The table below represents ordered pairs that satisfy the functions f(x) and g(x). A 3-column table has 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled f (x) with entries 1, 4, 16, 64. Column 3 is labeled g (x) with entries 0, 3, 15, 63. If f(x) = 4x, which statements are true of g(x)? Select two options. g(x) = 4(x - 1) g(x) = 4x - 1 The graph is translated left 1 unit. The graph is translated down 1 unit. The graph is translated both horizontally and vertically. The domain and range of g(x) is the same as the domain and range of f(x).

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step-by-step explanation:

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

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