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elena55 [62]
3 years ago
10

Could you show me how to divide x^3 + 2x^2 + x + 2 by x^2 + 1

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

x+2

Step-by-step explanation:

For this division we can first use factoring of the numerator, then eliminate the common factors.

\frac{x^{3} +2x^{2} +x+2}{x^{2}+1 }

Factoring the numerator by the term grouping method

\frac{x^{2} (x+2)+(x+2) }{x^{2} +1}

\frac{(x^{2} +1)(x+2)}{x^{2} +1}

removed terms

(x+2)

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A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ 
E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ 
E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
P(E^{c})= \frac{3}{12} \\  \\ 
P(E^{c})= \frac{1}{4}
7 0
3 years ago
Solve the inequalty 2 2/5 < b-8/15
mr_godi [17]

Answer:

b>44

Step-by-step explanation:

12/5<b-8/15

switch sides b-8/15>12/5

multiply both sides by 15  15(b-8)/15>12*15/5

simplify b-8>36

add 8 to both sides b-8+8>36+8

simplify

b>44

4 0
3 years ago
The radius of a circle is 6 inches. What is the circle's circumference?<br> Use 3.14 for ​.
Vikentia [17]

Answer:

37.68 inches

Step-by-step explanation:

The equation for the circumference of the circle is:

C=2\pi r

We can substitute 6 in for "r" and 3.14 for "π":

C=2(3.14)(6\ in)\\C=12\ in(3.14)\\C=37.68\ in^

4 0
2 years ago
What is the lmc of two numbers that have no common factors greater then 1
Luba_88 [7]
We can take prime numbers so they don't have a common factor other than 1.

3, and 5.

So we have to list the multiples to find the LCM

3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20, 25

15 is the LCM of 3 and 5

So, you can notice that if two numbers, lets call them a and b, have no common factor, then a \times b is the LCM.

Hope that helped :)

6 0
3 years ago
Can someone show me how to do this
lbvjy [14]

Answer:

True

Step-by-step explanation:

We got the formula for that:

F=ma

now if you replace the given data, it's gonna be

F=5 kg×3m/s²====> F=15kg.m/s²

7 0
2 years ago
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