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3 years ago

Use the given function F(x)= 0.08x+4.02 to evaluate the values below

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Step-by-step explanation:

Substituting value of x in the equation we get the answers.

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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

Orlo Jackman heard an ad on the radio for a weekend cruise to the Bahamas, available for $150 off the regular price this week on

SOVA2 [1]

$600 because you must multiply. 150/ (25/100)... 1,500/25= 600

5 0

3 years ago

Read 2 more answers

What is the truth value for the following conditional statement?

Studentka2010 [4]

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

If a and b are both true, then a→b is true.
If a is true, b is false, then a→b is false.
If a is false, b is true, then a→b is true.
If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

3 0

3 years ago

Rachel has a bag of marbles. She added 6 marbles to the bag but then took out 8 marbles. The bag now has 14 marbles. How many ma

Anna35 [415]

Answer:

to my knowledge of this it is 28

Step-by-step explanation:

because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps

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3 years ago

What is 44 in simplified radical form? A.11/4 B.11/2 C.4/11 D.2/11

Aleksandr-060686 [28]

C.4/11 is the answer to your question

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3 years ago