What is the following quotient? 2-sqrt8/ 4+sqrt12

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Answer:

1-sqrt2/2+sqrt3 or (2-sqrt3-2sqrt2+sqrt6)or (1-sqrt2)(2-sqrt3)

Step-by-step explanation:

2-sqrt8/4+sqrt12

2-2sqrt2/4+2sqrt3

2(1-sqrt2)/2(2+sqrt3)

1-sqrt2/2+sqrt3(Not rationalizing)

(1-sqrt2)(2-sqrt3)/4-3

2-sqrt3-2sqrt2+sqrt6(If you rationalize)

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Please help. I don't understand how to do number 14

murzikaleks [220]

This is quiet simple. i like to use a method my math teacher calls "plug and chug". we know that y= 4x +2
some people call this the substitution method but it has the same concept. now that we know what y equals, we plug it into teh equation:
(4x+2) -x=17
then we "chug it":
4x+2-x=17
then we have to isolate x. add the x's:
5x+2=17
in order to isolate x subtract 2 from both sides:
5x=15
now to isolate again divide both sides with 5:
x=3
so x is 3. bow we plug that into what y is;
y=4 (3) +2
y=14
so:
x=3
y=14
(to double check plug and chug into the first question . if x and y are correct, you will get 17)

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4 years ago

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vesna_86 [32]

Step 1:

In descriptive statistics, a box plot or boxplot (also known as box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.

Step 2:

To sketch a boxplot, you will need to determine the following:

Minimum

Lower quartile

Median

Upper quartile

Maximum

Step 3:

USA

First arrange the data from the least to the greatest.

14 , 26, 33, 34, 35, 38, 40, 41, 44, 46, 46, 49, 53, 66, 70.

Minimum = 14

$\begin{gathered} \text{Lower quartile position = }\frac{1}{4}(n+1)^{th} \\ \text{= }\frac{15+1}{4}\text{ = }\frac{16}{4}=4^{th} \\ Q_1\text{ = lower quartile = 34} \end{gathered}$

Median = 41

$\begin{gathered} \text{Upper quartile position = }\frac{3}{4}(n+1)^{th} \\ =\text{ }\frac{3\text{ }\times(15+1)}{4} \\ =12^{th} \\ Q_3\text{ = upper quartile = 49} \end{gathered}$

Maximum = 70

Interquartile range IQR = 49 - 34 = 15

Canada

22, 28, 31, 31, 35, 35, 36, 39, 40, 40, 42, 49, 53, 63, 68

Minimum = 22