The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=7.5x. The installation fee is $100 more than 5% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 150 square feet of carpet.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Is trapezoid abdc the result of a dilation of trapezoid mnpq by a scale factor of ? why or why not? yes, because ab and cd are each the lengths mn and qp. yes, because sides ab and cd are parallel to sides mn and qp. no, because ab is the length mn but cd is the length qp. no, because sides ab and cd have different slopes from sides mn and qp.

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. t