All categories

2 years ago

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

Mathematics

1 answer:

lina2011 [118]2 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)

You might be interested in

Nate's classroom has three tables of different lengths. One has a length of 4 1/2 feet, another has a length of 4 feet, and a th

Anarel [89]

12 feet.
4 1/2= 4.5
4 1/2+ 4= 9.5 + 2.5 = 12

6 0

3 years ago

Read 2 more answers

What is the y value of the line when x = -1

sveticcg [70]

I cannot answer that question because I need to equation

6 0

3 years ago

600 can be written as 2 × b × co

NemiM [27]

Answer:

a = 3, b = 3, c = 5 and d = 2.

Step-by-step explanation:

The prime factorization of 600 is 2^3 * 3 * 5^2

3 0

2 years ago

An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume

Lynna [10]

Answer:

a) $21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

b) $ME=2.58\frac{52}{\sqrt{350}}=7.17$

c) $ME=2.58\frac{52}{\sqrt{100}}=13.42$

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

$\bar X=21$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=52$ represent the population standard deviation

n=350 represent the sample size

99% confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

Part b

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{350}}=7.17$

Part c

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{100}}=13.42$

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0

2 years ago

Which statement best describes the solution to this system of equations?

kondaur [170]

Answer:

x=-3

y=26

Step-by-step explanation:

3 0

3 years ago