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crimeas [40]
3 years ago
13

Which of the binomials below is a factor of this trinomial x^2+4x+4

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0

Answer:

The factor is (x+2).

Step-by-step explanation:

x^{2} +4x+4

Lets assume this to be zero.

x^{2} +4x+4=0

factoring it we get

x^{2} +2x+2x+4=0

x(x+2)+2(x+2)=0

This gives (x+2)(x+2) as factors.

Therefore, the factor is (x+2)

We can also check this as :

(x+2)^{2} =x^{2} +4x+4

dmitriy555 [2]3 years ago
4 0
X² + 4x + 4
x            2
x             2

(x + 2) (x + 2) 


x + 2 should be your answer

binomial is having 2 terms

hope this helps
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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21
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Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

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Step-by-step explanation:

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