Mabel is comparing the prices of two car rental companies. company a charges $35 per day and an additional $15 as service charges. company b charges $42 per day and an additional $10 as service charges. part a: write an equation to represent each company's total charges for renting a car for a certain number of days. for both equations (one for company a and one for company b), define the variable used. (4 points) part b: which company would charge less for renting a car for 6 days? justify your answer. (3 points) part c: how much money is saved by using the services of company a instead of company b to rent a car for 10 days? (3 points)

Because of your favorite lemonade it is $3.84 for 3 gallons. write this as an unit rate

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

Which statement best describes how to determine whether f(x) = x squared- x +8 is an even function ?