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drek231 [11]
3 years ago
8

Find the national root of x^4+3x^3+3x2-3x-4=0

Mathematics
1 answer:
ozzi3 years ago
5 0
Using a graphic tool.  
<span>see attached graphic</span>
<span>
the solutions are
x1=-2
x2=0.811

</span>check

for x=-2

x^4+3x^3+3x2-3x-4

(-2) ^4+3(-2) ^3+3(-2) ^2-4=16+(-24)+12-4=0   ok

For x=0.811

(0.811) ^4+3(0.811) ^3+3(0.811) ^2-4=0.4326+(1.6002)+1.9731-4=0   ok

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What is 26.833 rounded to the nearest thousandth?
son4ous [18]
26.833 26.000 27.000 Answer 27.000
7 0
3 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not
jeka94

Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

<h3>What is a dot plot?</h3>

A dot plot is a graph shows the number of times each measure appears in the data-set.

From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

More can be learned about dot plots at brainly.com/question/24912483

7 0
2 years ago
A newspaper publisher wants to check its daily output of about 300,000 newspapers to be sure each includes a comics section. Exp
Klio2033 [76]

Answer:

Step-by-step explanation:

Number of Newspaper Published in a day = 300,000

Each news paper must include a Comic section. To check whether each newspaper has comic section or not, the publisher must make a sample Size of 500 or 1,000 will be good . That is , the publisher has to check between Sample size of  either 600 or 300 newspapers ,whether it contain a comic section or not.

So, Just Taking  a newspaper from a  sample size of 600 or 1500 newspapers or 500 or 1000 newspaper and then checking whether it contains Comic section or not will be best way that publisher can adopt.

Time must be kept in mind by the publisher while choosing the sample size.

6 0
2 years ago
PLEASE HELP ME FAST!!!!
poizon [28]
The answer is going to be A
3 0
3 years ago
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