On the given graph, when x=-1, what is f(x)? A) 3 B) 5 C) 7 D)8
1 answer:
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Hello!
The recursive rule for an arithmetic sequence: .
The explicit rule for an arithmetic sequence: .
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given, and
...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A, .
If you wondered why, is equal to
, the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes
and
equal to each other.
Answer:
Factor theorem: .
Synthetic division: .
Step-by-step explanation:
<h3>Factor Theorem</h3>By the factor theorem, a monomial of the form (where
is a constant) is a factor of polynomial
if and only if
.
In this question, the monomial is , which is equivalently
.
.
.
Hence, by the factor theorem, , which is equivalent to
, is a factor of
.
.
The remainder is when dividing
by
. Hence,
is a factor of
.
Answer:
3x-4
Step-by-step explanation:
Hope this helps!