: Picturing the World (7th Edition)
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