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2 years ago

Mark started doing math exercises at half past nine in the morning, and finished it at a

Mathematics

1 answer:

Rainbow [258]2 years ago

8 0

Answer:

sorry I don't know

Step-by-step explanation:

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Which is the range of the following relation?

Afina-wow [57]

Answer:

Odd integers

Step-by-step explanation:

The range is odd integers, if you add 1 to any even integer it becomes an odd integer. 2+1=3; 10+1=11

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3 years ago

Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .

5 0

2 years ago

Pls pls help i realy need help

lisov135 [29]

Answer:

a <= 3

Step-by-step explanation:

4 0

3 years ago

What is a conversion factor that you can use to convert gallons to pints.How did you find it

swat32

To convert gallons to pints, multiply the gallons by 8. Since there are 4 quarts in a gallon and 2 pints in each quart, you multiply by 8 since 4*2 is 8.

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3 years ago

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-9 +m=20<br> answer asap please!!

grigory [225]

Answer:

Step-by-step explanation:

at 9 on both sides to get m alone

-9+m=20

+9. +9

m= 29

7 0

2 years ago

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