37) h 9 3h 1 0 38) 2c 1 c 4 0 39) k k 3 0 40) r r 7 0 41) 7 t 6 3 42) 3 x 7 2 43) 3 a 7 1 44) 5 w 3 1 45) 2y y 6 3 46) 3z z 4 2 47) 3w w 2 4 48) 4h h 3 1 49) (4t 3)2 t 5 0 50) (2y 3)2 y 3 0 51) m 1 m2 3 0 52) w 7 w2 8 0 53) s2 2 s 4 0 54) z2 10 z 6 0 Mixed Exercises: Objectives 2 and 5 Write an inequality, and solve. 55) Compu Corp. estimates that its total profi t function, P(x), for producing x thousand units is given by P(x) 2x2 32x 96. a) At what level of production does the company make a profi t? b) At what level of production does the company lose money? 56) A model rocket is launched from the ground with an initial velocity of 128 ft/s. The height s(t), in ft, of the rocket t seconds after liftoff is given by the function s(t) 16t2 128t. a) When is the rocket more than 192 ft above the ground? b) When does the rocket hit the ground? 57) A designer purse company has found that the average cost, C (x), of producing x purses per month can be described by the function C (x) 10x 100,000 x . How many purses must the company produce each month so that the average cost of producing each purse is no more than $20? 58) A company that produces clay pigeons for target shooting has determined that the average cost, C (x), of producing x cases of clay pigeons per month can be described by the function C (x) 2x 15,000 x . How many cases of clay pigeons must the company produce each month so that the average cost of producing each case is no more than $3? R1) What is a rational inequality? How is this different from a rational equation? R2) Are there any similarities between a quadratic inequality and a rational inequality? R3) Which type of inequality do you fi nd easiest to solve? R4) Why do you need to pick test points? Group Activity – The Group Activity can be found online on Connect. 690 CHAPTER 10 Quadratic Equations and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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