Answer:
x^3-64y^3
Step-by-step explanation:
(x-4y)^3
(x)^3-(4y)^3
x^3-64y^3
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9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.
i have no idea what to do
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
Answer:
The 6.5-ounce cans offer the largest size at a fair cost and is the best to buy.
Step-by-step explanation:
Size of the 4.5-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce
Cost of the package= $4.32
Size of the 3.5-ounce cans = 3.5 × 4 = 14 ounce
Cost of the package= $3.92
Size of the 6.5-ounce cans = 6.5 × 5 = 32.5 ounce
Cost of the package= $9.75
The 6.5-ounce cans offer the largest size and is the best to buy.