Which relation is a function?
2 answers:
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Answer: a) k >4.08
b) k = 4.08
c) k<4.08
Step-by-step explanation:
Since we have given that
a) For what values of k will the function have no zeros?
It mean it has no real zeroes i.e. Discriminant < 0
As we know that
Here, a =-3
b = 7
c = -k
So, it becomes,
b) For what values of k will the function have one zero?
It means it has one real root i.e equal roots.
So, in this case, D = 0
So, it becomes,
c) For what values of k will the function have two zeros?
It means it has two real roots.
In this case, D>0
So, it becomes,
Hence, a) k >4.08
b) k = 4.08
c) k<4.08
Answer:
y = 8
Step-by-step explanation:
Given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 2 when x = 3, then
2 = k × 3² = 9k ( divide both sides by 9 )
= k
y = x² ← equation of proportion
When x = 6, then
y = × 6² =
× 36 = 2 × 4 = 8