Justifying the Derivation Quadratic Formula
Two of the steps in the derivation of the quadratic formula
are shown below.
Which operation is performed in the derivation of the
quadratic formula moving from Step 6 to Step 7?
subtracting
from both sides of the equation
Step 6: bar = (+
Step 7: 3462-400 =x+
squaring both sides of the equation
taking the square root of both sides of the equation
taking the square root of the discriminant

whatvare the choices

step-by-step explanation:

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

(2,6)

step-by-step explanation:

cause i just did this and got the answer

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