Mathematics
21 Online
Nicole:
http://prntscr.com/nl3kaa
7 years ago
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Nicole:
@Vocaloid @Narad
7 years ago
Nicole:
?
7 years ago
Nicole:
@Hero
7 years ago
Narad:
Question 1
A direct proportion doent have reciprocal, squares or square roots
7 years ago
Narad:
Question 2
y=a/x
with the values given y=5 and x =-1, you can calculate a, then obtain the equation
7 years ago
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Narad:
Question 1 is not correct
7 years ago
Narad:
Question 2 is not correct
7 years ago
Narad:
Question 3 in not correct
7 years ago
Nicole:
so question 1 b?
7 years ago
Narad:
yes, this is correct
7 years ago
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Nicole:
for number 2 a=-5
7 years ago
Nicole:
so A?
7 years ago
Narad:
Yes
7 years ago
Nicole:
and 3 is D?
7 years ago
Narad:
Yes
7 years ago
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Narad:
No
7 years ago
Nicole:
isnt it 6*3?
or 6/3?
7 years ago
Narad:
The same as you did before in 2 and 3
7 years ago
Nicole:
D?
7 years ago
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Narad:
yes
7 years ago
Narad:
A direct variation is a straight line
7 years ago
Nicole:
So its inverse
7 years ago
Narad:
yes
7 years ago
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Narad:
A direct proportion is y=ax
Sustitute the values to find a
7 years ago
Nicole:
so y=a/-3 ?
7 years ago
Narad:
Sustutute the values y=15 and x =-3, to find a
7 years ago
Nicole:
15=a/-3
7 years ago
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Narad:
y=ax
a=y/x
7 years ago
Nicole:
a=-45
7 years ago
Narad:
no you are multiplying
7 years ago
Nicole:
Can you make this clear please because im plugging in the numbers and I get -45
7 years ago
Narad:
y=ax
a=y/x=15/(-3)
7 years ago
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Nicole:
Now im getting -5
where do I put the 6 in this
7 years ago
Narad:
y=-5x
Now, plug in x=6
7 years ago
Nicole:
-30
7 years ago
Narad:
yes
7 years ago
Nicole:
so for the next question a=6/-1 is -6
y=-6x
x=5
is -30
7 years ago
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Nicole:
so B?
7 years ago
Narad:
yes
7 years ago
Narad:
y=1/x
y=1/x-4
-4 moves down
7 years ago
Nicole:
so A
7 years ago
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Nicole:
since down
7 years ago
Narad:
yes
7 years ago
Narad:
The parent function is
g(x)=1/x
and
f(x)=1/(x-6)+7
There are 2 transformations
The +7 will translate up by 7 units and
the -6 will translate 6 units to the right
7 years ago
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Narad:
The parent function is
g(x)=1/x
f(x)=a/(x+h)+k
a is a vertical stretch
h is a horizontal shift (a>0, to the left), and (a<0, to the right)
k is a vertical shift, k>0 to the top and k<0 down
7 years ago
Narad:
It's the same the last question except that a=1
7 years ago
Nicole:
but this is range
7 years ago
Nicole:
f(x) < -4 ?
7 years ago
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Narad:
The domain is
\[\mathbb{R} -(-1)\]
y=3/(x+1)-4
y+4=1/(x+1)
x+1=1/(y+4)
x=1/(y+4)-1
So the range is
\[\mathbb{R}-(-4)\]
7 years ago
Narad:
Let
\[y=2/(x-3)-5\]
Can you find x in terms of y?
7 years ago
Nicole:
how can I do that
7 years ago
Nicole:
-5?
7 years ago
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Narad:
yes
\[y \neq -5\]
7 years ago
Narad:
I think it's a litle smaller than -0.5
7 years ago
Nicole:
0.75?
7 years ago
Nicole:
or negative
7 years ago
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Narad:
-0.75
7 years ago
Narad:
Your answer is correct, if you plug in the value of n=1/2, you'll see that RHS is not equal to LHS
7 years ago
Narad:
The same as before
y=a/x
7 years ago
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Nicole:
2=a/9
a=18
7 years ago
Narad:
yes
7 years ago
Nicole:
but dont I have to write an equation?
7 years ago
Narad:
yes
y=a/x
7 years ago
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Narad:
and
y=15/x
7 years ago
Nicole:
direct?
7 years ago
Narad:
yes
7 years ago
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Narad:
The same as before
y=ax
7 years ago
Nicole:
15=a/-3
7 years ago
Nicole:
-45
7 years ago
Narad:
no
7 years ago
Nicole:
then what is it?
7 years ago
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Nicole:
this is timed please
7 years ago
Narad:
y=-5x=-5*4=-20
7 years ago
Nicole:
so -20 is the answer?
7 years ago
Narad:
yes
7 years ago
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Narad:
What would you say?
7 years ago
Nicole:
im not sure tbh
7 years ago
Narad:
at x=1, what's the value of y?
7 years ago
Nicole:
-1?
7 years ago
Narad:
> -1
7 years ago
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Nicole:
oh so thats the answer?
7 years ago
Narad:
no, it's between 0 and -1
7 years ago
Nicole:
how do I know which one
7 years ago
Narad:
you see where is x=1
you go vertically down until you meet the red curve
7 years ago
Nicole:
isnt it -4 then?
7 years ago
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Narad:
Yes
7 years ago
Nicole:
okay
7 years ago
Narad:
The same as the last question
7 years ago
Nicole:
-3?
7 years ago
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Narad:
-0.3
7 years ago
Narad:
The same as before
7 years ago
Nicole:
how do I do the transformations again?
7 years ago
Narad:
\[f(x)=a/(x+h)+k\]
a=stretch vertically
h=horizontal shift, a>0 to the left, a<0 to the right
k=vertical shift, a>0 to the top, a<0 down
7 years ago
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Narad:
h>0 to the left, h<0 to the right
k>0 to the top, k<0 down
7 years ago
Nicole:
can you plug in the numbers please
7 years ago
Narad:
Stretch vertically 5 times
+1 is a horizontal shift to the left
-7 is vertical shift of 7 units down
7 years ago
Narad:
Graph moves 10 units down
7 years ago
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Narad:
Graph moves 5 units up
7 years ago
Narad:
\[y=-6/x\]
y=-6/-1=6
7 years ago
Narad:
Already done, this is false
7 years ago
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Narad:
already done
7 years ago
Nicole:
but the numbers arent plugged in?
7 years ago
Narad:
Stretch vertically by a factor of 3
Horizontal shift to the left by 2 units
Vertical shift up by 4 units
7 years ago
Nicole:
okay thank you
7 years ago
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Narad:
ok
7 years ago