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zmey [24]
3 years ago
6

Divide (x^3+2x^2-x-2) by (x-1)

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0
\frac{x^3+2x^2-x-2}{(x-1)} =x^2+3x+2 \\  \\ x^3+2x^2-x-2= \\= x^2(x+2)-(x+2) \\ =(x+2)(x^2-1)=(x+2)(x-1)(x+1) \\  \\  \frac{x^3+2x^2-x-2}{(x-1)}  = \frac{(x+2)(x-1)(x+1)}{x-1} =(x+2)(x+1)=x^2+3x+2
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What's the answer to 4n - 9 = -9
aksik [14]
Hello!

You solve this algebraically

4n - 9 = -9

Add 9 to both sides

4n = 0

Divide both sides by 4

n = 0

The answer is 0

Hope this helps!
8 0
3 years ago
Read 2 more answers
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
Mariana [72]

Answer:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

Step-by-step explanation:

The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.

From the above information, we know that,  

The population mean is

$ \mu = \$306,500 $

The population standard deviation is

\sigma = \$24,500

Suppose a random sample of 150 Americans is selected

n = 150

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The sample mean would be the same as the population mean  that is

$ \mu_{x}= \mu = \$306,500 $

The sample standard deviation is given by

\sigma_x = \frac{\sigma}{\sqrt{n} }

Where \sigma is the population standard deviation and n is the sample size.

\sigma_x = \frac{24,500}{\sqrt{150} }  \\\\\sigma_x = \$ 2,000 \\\\

Therefore, the required parameters are:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

5 0
3 years ago
"What are the three collinear points?<br> "
Fudgin [204]
Three or more points<span> , , , ..., are said to be </span>collinear<span> if they lie on a single straight line.

LJK   is the answer.</span>
7 0
3 years ago
Read 2 more answers
3. What is the slope of the line passing through (15,-5) and (3, -8)?
Andrej [43]
M= -8 - -5/ 3 - 15= -8+5/3-15= -3/-12 = 3/12 = 1/4 


The slope is 1/4. 
The slope formula is m=y2-y1/x2-x1. I plugged in -8=y2, -5=y1, 3=x2, and 15=x1. Then I solved it.
6 0
3 years ago
Read 2 more answers
In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are
Vitek1552 [10]
1. Let's call the number of carter school: "x" and "y" the number of alternative school.  Then, you have that:

 - T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.

 2. So, you have:

 x=2y-4  (i)

 x=48  (ii)

 3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
 x=2y-4
<span> 48=2y-4

 4. Now, you must clear "y, as below:

 48+4=2y
 2y=52
 y=52/2
 y=26
 </span><span>
 How many alternative schools are in the county?
</span><span>
 The answer is: There are 26 alternative schools.</span>
6 0
3 years ago
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