3 wouldn’t belong because they all have solutions except for that one
4y^3 - 2y^2
what is the largest number that divides evenly into 4y^3 and -2y^2?
it is 2
what is the highest degree of y that divides evenly into 4y^3 and -2y^2
it is y^2
the GCF is 2y^2
2y^2(2y - 1) <<<< answer
hope that helps, God bless!
Explicit rule:
a(n)=(2/5)(5^(n-1))
For a recursive rule, we need to express a(n) in terms of a(n-1), which we can obtain from the explicit rule
a(n)=(2/5)(5^(n-1))
substitute n-1 for n above
a(n-1)=(2/5)(5^((n-1)-1))
=(2/5)(5^n-2)
Divide:
a(n)/a(n-1)=(2/5)(5^(n-1)) / ((2/5)(5^(n-2)))
=1/5^(-1)
=5
Therefore, multiplying both sides by a(n-1)
a(n)=5 a(n-1)
a(1)=(2/5)(5^(1-1))=2/5
So the recursive rule is
a(1)=2/5, a(n)=5 a(n-1)
Step-by-step explanation:
the relationship between x and y is defined by a constant factor.
you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.
that makes it a linear relationship (a line on a chart, hence the name).
proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
so, yes, it is proportional.
and the table is then
x y
0 0
3 3×2/3 = 2
6 6×2/3 = 4
9 9×2/3 = 6
