Math 1090.003 Quiz 02 Spring 2016 Student ID #: SO1fOS ulD #: Instructions: • Please remove headphones and hats during the quiz. • Show all work, as partial credit will be given where appropriate. If no work is shown, there may be no credit given. • All final answers should be written in the space provided on the quiz and in simplified form. When needed, give your answer as an exact amount, i.e. a fraction or symbolic expression, except for dollar amounts which should be rounded to the nearest cent. • Scientific calculators are allowed on this quiz. • If your phone is out during the quiz it will be considered a cheating offense put your phone away! 1 - 28 January 2016 I\Iath 1090.003 1. (3 points) Given the function (a) Find the dornaii of f(x) = x2_5x_14: f(x). Ve fithv iit1l 7ie l ,,;ii 5< x /1 )(2_5_, xe— , L4JAdQWp - S— (‘7 -:V ° <_)()(+z) a /( r t/ n IA (b) Evaluate f(+-2). -a -j--20 2-0 2 Math 1090.003 28 January 2016 z. 2. (4 points) Solve this system of equations for x, y, and (i) x+z=8 •1/ I L ED EXtrvi’nJ_ — l(xt () () T vd Qttniv-C 1 a (2.) -l y+2z=17 x+2y+z=16 %) [ Z)S ij — - (3) A/’d zt1 1? 2(X 2y-t - flib) - So I 12 Zx --j 3 - — -bfr-L c ys-fev’- -t(— i) -) -3 —-1s —L5 4-2) Itj (A’ (i) (i) r 3 2 (S --i 2 a 3 (g) 13/ (2- 28 Math 1090.003 January 2016 3. (6 points) Concert promoters are willing to sell tickets at a price of $8 each if they can sell 6040 tickets; however, if they can only sell 6250 tickets, they insist on charging $50 each. At the same time, 7250 music fans are willing to purchase a ticket for $10 each, but only 700 fans are willing to purchase a ticket if they are $20 each. (a) Find the supply equation described by this scenario in terms of quantity q and price p. [HINT: Convention is (q,p). What is the slope of the supply line?]. cppt;,i f GL)Jcf S 2 (o4c (25o,5o_ ( r1 ‘ jzL -( 2o 25O-G D -g 3D O4o) — 12°8 4 / pS V 7, C c3 E C.) ci) C.) -d C C C) 1 ‘LCD II C V C) 0 (Th II 0 0 If) LI 0 Q -- II 0 0 I —t It 10 -L — I (I I - 0 ( U 0 0 U 0 I U 0 I’ e Ii 0 (1