Nathaniel builds birds and birdhouses using Lego blocks. Let BBB represent the number of birds and HHH represent the number of b
1 answer:
Answer:
(C) Nathaniel can build at most 3 birdhouses.
Step-by-step explanation:
Given that:
where:
- B represents the number of birds
- H represents the number of Birdhouses
Nathaniel wants to build 50 birds(B) using lego Blocks, we want to determine how many birdhouses(H) he can build with the remaining Lego blocks.
If B=50
Therefore, Nathaniel can build at most 3 Birdhouses.
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Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Answer: 1, 7, 1, 7, 1.
Step-by-step explanation:
The given function : and f(1) = 1 for n ≥ 1
We put value of n=1,2,3,4 , we get
For n=1 ,
For n=2 ,
For n=3 ,
For n=4 ,
Hence, the first five terms of the given sequence are 1, 7, 1, 7, 1.