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Mathematics 16 Online
OpenStudy (gavin39):

sWhat is the equation in point-slope form of the line passing through (2, 2) and (4, 8)? (y - 2) = 3(x - 2) (y + 2) = 3(x + 2) (y - 8) = -3(x - 4) (y + 8) = -3(x + 4)

OpenStudy (joannablackwelder):

Slope = m = (y2 - y1)/(x2 - x1)

OpenStudy (gavin39):

So it would be B?

OpenStudy (joannablackwelder):

Yup :)

OpenStudy (gavin39):

Could you help me out with some more?

OpenStudy (joannablackwelder):

Sure, I'll see what I can do.

OpenStudy (gavin39):

Factor 3x2 - 6x - 9 completely. 3(x - 1)(x + 3) 3(x + 1)(x - 3) (3x + 1)(x - 3) (3x +1)(x - 3)

OpenStudy (joannablackwelder):

I would factor out a 3 first since all the terms are multiples of 3.

OpenStudy (gavin39):

Hmmm I had an idea the answer was C

OpenStudy (joannablackwelder):

Multiply it out and see if it works.

OpenStudy (gavin39):

Only thing confusing me is the 6

OpenStudy (joannablackwelder):

Factoring out c, I get 3x^2 - 8x - 3

OpenStudy (joannablackwelder):

Did you try factoring out a 3 out of the quuadratic?

OpenStudy (gavin39):

Yeah im just completely comfused on this one

OpenStudy (joannablackwelder):

Factoring out a 3 I get 3(x^2 - 2x - 3)

OpenStudy (gavin39):

Now that I look at it, I believe its as well B

OpenStudy (joannablackwelder):

Yup, that's what I get.

OpenStudy (gavin39):

What is the 3rd term when -2h4 + 5h2 - 3 - 2h - 8h3 is arranged in descending order? h -8h3 6f4 5h2

OpenStudy (gavin39):

-8h3, right?

OpenStudy (joannablackwelder):

Descending order means the exponents go from largest to smallest. I don't get what you got.

OpenStudy (gavin39):

ooo ok so it would be 6f4? Those are the 4 choices that I have to choose from

OpenStudy (joannablackwelder):

I don't see 6f4 as a term at all...?

OpenStudy (gavin39):

Yeah the choices are h, -8h3, 6f4 and 5h2

OpenStudy (joannablackwelder):

How could 6f4 be the answer when it isn't a term in the problem statement?

OpenStudy (gavin39):

Here is the question

OpenStudy (gavin39):

What is the 3rd term when -2h4 + 5h2 - 3 - 2h - 8h3 is arranged in descending order? A) h B) -8h3 C) 6f4 D) 5h2

OpenStudy (gavin39):

I see what you mean about the 6f4 sorry didn't notice that

OpenStudy (joannablackwelder):

Right, so these are the terms we are to order and find the third term: -2h4 + 5h2 - 3 - 2h - 8h3

OpenStudy (joannablackwelder):

No worries. So, can you put them in descending order?

OpenStudy (gavin39):

I think it will go 5h2, -2h, -2h4, -3 and -8h3?

OpenStudy (joannablackwelder):

So, the exponent is the number after the variable.

OpenStudy (gavin39):

Yeah so then it would be H?

OpenStudy (joannablackwelder):

H isn't a term either...

OpenStudy (gavin39):

only other one I can think of is 5h2

OpenStudy (joannablackwelder):

-2h4 - 8h3 + 5h2...Yup

OpenStudy (gavin39):

How about this one @JoannaBlackwelder

OpenStudy (gavin39):

sGiven f(x) = the quantity of x plus 7, divided by 5, solve for f-1(3). -20 2 8 10

OpenStudy (joannablackwelder):

Is f-1(3) the inverse of f at 3?

OpenStudy (joannablackwelder):

If so, do you know how to find an inverse function?

OpenStudy (gavin39):

it would be -3

OpenStudy (joannablackwelder):

What would be -3?

OpenStudy (gavin39):

wouldn't the 3 turned to a negative 3? Sorry I suck st algebra 2 lol

OpenStudy (joannablackwelder):

In the problem, is the -1 a superscript?

OpenStudy (gavin39):

Yes?

OpenStudy (joannablackwelder):

Then that means the inverse of f, which is when you switch x and y, then solve for y.

OpenStudy (gavin39):

If im understanding correctly and doing the right equation in my head the answer would be 2?

OpenStudy (joannablackwelder):

Once you get the inverse function, then you would plug in 3 for x.

OpenStudy (joannablackwelder):

The answer would be 2 if the question asked for f(3), not f inverse at 3.

OpenStudy (gavin39):

Damn. Yeah sorry cant think to late lol ha. But im stuck in the middle of a test

OpenStudy (joannablackwelder):

You are almost there. When you switch x and y the function will look like: x = (y + 7)/5

OpenStudy (joannablackwelder):

Solve for y.

OpenStudy (gavin39):

8 os the answer!!!!!

OpenStudy (joannablackwelder):

Yay! :)

OpenStudy (gavin39):

Ha thank you thank you. I appreciate your help! Im good for now!

OpenStudy (joannablackwelder):

Glad I could help. :)

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