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OpenStudy (anonymous):
True or False? Y varies directly with x and y = -9 when x = 3. When y = 27, the value of x is 9.
True
False
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myininaya (myininaya):
varies directly means we are going to multiply constant and x
y=kx
now plug in x=3 and y=-9 to find the constant
myininaya (myininaya):
i'm calling the constant k here
myininaya (myininaya):
let me know what you get for k and i will check it
OpenStudy (anonymous):
k = -27?
myininaya (myininaya):
so we have y=kx
y is -9 and x is 3
so we have -9=k(3)
solving for k gives us k=-3
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myininaya (myininaya):
so we now have
y=-3x
OpenStudy (anonymous):
@myininaya... its not directly propositional...y only varies with x...
may b a polynomial function or linear
myininaya (myininaya):
what?
so anyways we have y=-3x
if y=27
then we have 27=-3x
what does imply x is?
myininaya (myininaya):
"y is directly proportional to x" means the same as "y varies directly as x"
OpenStudy (anonymous):
no... for example y=x+ 4.
y varies as x varies but it is not directly proportional
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myininaya (myininaya):
josh if 27=-3x, then x=-9 right? not 9
so the statement is false
OpenStudy (anonymous):
Thanks i just figured it out xD
myininaya (myininaya):
great!
OpenStudy (anonymous):
k...i got it
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