Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. which statement about the solutions x = 5 and x = –20 is true? a. the solutions x = 5 and x = –20 are reasonable. b. the solution x = 5 should be kept, but x = –20 is unreasonable. c. the solution x = –20 should be kept, but x = 5 is unreasonable. d. the solutions x = 5 and x = –20 are unreasonable.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.