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3 years ago

Polynomial Functions help

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.

First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B

Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.

Answer is C) 3 real and 2 imaginary zeroes.

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point O lies between points M and P on a line. OM = 34z and OP = 36z -7. if point N is the midpoint of MP, what algebraic can yo

zalisa [80]

N=1/2MP? Since n would be the midpoint you have to divide the segment into two.

3 0

3 years ago

The Boy scouts spent 10/12 hour doing their daily exercises. They only used 1/4 hour in hiking in. How much time did they use fo

KengaRu [80]

Answer:

Step-by-step explanation:

10/12 of an hour/60 minutes = 50 minutes so they spent that amount of time doing daily exercises

1/4 of an hour/60 minutes = 15 minutes so they spend that time hiking

subtract the 15 mins of hiking from the total 50 of exercises = 35 for other body exercises

Hope this helped!

4 0

2 years ago

Read 2 more answers

2b + 8 =? I don't know this one either

ohaa [14]

2(b+4)
Hope this helped

5 0

3 years ago

A random sample of 20 healthy adults was collected and their body temperatures were measured in degrees Fahrenheit. The data can

castortr0y [4]

Answer:

Step-by-step explanation:

Hello!

You need to test the hypothesis that "the average temperature for healthy adults is not equal to 98.6"

The variable of interest is

X: The body temperature of a healthy adult. (Fahrenheit)

And the parameter of interest is the population mean, μ.

The statistic hypotheses are:

H₀: μ = 98.6

H₁: μ ≠ 98.6

α:0.05

Assuming that the variable has a normal distribution you have to use a one-sample t-statistic for this test.

Attached to the answer is the data of body temperature of n=19 healthy adults. Since you didn't copy the raw data for your exercise I'll use this to answer the question.

Using the data the sample mean and standard deviation are:

X[bar]= 98.12

S= 0.69

$t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}$

$t_{H_0}= \frac{98.12-98.6}{\frac{0.69}{\sqrt{19} } } = -3.03$

This test is two-tailed, using the critical value approach, you have the rejection region divided into two tails determined by two critical values:

$t_{n-1;\alpha /2}= t_{18;0.025}= -1.965$

$t_{n-1;1-\alpha /2}= t_{18;0.975}= 1.965$

Decision rule:

If $t_{H_0}$ ≤ -1.965 or if $t_{H_0}$ ≥ 1.965, the decision is to reject the null hypothesis.

If -1.965 < $t_{H_0}$ < 1.965, the decision is to not reject the null hypothesis.

The calculated statistic is less than the lower critical value, the decision is to reject the null hypothesis.

Using a significance level of 5%, there is enough evidence to reject the null hypothesis. Then you can conclude that the true mean body temperature for healthy adults is not equal to the traditional 98.6F.

I hope this helps!

7 0

4 years ago

I need to know the ratio table

weqwewe [10]

You just have to put who's class has more of the thing that are there

4 0

3 years ago