Answer:
Step-by-step explanation:
=-9+7i+5+i
=-4+8i
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
Well first find out how big a penny is then divide that by 93,000,000
Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3
The right answer is Option B: 7p+12t=62
Step-by-step explanation:
Given,
Amount spent by Art and his friends = $62
Cost of one ticket = $12
Cost of t tickets = 12t
Cost of one bucket of popcorn = $7
Cost of p buckets of popcorn =7p
According to given statement;
7p+12t=62
7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.
The right answer is Option B: 7p+12t=62
Keywords: addition, linear equation
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