Which of the following is a factor of x^6 + 1000?

Mathematics

2 answers:

Lena [83]3 years ago

6 0

Well,

$x^6+1000=(x^2)^3+10^3$

From here we use $a^3+b^3=(a+b)(a^2-ab+b^2)$ ,

$(x^2+10)\boxed{(x^4-10x^2+100)}$

And the found our factor.

Hope this helps.

r3t40

IgorLugansk [536]3 years ago

4 0

Answer:

Option B

Step-by-step explanation:

You might be interested in

a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval

il63 [147K]

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:
$n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49$

6 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

FrozenT [24]

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)