- anonymous

CAN SOMEONE CHECK MY ANSWERS PLEASE????
1.Which is the converse of the statement?
If x is odd, then 2x + 1 is odd.
If 2x + 1 is odd, then x is odd.
If 2x + 1 is not odd, then x is not odd.<<<<
If x is odd, then 2x + 1 is odd.
If x is not odd, then 2x + 1 is not odd.
2.Simplify. -27a^4b^3/3ab
–9a2b
–9a3b2
–3ab
-a^2/9b<<<<<<<<<<<

- schrodinger

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- anonymous

- UsukiDoll

ok so the negation of the first statement is
If x is NOT odd, then 2x + 1 is NOT odd.
converse is flipping the statement
If 2x+1 is odd, then x is odd
contrapositive is the negative version of that converse statement
if 2x+1 is NOT odd, then x is NOT odd

- UsukiDoll

\[\frac{-27a^4b^3}{3ab} \rightarrow = -9a^3b^2\]

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## More answers

- UsukiDoll

exponent laws \[\frac{a^4}{a} \rightarrow a^{4-1} \rightarrow a^3 \] same applies to b

- anonymous

Thats for the second question right?

- UsukiDoll

yeah... imo both of your answers are way off

- anonymous

Oh..

- UsukiDoll

Original statement
If A then B
Negation
If NOT A then NOT B
conversely
if B then A
contrapositive
if NOT B then NOT A

- UsukiDoll

Original statement
A = x is odd
B = 2x+1 is odd
If A then B
if x is odd then 2x+1 is odd
Negation
If NOT A then NOT B
if x is NOT odd then 2x+1 is NOT odd
conversely if B then A
If 2x+1 is odd then x is odd
contrapositive if NOT B then NOT A
if 2x+1 is NOT odd then x is NOT odd

- UsukiDoll

these guys fail to mention that you can fine tune the negative versions of the statement
If NOT A then NOT B
if x is NOT odd then 2x+1 is NOT odd
if x is even then 2x+1 is even

- anonymous

isnt it odd?

- UsukiDoll

I said you can refine the negative versions of the statement
Negation
If NOT A then NOT B
if x is NOT odd then 2x+1 is NOT odd
if it's not odd, then it's even.. but that can be easily disproved because 2k is even and 2k+1 is odd

- anonymous

Alright..I understood what you told me and when I used it in the equation I get a different answer than they give in the options

- UsukiDoll

a different answer?

- anonymous

Yes I get an even but the choices are all odd

- UsukiDoll

it's probably because they haven't realized that they can fine tune it .

- UsukiDoll

but converse statements are usually positive ... it's the original if A then B statement written in reverse.

- anonymous

So C should be the reverse from the original A then B

- anonymous

Am I correct? or still way off?

- UsukiDoll

worse.......and on top of that I gave out the definitions earlier

- UsukiDoll

look at what I wrote earlier.

- anonymous

So if 2x+1 is odd, then x is odd right?

- UsukiDoll

yes

- anonymous

So if I got that then the answer is A

- UsukiDoll

yes

- anonymous

YES!!!!!!!!!!!!!!!!!!!!!!!!!!!

- anonymous

Can you help with the first question?

- UsukiDoll

of?

- anonymous

Sorry I meant the second question

- UsukiDoll

it's straight forward..... you need to understand the exponent laws for a and b we know that \[\frac{-27}{3} = -9\]

- UsukiDoll

if a and b are just single then it's technically \[a^1\] and \[b^1\] but no one writes it like that anymore

- UsukiDoll

the same goes for -1c... professors will mark points off not because it's wrong.. because the notation is childish... so the correct way to express your answer is -c

- anonymous

Oh really? how come?

- UsukiDoll

they claim that you grew up from high school so now it's time to write it in college style notation

- UsukiDoll

the same goes for simple stuff like this 7+(-7) you can't have a double sign it's 7-7 =0
again for 7-(-7). distribute that negative it's now 7+7 = 14

- UsukiDoll

when I reached Algebra 2, I had to knock it off with writing -1c and just write -c
for the simple problems, it's Algebra 1 that you need to stop writing double signs

- UsukiDoll

and stop writing a^1

- UsukiDoll

that's how the professors work now.

- anonymous

You dont know how many questions I got wrong b/c this -3-3 is actually -3+3 or 5-5-4 is actually 5+ -5 + -4

- UsukiDoll

you can't have double signs... can't have +-, -- , -+,++ . just one is allowed either - or +

- UsukiDoll

I don't know why teachers write stuff like that...it's irritating

- anonymous

That's how I've had it for a few tests

- anonymous

It is reasons why I come to open study xD

- UsukiDoll

what grade are you in?

- anonymous

I'm a freshman

- UsukiDoll

oh 9th grade?

- anonymous

Yeah

- UsukiDoll

where did you get that first question? It belongs in logic and discrete math. something in the 300 level at my university

- UsukiDoll

unless you're at a private school?

- anonymous

No I'm home schooled

- UsukiDoll

oh O_O... in a way that's great because public schools went nuts... you don't want to learn common core..trust me. I'm a Math Major and I hate everyday common core did to Math .

- UsukiDoll

*everything

- anonymous

Lmao if you dont like it then why major in it?

- UsukiDoll

If I didn't go further in my Math Studies, I wouldn't have been able to help you.

- UsukiDoll

xD. I said Common Core Math was awful....the stuff that makes simple subtraction crazy. my cousins, second grade and kindergarten, are stuck with it. Public and private schools have it. x(

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