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yawa3891 [41]
3 years ago
15

Which expression is equivalent to (x+1)^2-9/x+4

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0
The answer should be 3x^-7/4x
enot [183]3 years ago
4 0

Answer:

(x-2)

Step-by-step explanation:

Given expression is \frac{(x+1)^2-9}{x+4}

Now we factor the given expression

LEts factor the numerator

(x+1)^2 -9

9 can be written as 3^2

(x+1)^2 - 3^2

Now we apply a^2 - b^2 formula

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

(x+1)^2 - 3^2 = (x+1+3)(x+1-3)=(x+4)(x-2)

now we replace it in our problem

\frac{(x+1)^2-9}{x+4}=\frac{(x+4)(x-2)}{x+4}

Cancel out x+4 from top and bottom

So answer is (x-2)

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a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
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We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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4 years ago
ThreeThree friends board an airliner just before departure time. There are only 1010 seats​ left, 44 of which are aisle seats. H
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Answer:

Na = 720 - 120 = 600 ways

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Step-by-step explanation:

For at least one of the three friends to seat on an aisle seat, the number of possible arrangements can be given as;

Na = Nt - Nn .....1

Where;

Na = number of possible arrangements with at least one of the seating on an aisle seat.

Nt = total number of possible arrangements for the three friends

Nn = number of possible arrangements with none of the three friends seating on an aisle seat.

Given;

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Total number of aisle seats available = 4

Total number of people = 3

So;

Nt = 10C3 = 10×9×8 = 720

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From equation 1;

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Answer:

20 -(2*6)

Step-by-step explanation:

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7 0
3 years ago
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20194+9283 - 372 = ? <br><br>will give brainliest or whatever ‍
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20,194+9,283 - 372 = 29,105

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