alloge ge Algebra Final Exam Review 23 Find page 3 olynomial

alloge ge Algebra Final Exam Review 23) Find page 3 olynomial function that has as Azeros the as a product x\" 1. xa 2i, x --2i. Write of linear factors. x 24.) The formula S 2D can be of a carthat has left marks of used to approximate the speed s, in miles per hour, one decimal place. skid length in feet. How far will a car skid at7o mph? Round to 25.) The population Pafter t equation P(t) 8000 rs of a newly introduced species of wildcat can be modeled by the 3t 4000 a) Find the horizontal asymptote (HA). b) Interpret this as off at As e, t, increases, the number of wildcats will approach and level 26.) Find f (x for fx 3x3 2 and x-8 27.) write the following log expression as the sum andror difference of logs with no or 3 x +2 radicals remaining: log, 4yz 28.) Solve 6 e 9. 29.) Solve 3log2(8x) 30. 30.) Solve logs(x 1) loga(x 3) logs(2). 31.) Solve: 64 42x 1. 33.) Convert to a logarithmic equation: 4\' 2.8, 35.) Solve using Gauss-Jordan Elimination: 2x +4y-z -14 3x-y+2z 14 36.) Ron attends a cocktail party. He wants to limit his food intake to 133 g protein, 120 g fat, and 165 g carbohydrate. According to the health conscious hostess, the marinated mushroom cap have 3 g protein, 5 g fat, and 9 g carbohydrates the spicy have 14 g protein 7 g fat, and carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and carbohydrat How many of each snack can he eat to obtain his goal? Solve using the Gauss-Jordan Elimination Method.

Solution

23) correct

24) S = (7/2)sqrt(2D)

S = 70 mph; Plug value of S in formula above

70 = (7/2)sqrt(2D)

20 = sqrt(2D)

400 = 2*D

D = 200 feet skid distance

25 ) P(t) = (900t + 8000)/(3t + 4000)

a) Horizontal asymtote : P = 900t/3t = 300

b) as t increases number of wildcats will aproac 300

26)   f(x) = 3x^3 + 2

y = 3x^3 +2

find f^-1(x) :

plug y = x and x= y , solve for y

y = 3x^3 +2

x = 3y^3 +2

(x-2)/3 = y^3

y = [(x-2)/3]^1/3

f^-1(x) = [(x-2)/3]^1/3