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3 years ago

Factor completely. x^3 + 2x^2 + x + 2

Mathematics

1 answer:

slega [8]3 years ago

8 0

$x^3 + 2x^2 + x + 2=\\
x^2(x+2)+1(x+2)=\\
(x^2+1)(x+2)$

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Any suggestions or ideas

kirill115 [55]

That will be D good sir

4 0

2 years ago

Read 2 more answers

A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0

2 years ago

I need help with intercepts from a graph

Rina8888 [55]

Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.

Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.

So, for our x intercept it would be -7,0.

This is because your graphed line goes through x at -7 and it has no y, so that would be 0.

For your y intercept, it would be 0,2

This is because our line does not go through x, so we make that 0. It does go through y at 2.

Hope this helps :)

If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.

8 0

2 years ago

△ABC is mapped to △A′B′C′ using each of the given rules.

juin [17]

Answer:

The image is not loading!!

Step-by-step explanation:

Re-upload the question so maybe I can see it.

3 0

1 year ago

Simplify the expression where possible. (t 9) -8

makvit [3.9K]

Answer:

$\frac{1}{t^{72}}$ .

Step-by-step explanation:

To solve this problem, we need to simplify the expression $(t^{9})^{-8}$ .

We know that $(x^{a})^{b} = x^{ab}$

Therefore:

$(t^{9})^{-8} =t^{-72} =\frac{1}{t^{72}}$ .

7 0

2 years ago