Answer:
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Step-by-step explanation:
The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

the generating function would be

we can multiply P(x) by x to get
Note that

which for
can be rewritten as

I would say B, but don't quote me on it
Answer:
14000 liters
Step-by-step explanation:
500 * 4 = 2000
2000 * 7 = 14000
77.) x= {-5, 6}
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}
Answer:
Step-by-step explanation:
Please, if you're indicating exponentiation, use the symbol " ^ " to indicate it. Thanks.
The parent function here is f(x) = x^3.
g(x) = (x + 6)^3 has the same graph as does
f(x) = x^3, except that the entire graph of x^3 is translated 6 units to the left.
h(x) = -(x + 6)^3 has the same graph as
does g(x), except that the entire graph of g(x) is reflected in the x-axis.
The graph of h(x) = h(x) = –(x + 6)3 – 3 is the same as that of h(x) except that the entire graph is translated downward by 3 units.