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Marizza181 [45]
3 years ago
11

Is the term (X + 2) a factor of the polynomial shown below?

Mathematics
1 answer:
QveST [7]3 years ago
3 0

The correct answer is: No, the remainder is -114

Further explanation:

In order to check whether the given term is a factor of given polynomial or not we will put

x+2=0

x=-2

Given

f(x)=x^3 - 10x^2 + 27^x - 12\\f(-2)=(-2)^3-10(-2)^2+27(-2)- 12\\=-8-10(4)-54-12\\=-8-40-54-12\\=-114

As the remainder is -114, the term x+2 is not a factor of given polynomial

The correct answer is: No, the remainder is -114

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/12933039
  • brainly.com/question/12933852

#LearnwithBrainly

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Answer:

a)32.86x10=328.6

b)32.86x100=3286

c)0.85x100=85

Step-by-step explanation:

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reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist
tatyana61 [14]

Answer:

3/4

Step-by-step explanation:

Find the number that can be divided into both numbers.

12÷4 =3 16÷4=3

8 0
4 years ago
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lesya692 [45]
Given:
Rectangle: 320 x 190
triangle: base: 305
I'm assuming that the unit measure is in miles.

I found a map of Nevada and I figured that the length of the rectangle is serving as the height of the triangle.

Area of the rectangle = Length * width
A = 320 mi x 190 mi 
A = 60,800 sq. mi.

Area of a triangle = (height * base) / 2
A = (320 mi x 305 mi) / 2
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4 0
3 years ago
61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. T
Molodets [167]

Complete question :

61 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

Pairs of Shoes4__5__6__7 __8 __9 __10 __11

Frequency : _ 8 _ 8 __5 _ 5 _ 9 __11 __7 ___8

Answer:

Mean = 7.64 ;

Median = 8

Q1 = 5

Q3 = 9

Atleast 10 pairs = 24.6

76% is equivalent to

Step-by-step explanation:

Round all your answers to 4 decimal places where possible.

10

The mean is:

Σfx /Σf

((8*4)+(5*8)+(6*5)+(7*5)+(8*9)+(9*11)+(10*7)+11*8)) ÷ (8+8+5+5+9+11+7+8) = 7.64

The median is:

0.5(n+1)th observation

n = frequency = 61

0.5(61 +1) = 1/2 * 62 = 31st observation

= 8

First quartile:

0.25(n+1)th observation

n = frequency = 61

0.25(61 +1) = 1/4 * 62 = 15.5

(15 + 16)th observation ÷ 2 = (5 + 5) / 2 = 5

The sample standard deviation is:

The third quartile is:

0.75(n+1)th observation

n = frequency = 61

0.75(61 +1) = 1/4 * 62 = 46.5

(46 + 47)th observation ÷ 2 = (5 + 5) / 2 = 9

What percent of the respondents have at least 10 pairs of Shoes? %

(7 + 8) / 61 = 15 / 61 = 0.246

76% of all respondents have fewer than how many pairs of Shoes?

(76 / 100) * 61

0.76 * 61

= 46.36

(46th + 47th)

(9 + 10) = 19 /2 = 9.5 = 10

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3 years ago
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Answer: C

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