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Zigmanuir [339]
4 years ago
9

Which three statements about the expression x² + 7x + 6 are true? Can you choose which are correct please?

Mathematics
1 answer:
dezoksy [38]4 years ago
7 0

Answer:

A, C, and E are correct

Step-by-step explanation:

B can't be right because 2 is an exponent, not a coefficient

D can't be right because 6 doesn't go into 7

Hope this helped!

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(3.5 x 10^-15) (3 x 10^-10) in scientific notation.
geniusboy [140]
What the picture says equals:
(3.5 x 10^-5) × (3 × 10^-10) = 1.05 × 10^-14

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8 0
3 years ago
Write the fifteenth term of the binomial expansion of (a^2+b)^20
3241004551 [841]

Answer:

The fifteenth term of the binomial expansion of (a+b)^{20} is 38760\cdot a^{6}\cdot b^{14}.

Step-by-step explanation:

Let be a binomial of the form (a+b)^{n}, where a, b\in \mathbb{R} and n\,\in\mathbb{N}^{+}. The expansion of this polynomial is defined below:

(a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k}) (1)

Where:

n - Number of terms of the expanded polynomial.

k - Index associated to k-th term of the expanded polynomial.

For all n-th binomial, we a sum of n+1 terms. If the given binomial has a term of 20, then we have 21 terms and the fifteenth term of the polynomial corresponds to the 14-th term. Then, the fifteenth term of the binomial is:

c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})

c_{14} = 38760\cdot a^{6}\cdot b^{14}

The fifteenth term of the binomial expansion of (a+b)^{20} is 38760\cdot a^{6}\cdot b^{14}.

8 0
3 years ago
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