anonymous
  • anonymous
Solve the problem, If f(x)= x-3A/3x+5 and f(3)=6. what is the value of A?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
this is f(x), right? \[\Large f(x) = \frac{x-3A}{3x+5}\]
anonymous
  • anonymous
Correct

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More answers

jim_thompson5910
  • jim_thompson5910
\[\Large f(x) = \frac{x-3A}{3x+5}\] \[\Large f(3) = \frac{3-3A}{3(3)+5}\] \[\Large 6 = \frac{3-3A}{3(3)+5}\] \[\Large 6 = \frac{3-3A}{14}\] \[\Large 14*6 = 14*\frac{3-3A}{14}\] \[\Large 84 = 3-3A\] \[\Large A = ??\]
jim_thompson5910
  • jim_thompson5910
In step 2, I replaced every x with 3 In step 3, I replaced f(3) with 6 (since f(3) = 6)
anonymous
  • anonymous
Okay so I got A= -27
anonymous
  • anonymous
|dw:1433980377815:dw|
anonymous
  • anonymous
Use the accompanying graph of y=f(x) to sketch the graph of the indicated equation. Graph one transformation in each coordinate system.
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
f(-x) means you reflect over the y axis 2*f(-x) means you scale vertically, or stretch vertically, by a factor of 2
anonymous
  • anonymous
How would I show this on the coordinate plane?
jim_thompson5910
  • jim_thompson5910
start by reflecting each point over the y axis
anonymous
  • anonymous
so it would be (-2,-2) and then? what?
jim_thompson5910
  • jim_thompson5910
do the same for the other points as well
jim_thompson5910
  • jim_thompson5910
|dw:1433981229533:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433981248199:dw|
jim_thompson5910
  • jim_thompson5910
imagine this happens to all of the points
jim_thompson5910
  • jim_thompson5910
you'd get something like this |dw:1433981278828:dw|
anonymous
  • anonymous
Okay :)
anonymous
  • anonymous
and then? how would I do the second part?
jim_thompson5910
  • jim_thompson5910
the 2* out front means you double each y coordinate
jim_thompson5910
  • jim_thompson5910
ex: (2,-2) ----> (2,-4)
jim_thompson5910
  • jim_thompson5910
ex: (2,-2) ----> (2,-4) |dw:1433981434340:dw| imagine this happens to EVERY point
anonymous
  • anonymous
so I would show this for each point!
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
and the overall graph
anonymous
  • anonymous
Alright awesome thank you!
anonymous
  • anonymous
ONe quick question
anonymous
  • anonymous
Before you leave! :)
anonymous
  • anonymous
If they ask me for which of the following values of x does f(x)=-20 and the graph is showing :|dw:1433981600730:dw|
jim_thompson5910
  • jim_thompson5910
draw a horizontal line through y = -20 |dw:1433981843252:dw|
jim_thompson5910
  • jim_thompson5910
then determine where that horizontal line crosses the curve
anonymous
  • anonymous
(-25,15), (-15,0), (0,-15) , (10,-20) , (15,-10), (20,10) and (25,0)
anonymous
  • anonymous
those are the points they provide!
anonymous
  • anonymous
I know that -20 and 10 both have f(x)=-20
jim_thompson5910
  • jim_thompson5910
hint: y = f(x)
anonymous
  • anonymous
How would I determine the answer?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
another hint: each point is of the form (x,y)
anonymous
  • anonymous
Would I say {-20,10}
anonymous
  • anonymous
This is all I could think of!
jim_thompson5910
  • jim_thompson5910
(-20,10) means x = -20
jim_thompson5910
  • jim_thompson5910
but they say f(x) = -20
anonymous
  • anonymous
OKAY,,,, maybe I put it wrong? (-20,-20) and (10,-20)
jim_thompson5910
  • jim_thompson5910
just look through the points (-25,15), (-15,0), (0,-15) , (10,-20) , (15,-10), (20,10) and (25,0) where the y coord is -20
jim_thompson5910
  • jim_thompson5910
y = f(x) f(x) = -20 y = -20
anonymous
  • anonymous
Okay so all I would say is (10,-20) correct?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes that is the only point that fits the description
anonymous
  • anonymous
okay... and sorry one last thing I PROMISE!!!
anonymous
  • anonymous
iF I HAVE THE SAME coordinate plane but with different points and it is 20 instead of 25 and they ask for what numbers x is f(x)<0?
anonymous
  • anonymous
How would I write this?
anonymous
  • anonymous
It starts with -12 I know this but would it be [-12,-1]
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
can you post a screenshot of the full problem?
anonymous
  • anonymous
|dw:1433982828860:dw|
anonymous
  • anonymous
The graph of a function f is given. Use the graph to answer the question. (-20,12) , (-12,0) , (0,-12) , (8,-16) , (12, -8), (16,8) and (20,0)
anonymous
  • anonymous
For what numbers x is f(x)<0 ?
jim_thompson5910
  • jim_thompson5910
look at the points where the y coord is negative
jim_thompson5910
  • jim_thompson5910
|dw:1433983055819:dw|
anonymous
  • anonymous
Okay and they cant be greater than 0 correct?
jim_thompson5910
  • jim_thompson5910
yeah because you said f(x) < 0
anonymous
  • anonymous
Right so how would I say this?
jim_thompson5910
  • jim_thompson5910
they just want you to list points?
anonymous
  • anonymous
OKay so in this case it would be (-12,0)
jim_thompson5910
  • jim_thompson5910
if that's the case, then list any points with y coordinates less than 0
anonymous
  • anonymous
It asks me For what numbers x is f(x)<0
jim_thompson5910
  • jim_thompson5910
what are the x intercepts of that graph
anonymous
  • anonymous
-20 , -16, -12, -8, -4,0 4, 8, 12, 16 and 20
jim_thompson5910
  • jim_thompson5910
|dw:1433983321114:dw|
anonymous
  • anonymous
on the far left its -12 and on the far right its probably 14 because its in between 12 and 16
jim_thompson5910
  • jim_thompson5910
|dw:1433983408801:dw|
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
|dw:1433983425459:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433983449734:dw|
anonymous
  • anonymous
ok
anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
???
anonymous
  • anonymous
@jim_thompson5910 how would I write this?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
I think they just want the x values that correspond to when y is negative
anonymous
  • anonymous
So would I write something like [-12, -1]
jim_thompson5910
  • jim_thompson5910
where are you getting -1?
anonymous
  • anonymous
idk? I am guessing that this is correct? but I have no clue
anonymous
  • anonymous
[-12, 14]
jim_thompson5910
  • jim_thompson5910
the x intercepts are -12 and 14 the interval (-12,14) represents the region when f(x) < 0
anonymous
  • anonymous
OKay thank you! but wouldnt it have to be [ instead of ( ?
jim_thompson5910
  • jim_thompson5910
() because you don't include the points on the x axis
jim_thompson5910
  • jim_thompson5910
not [ ]
anonymous
  • anonymous
OKay I got cha awesome thank you so so so much your amazing :D
jim_thompson5910
  • jim_thompson5910
yw

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