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4 years ago

Why are both 6 and -6 solutions to the equation below? x² = 36

Mathematics

1 answer:

elena55 [62]4 years ago

5 0

Answer:

6 and -6 are solutions because any negative multiplied by a negative is a positive. The negatives cancel each other out but this only works for multiplication from what I know.

Step-by-step explanation:

6 x 6 = 36

-6 x -6 = 36

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The best answers is A, D

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3 years ago

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PLEASE HELP ME 40 PTS!!!!!!

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Answer:

The sequence converges to infinity.

Step-by-step explanation:

$a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}$

$= \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}$

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3 years ago

Which formula can be used to describe the sequence below 27,9,3

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Answer:

$a_n=27 \cdot (\frac{1}{3})^{n-1}$ .

Step-by-step explanation:

This is a geometric sequence that means there is a common ratio. That means there is a number you can multiply over and over to get the next term.

The first term is 27.

The second term is (1/3)(27)=9.

The third term is (1/3)(9)=3.

So the common ratio is 1/3.

That means you can keep multiplying by 1/3 to find the next term in the sequence.

The explicit form for a geometric sequence is $a_n=a_1 \cdot r^{n-1}$ where $a_1$ is the first term and $r$ is the common ratio.

We are given $a_1=27$ and $r=\frac{1}{3}$ .

So the explicit form for the given sequence is $a_n=27 \cdot (\frac{1}{3})^{n-1}$ .

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We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
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