2 years ago

What will result in a graph that is narrower than the parent function

Mathematics

1 answer:

snow_tiger [21]2 years ago

3 0

Answer:

if it's a whole number like 2,3,4 instead of fraction, then the parabola will be slimmer than the parent function

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Given the following two points, find the Rate of Change for the function. (-2,-1) and (4,5)

horsena [70]

Answer:

(6, 6)

Step-by-step explanation:

(x) 4-(-2) = 6

(y) 5-(-1)= 6

5 0

2 years ago

Help need to finish!!? 6 and 7

tatyana61 [14]

6. 3X6= 4xm
18=4m
Divide by 4
M=4.5

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8.4

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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 .