Answer:
y=-1/3x+1
Step-by-step explanation:
(picture explains)
Question attached. Please advise.
1 answer:
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Answer:
<h3> The width (side perpedicular to the barn): <u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn): <u>y = 16 m</u> </h3>Step-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at:
a = -2, b = 32
32-2x = 32 - 2•8 = 16
Answer:
The Recursive formula for the sequence is:
aₙ = aₙ₋₁ + d
The Explicit formula for the sequence is:
Step-by-step explanation:
Given the sequence
3,7,11,15
Here:
a₁ = 3
computing the differences of all the adjacent terms
7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4
The difference between all the adjacent terms is the same and equal to
d = 4
We know that a recursive formula basically defines each term of a sequence using the previous term(s).
The recursive formula of the Arithmetic sequence always involves the first term.
a₁ = 3
We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.
so
The recursive formula of the sequence is:
aₙ = aₙ₋₁ + d
substitute n = 2 to find the 2nd term
a₂ = a₂₋₁ + d
a₂ = a₁+ d
substitute a₁ = 3 and d = 4
a₂ = 3 + 4
a₂ = 7
Thus, the recursive formula for the sequence 3,7,11,15 is:
aₙ = aₙ₋₁ + d
<u>An explicit rule for the sequence</u>
Given the sequence
3,7,11,15
We already know that
a₁ = 3
d = 4
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = 3 and d = 4
Therefore, an explicit rule for the sequence