College Algebra

Use the table to determine a solution of X Y, =14x3-23x2 + 10x - 1 the equation. Use synthetic division to verify that this number is a solution of the - 616 equation. Then solve the polynomial - 225 equation. -1 - 48 0 - 1 14x3 -23x2 + 10x- 1= 0 0 WN - 39 200 Which solution of the equation can be determined from the table? The solution is 2 a. Use synthetic division to show that 2 is a solution of the polynomial equation below. 11x - 13x + 11x - 58 =0 b. Use the solution from part (a) to solve this problem. The number of eggs, f(x), in a female moth is a function of her abdominal width, in millimeters, modeled by the equation below. f(x) = 11x" - 13x7+ 11x + 155 What is the abdominal width when there are 213 eggs? The function f(x) = - 7.48 In x + 56 models the percentage of first-year college men in a certain country expressing antifeminist views (by agreeing with the Opposition to Feminism among First-Year College 3 Students, 1970-2004 statement) x years after 1969. Complete parts (a)-(b). 56.2 ement Statement: "The activities of a married 60 woman are best confined to the home 50- 41.6 and family." 40- 53.3 31.8 Men Women ing wo St 30- 29.1 28.1 20- 18.2 18.1 16.8 15.8 10- 1970 1990 2000 2004 a. Use the function to find the percentage of first-year college men expressing antifeminist views in 2004. Does this function overestimate or underestimate the percentage displayed on the graph? By how much? b. Use the function to project the percentage of first-year college men who will express antifeminist views in 2010. The loudness level of a sound, D, in decibels, is given by the formula D = 10 log (10*21) , where I is the intensity of the sound, in watts per meter. Decibel levels range from 0. a barely audible sound. to 160, a sound resulting in a ruptured eardrum. The sound of a certain animal can be heard 500 miles away, reaching an intensity of 6.8 x 10 watts per meter. Determine the decibel level of this sound. At close range, can the sound of this animal rupture the human eardrum