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crimeas [40]
2 years ago
14

Which of the following is not a unit rate? ( i need this answer fast thank you)

Mathematics
1 answer:
Citrus2011 [14]2 years ago
3 0

Answer:

8 miles per hour

Step-by-step explanation:

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Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
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Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

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Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

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At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

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In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

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So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

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But this is a fourth-degree polynomial.

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