Divide 12 by 4, and you should get 3 dollars per yard
The graph of f is reflected across the y-axis to create the graph of g. (C)
You are basically assigning the same y-value to the opposite x-values to make g(x). So, for the point (x, 31), on f(x), x is -2, but on g(x), x is 2. Thinking about this visually, you can imagine that this represents a reflection of f across the y-axis.
(Side note: Later in math, this symmetry will be formalized so that you can find it algebraically. It's called "even" symmetry.)
Answer:
9.25≤x≤64.15
Step-by-step explanation:
The smallest amount would be 5 of the least priced item
5 * 1.85 =9.25
The largest amount would be 5 of the greatest priced item
5 * 12.83 =64.15
9.25≤x≤64.15
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