Answer:
(- 1, 9 )
Step-by-step explanation:
One of the equations gives y = 9, the y- value
To find the value of x, substitute y = - 3x + 6 , that is
- 3x + 6 = 9 ( subtract 6 from both sides )
- 3x = 3 ( divide both sides by - 3 )
x = - 1
Solution is (- 1, 9 )
It would be 19/6 as an improper fraction and 3 & 1/6 as a mixed number fraction.
Answer:
x=4y/5 + 24/5
Step-by-step explanation:
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
