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3 years ago

The graph of f(x)=2x^3+x^2-4x-2 is shown. How many of the roots of f(x) are rational

Mathematics

2 answers:

Alexeev081 [22]3 years ago

7 0

We can one theorem to help us find rational roots of this polynomial.

2x^3 + x^2 - 4x - 2

We'll use Descartes' rule of signs.

Because there is 1 sign change, 1 of the 3 roots will be positive.

Now we can make the value of x -1 to see how many negative roots there will be.

-2 + 1 + 4 - 2

There are 2 sign changes, so we know there will be 2 negative roots.

Because of this, we should have 3 real, rational roots.

ohaa [14]3 years ago

6 0

Answer:

The answer is 1

I don't know the step-by-step explanation

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

In a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Interne

Dvinal [7]

Answer:

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

Step-by-step explanation:

Given that in a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Internet in a typical week. The mean of the sample observations was 12.9 hours.

$H_0: \bar x =12.7\\H_a: \bar x >12,7$

(Right tailed test at 5% level)

Mean difference = 0.2

Std error = $\frac{6}{\sqrt{1000} } \\=0.1897$

Z statistic = 1.0540

p value = 0.145941

since p >alpha we do not reject H0.

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

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3 years ago

Find the secant of angle Z<br> A.4/5<br> B.4/3<br> C.3/5<br> D.5/3

Alex73 [517]

Answer:

D 5/3

Step-by-step explanation:

Secθ= Hypotenuse/Adjacent

Secθ=10/6

Simplify: 10/6 -->5/3

Ans: D 5/3

remember your six trigonometric functions:

Sinθ=Opp/Hyp -->Cscθ=Adj/Hyp

Cosθ=Adj/Hyp -->Secθ=Hyp/Adj

Tanθ=Opp/Adj-->Cotθ=Opp?Adj

It is basically the opposite of each other, don't forget when you are at the last step you simplify! never forget. Also working with square roots will be a bit tricky when converting to Csc/ Sec/ Cot. Just noting you that Square roots don't belong in denominators!

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3 years ago