Answer:
98
Step-by-step explanation:
Step 1: Define
2(x + y)²
x = 3
y = 4
Step 2: Substitute and Evaluate
2(3 + 4)²
2(7)²
2(49)
98
Answer:
B. 18 bags
Step-by-step explanation:
First you need to determine the area of the vegetable garden. The vegetable garden is a rectangle with the following dimensions:
L = 24 ft
W = 9 ft
The Formula for the area of a rectangle is:
So let's solve it:
With that, we can figure out how many bags of fertilizer would be needed by dividing the area of the vegetable garden by how much one bag of fertilizer covers:
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
I believe that f(2) is 34.5
f(2) = 2(34) + 1
f(2) = 68 + 1
f(2) = 69
f = 69/2
f = 34.5
I AM NOT SURE
Answer:
-10
Step-by-step explanation:
