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FinnZ [79.3K]
4 years ago
6

Simplify the expression below.                                                                                           . 2x^3

- 12x^2 + 18x - 108 / x - 6A) 4x^2 + 9xB) 2x^2 + 18
c. 3x + 5D) 3x + 2
Mathematics
1 answer:
lukranit [14]4 years ago
5 0
\dfrac{2x^3-12x^2+18x-108}{x-6}=\dfrac{2x^2(x-6)+18(x-6)}{x-6}\\\\=\dfrac{(x-6)(2x^2+18)}{x-6}=2x^2+18\\\\Answer:\ B)\ 2x^2+18
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Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$
OlgaM077 [116]

hmmm let's find the distance between B and C first off.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0
2 years ago
The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in
Evgesh-ka [11]
The most consistent attendance is the one that has less variability (it's more regular). Not necessarily the one with more students. So, the case with less variability is the one with less IQ, sigma or range (all three measure the dispersion of a distribution. IQ is more robust than sigma, and sigma more than the range, although in practice everyone uses sigma).

So, the answer to A) is the third High School: HS P

B) Here one looks at the central measurement: mean, median. This example is not super easy. HS N has the highest mean value, but HS P has the highest median. The median is more robust than the mean, since it is less affected by outliers. So HS P is a good candidate.

Finally, looking at the Low/High values, one can see that the high is the same: some day(s) when all students went and all HS have a maximum number of 180 students. However, the highest low is HS P.

So, I think HS P should also be awarded for the highest rate, since its median
is the highest and the lower number of students is the highest.

Median means 50% of the cases have values less than the median. Mean is an average.
3 0
3 years ago
What is the largest amount - 2 pt 4 fl oz., 5 cups or 39 fl oz?
Nadusha1986 [10]
5 cups
Because
It has
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4 0
3 years ago
Mean median mode range of 13,11,8,8,12,8
igomit [66]
I think the median is 8 or 11
7 0
3 years ago
Read 2 more answers
Type the standard form of three hundred thousand two hundred one
leonid [27]

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Standard form is numbers only.

Examples of standard numbers are 4, 225, or 9,002

A thousands number has 4 digits.

A hundreds number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the ones digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

5 0
3 years ago
Read 2 more answers
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