Select the correct answer. (-1,1) (0,-1) (5,-11) (10,-21) what is the domain of the set of ordered pairs above? a. {-1, 0, 5, 10} b. {1, -1, -11, -21} c. {-1, 10} d. {-1, 1}

Domain of set of given ordered pair is { -1, 0, 5, 10}

Step-by-step explanation:

All of the values that can go into a relation or function (input) are called the domain.

The domain is the set of all first elements of ordered pairs (x-coordinates).

     In the given question,

                 ordered pairs are (-1,1) , (0,-1) , (5,-11) , (10,-21)

     Therefore,

       Domain is the set of all first elements of ordered pairs.

       i.e -1, 0, 5, 10

       Hence the required set is   { -1, 0, 5, 10}.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt