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4vir4ik [10]
3 years ago
5

Factor the denominator of the rational function y= 2x/x^2-16

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

x^2-16 factors to (x-4)(x+4)

You use the difference of squares rule here which is

a^2 - b^2 = (a-b)(a+b)

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Write an expression for the calculation double the number six and then subtract 36÷12
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Hello there friendo.

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What is the value of x? <br><br><br> A. 143<br><br><br> B. 37<br><br><br> C. 63<br><br><br> D. 53
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Convert 3,000 kilograms into pounds.
amm1812

Answer:

6613.868 pounds

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Which graph represents a degree three polynomial function with a negative leading<br> coefficient?
Vadim26 [7]

The graph of a 5th-degree polynomial with a negative leading coefficient will start at (-∞, +∞) and end at (+∞, -∞). That is, it will have the overall shape \, downward from left to right. Along the way, it may change direction 0, 2, or 4 times, and may intersect the x-axis up to 5 times.

Only one of the graphs shown has the described end behavior. All of the others have the general shapes ...

7 0
3 years ago
(Step to step work)<br><br> sin x(cotx + tanx)
11Alexandr11 [23.1K]

solving sin(x)(cot(x) + tan(x)) we get sec(x)

Step-by-step explanation:

We need to solve: sin(x)(cot(x) + tan(x))

Solving:

We know:

cot(x)=\frac{cos(x)}{sin(x)}\\ and\,\,tan(x)=\frac{sin(x)}{cos(x)}

Putting the values of cot(x) and tan(x):

sin(x)(cot(x) + tan(x))\\=sin(x)(\frac{cos(x)}{sin(x)}+\frac{sin(x)}{cos(x)})

Taking LCM:

=sin(x)(\frac{cos(x)cos(x)+sin(x)sin(x)}{sin(x)cos(x)})\\=sin(x)(\frac{cos^2(x)+sin^2(x)}{sin(x)cos(x)})

We know that: cos^2x+sin^2x=1

and using identity: cos(x)sin(x)=sin(2x)*1/2

=sin(x)(\frac{1}{sin(2x)\frac{1}{2}})\\=sin(x)(\frac{2}{sin(2x)})

Using identity: sin(2x)=2cos(x)sin(x)

=sin(x)(\frac{2}{2sin(x)cos(x)})\\Cancelling\,\,same\,\,terms\,\,in\,\,numerator\,\,and\,\,denominator:\\=\frac{1}{cos(x)} \\=sec(x)

So, solving sin(x)(cot(x) + tan(x)) we get sec(x)

Keywords: Trigonometry

Learn more about Trigonometry at:

  • brainly.com/question/13219835
  • brainly.com/question/5013374
  • brainly.com/question/9532142

#learnwithBrainly

8 0
3 years ago
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