Answer:
p = 17 and -15
Step-by-step explanation:
If q is directly proportional to (p-1)², this can be written as;
q = k(p-1)²
If q = 20 when p = 3
20 = k(3-1)²
20 = 2²k
20 = 4k
k = 5
To get p wen q = 80
80 = 5(p-1)²
16 = (p-1)²
p-1 = ±√16
p-1 = 16 and p-1 = -16
p = 17 and p=-16+1
p = 17 and -15
Answer:
only 20 students would
Step-by-step explanation:
the probability would be very since it is 20 out of 115. i hope this helped
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