Marguerite wants to rent a carpet cleaner. company a rents a carpet cleaner for $15 per day. company b rents a carpet cleaner for $100 per week, with a one-time fee of $5. the following functions represent the rate structures of the two rental companies: x = the number of weeks company a f(x) = 15(7x) company b g(x) = 100x + 5 the function h(x) = f(x) – g(x) represents the difference between the two rate structures. determine which statements about h(x) and about renting a carpet cleaner are true. check all that apply. if marguerite rents for 2 weeks, it will cost her more if she rents from company b. if marguerite rents for 2 weeks, it will cost her less if she rents from company b. if marguerite rents for 1 week, it will cost her the same at either company. if marguerite rents for 1 week, it will cost her more if she rents from company a. h(x) = 5x – 5 h(x) = 5x + 5

Statements:

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. (FALSE)

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. (TRUE)

If Marguerite rents for 1 week, it will cost her the same at

either company. (TRUE)

If Marguerite rents for 1 week, it will cost her more if she rents from Company A. (FALSE)

Step-by-step explanation:

If Marguerite rents carpet for 1 week:

Rate of Company A = f(1) = 15(7(1))

= 105

Rate of Company B = g(x) = 100 x + 5

= 100(1) + 5

= 105

For 1 week, the rent is same.

If Marguerite rents carpet for 2 weeks:

Rate of Company A = f(2) = 15(7(2))

= 210

Rate of Company B = g(x) = 100 x + 5

100(2) + 5

= 205

For 2 weeks, the rent from company B is less than company A.

69.64%

step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.