Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
The factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)
<h3>How to match the
polynomial?</h3>
The polynomial expression is given as:
x^2 - 3x - 18
Express -3x as 3x - 6x
So, we have:
x^2 + 3x - 6x - 18
Factorize the polynomial expression
x(x + 3) - 6(x + 3)
Factor out x + 3
(x + 3)(x - 6)
Hence, the factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)
Read more about expressions at:
brainly.com/question/723406
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Answer:
2 oldies and 6 new releases
Step-by-step explanation:
let x equal number of oldies
let y equal number of new releases
2x + 4y = 28
x + y = 8
x = 8 - y
2(8 - y) + 4y = 28
16 - 2y + 4y = 28
2y = 28 - 16
2y = 12
y = 12/2
y = 6
x = 8 - y
x = 8 - 6
x = 2
Answer:
linear
Step-by-step explanation:
The line is straight, it's not like going in any other direction at all or anything
Answer:
The arc length of the partial circle is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to
In this problem we have a 3/4 of a circle
so
the circumference is equal to
we have
substitute
