Three friends rented a car for a week and divided the cost equally. what was the total cost of renting the car ?
(1) if the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.
(2) if a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15

The cost would be $ 180.

Step-by-step explanation:

(1) Let x be the cost( in dollars ) for one week if three friends are kept in the car,

Since,

two-week rate = 1.5 × one week rate.

Thus, data is insufficient to find the total cost of renting the car,

(2) Since, total cost = x,

If number of friends = 3,

Then the cost paid by each friend = dollars,

If number of friends = 4,

Then the cost paid by each friend = dollars,

According to the statement (2),

Hence, the total cost of renting the car would be $ 180.

up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2