Aforest has a population of cougars and a population of rabbits. let x represent the number of cougars (in hundreds) above some level, denoted with 0. so x = − 3 corresponds not to an absence of cougars, but to a population that is 300 below the designated level of cougars. similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. the following system models the two populations over time: x ' = − 0.5 x + y y ' = − x + 0.5 y solve the system using the initial conditions x ( 0 ) = 0 and y ( 0 ) = 1 . x

10 points? ? +++ me asap gabriella uses the current exchange rate to write the function, h(x), where x is the number of u. s. dollars and h(x) is the number of euros, the european union currency. she checks the rate and finds that h(100) = 7.5. which statement best describes what h(100) = 75 signifies? a) gabriella averages 7.5 u. s. dollars for every 100 euros. b) gabriella averages 100 u. s. dollars for every 25 euros. c) gabriella can exchange 75 u. s. dollars for 100 euros. d) gabriella can exchange 100 u. s. dollars for 75 euros.

Solve the system of equations. x=-2y+1 and x+2y=9. show work

Derek purchased a new gym membership. it costs him seven dollars a month plus two dollars for every time that he visits the gym. he wants to spend less than 25 dollars a month to visit the gym. write an inequality that models the situation using the variable v for the number of visits per month. also find the maximum number of visits he can make to the gym and still keep his cost below 25 dollars a month.