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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)
12 years ago
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OpenStudy (joannablackwelder):
Slope = m = (y2 - y1)/(x2 - x1)
12 years ago
OpenStudy (gavin39):
So it would be B?
12 years ago
OpenStudy (joannablackwelder):
Yup :)
12 years ago
OpenStudy (gavin39):
Could you help me out with some more?
12 years ago
OpenStudy (joannablackwelder):
Sure, I'll see what I can do.
12 years ago
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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)
12 years ago
OpenStudy (joannablackwelder):
I would factor out a 3 first since all the terms are multiples of 3.
12 years ago
OpenStudy (gavin39):
Hmmm I had an idea the answer was C
12 years ago
OpenStudy (joannablackwelder):
Multiply it out and see if it works.
12 years ago
OpenStudy (gavin39):
Only thing confusing me is the 6
12 years ago
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OpenStudy (joannablackwelder):
Factoring out c, I get 3x^2 - 8x - 3
12 years ago
OpenStudy (joannablackwelder):
Did you try factoring out a 3 out of the quuadratic?
12 years ago
OpenStudy (gavin39):
Yeah im just completely comfused on this one
12 years ago
OpenStudy (joannablackwelder):
Factoring out a 3 I get 3(x^2 - 2x - 3)
12 years ago
OpenStudy (gavin39):
Now that I look at it, I believe its as well B
12 years ago
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OpenStudy (joannablackwelder):
Yup, that's what I get.
12 years ago
OpenStudy (gavin39):
What is the 3rd term when -2h4 + 5h2 - 3 - 2h - 8h3 is arranged in descending order?
h
-8h3
6f4
5h2
12 years ago
OpenStudy (gavin39):
-8h3, right?
12 years ago
OpenStudy (joannablackwelder):
Descending order means the exponents go from largest to smallest. I don't get what you got.
12 years ago
OpenStudy (gavin39):
ooo ok so it would be 6f4? Those are the 4 choices that I have to choose from
12 years ago
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OpenStudy (joannablackwelder):
I don't see 6f4 as a term at all...?
12 years ago
OpenStudy (gavin39):
Yeah the choices are h, -8h3, 6f4 and 5h2
12 years ago
OpenStudy (joannablackwelder):
How could 6f4 be the answer when it isn't a term in the problem statement?
12 years ago
OpenStudy (gavin39):
Here is the question
12 years ago
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
12 years ago
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OpenStudy (gavin39):
I see what you mean about the 6f4 sorry didn't notice that
12 years ago
OpenStudy (joannablackwelder):
Right, so these are the terms we are to order and find the third term:
-2h4 + 5h2 - 3 - 2h - 8h3
12 years ago
OpenStudy (joannablackwelder):
No worries. So, can you put them in descending order?
12 years ago
OpenStudy (gavin39):
I think it will go 5h2, -2h, -2h4, -3 and -8h3?
12 years ago
OpenStudy (joannablackwelder):
So, the exponent is the number after the variable.
12 years ago
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OpenStudy (gavin39):
Yeah so then it would be H?
12 years ago
OpenStudy (joannablackwelder):
H isn't a term either...
12 years ago
OpenStudy (gavin39):
only other one I can think of is 5h2
12 years ago
OpenStudy (joannablackwelder):
-2h4 - 8h3 + 5h2...Yup
12 years ago
OpenStudy (gavin39):
How about this one @JoannaBlackwelder
12 years ago
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OpenStudy (gavin39):
sGiven f(x) = the quantity of x plus 7, divided by 5, solve for f-1(3).
-20
2
8
10
12 years ago
OpenStudy (joannablackwelder):
Is f-1(3) the inverse of f at 3?
12 years ago
OpenStudy (joannablackwelder):
If so, do you know how to find an inverse function?
12 years ago
OpenStudy (gavin39):
it would be -3
12 years ago
OpenStudy (joannablackwelder):
What would be -3?
12 years ago
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OpenStudy (gavin39):
wouldn't the 3 turned to a negative 3? Sorry I suck st algebra 2 lol
12 years ago
OpenStudy (joannablackwelder):
In the problem, is the -1 a superscript?
12 years ago
OpenStudy (gavin39):
Yes?
12 years ago
OpenStudy (joannablackwelder):
Then that means the inverse of f, which is when you switch x and y, then solve for y.
12 years ago
OpenStudy (gavin39):
If im understanding correctly and doing the right equation in my head the answer would be 2?
12 years ago
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OpenStudy (joannablackwelder):
Once you get the inverse function, then you would plug in 3 for x.
12 years ago
OpenStudy (joannablackwelder):
The answer would be 2 if the question asked for f(3), not f inverse at 3.
12 years ago
OpenStudy (gavin39):
Damn. Yeah sorry cant think to late lol ha. But im stuck in the middle of a test
12 years ago
OpenStudy (joannablackwelder):
You are almost there. When you switch x and y the function will look like:
x = (y + 7)/5
12 years ago
OpenStudy (joannablackwelder):
Solve for y.
12 years ago
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OpenStudy (gavin39):
8 os the answer!!!!!
12 years ago
OpenStudy (joannablackwelder):
Yay! :)
12 years ago
OpenStudy (gavin39):
Ha thank you thank you. I appreciate your help! Im good for now!
12 years ago
OpenStudy (joannablackwelder):
Glad I could help. :)
12 years ago