Eleanor and her little sister joanna are responsible for two chores on their family’s farm, gathering eggs and collecting milk. eleanor can gather 15 dozen eggs or collect 5 gallons of milk per week. joanna can gather 2 dozen eggs or collect 2 gallons of milk per week.
a. the family wants 2 gallons of milk per week and as many eggs as the sisters can gather. currently, they collect one gallon of milk each and as many eggs as they can. how many dozens of eggs does the family have per week?
dozen eggs.
b. if the sisters specialized, which sister should collect the milk?
c. if the sisters specialized, how many dozens of eggs would the family have per week?
dozen eggs

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Gwen, a manager at exude apparels inc., received a message from a customer requesting a replacement for a purchased pair of shoes. exude apparels has a clearly stated no-return policy. gwen responded to the customer denying the request in a tactful and clear manner. despite this, the customer submitted a second request. in this scenario, which of the following is an appropriate response to the second request?

Find the zeros of the polynomial 5 x square + 12 x + 7 by factorization method and verify the relation between zeros and coefficient of the polynomials