A) reflect graph over x-axis (minus in front)
e) compress the graph to the x-axis (coefficient 1/2)
f) translate the graph to the right (x-9), minus between x and 9.
From the table, y varies directly as x. Therefore, the constant of variation is k = 2 and y = 2x.
<h3>How to find a direct variation?</h3>
For direct variation,
y ∝ x
Therefore,
y = kx
where
- k = constant of proportionality
Hence,
(-2, -4)
-4 = -2k
k = -4 / -2
k = 2
(-4, -8)
y = -4(2) = -8
Therefore,
k = 2 and y = 2x
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(x+y)+(x-y)i=7+3i
x+y =7
x-y =3
add these two equations together
x+y =7
x-y =3
------------------
2x = 10
divide by 2
x=5
x+y = 7
5+y =7
subtract 5 from each side
y =2
Answer: x=5
y=2
The question is incomplete. The complete question is :
A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence every time it is turned on. What is the probability that all the lights will switch on ?
Solution :
It is given that :
There is board connected to = 20 bulbs
And one can either be put ON or put OFF.
Therefore the chance that a bulb is ON = 
It is given that every time a bulb turns ON, the board lights up in a random sequence.
Therefore, the probability of all the lights to be switched ON is given by :


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