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2 years ago

What is the period of the sinusoidal function

Mathematics

1 answer:

Vadim26 [7]2 years ago

3 0

The answer is 2π

Hope this helps

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The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

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Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

--------------

Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

7 0

2 years ago

PLEASE ANSWER NOW

balu736 [363]

Answer:

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6 0

2 years ago

Given ABC = DEF and the perimeter of DEF =38, find BC

ddd [48]

Answer: BC = 15

Step-by-step explanation:

Since the triangles are congruent, that means they are the same. So side AB = side EF. Since we know side FD is 15, that means side BC= 15

7 0

2 years ago

Ximena is typing a 2500 word essay. In 9 minutes she types 396 words, at this rate can Ximena type the essay in an hour?

sasho [114]

Answer:

yes

Step-by-step explanation:

396÷ 9= 44

44×60= 2,640 > 2500

8 0

2 years ago

I need help with a question

kondaur [170]

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5 0

2 years ago