A department store is hiring for the positions of manager, associate manager, and assistant manager. If 15 people have applied for all the positions and are equally qualified for each position, in how many ways can the positions be filled? 45 210 455 2,730.

pi x^2

step-by-step explanation:

pi times x squared

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

60 for the first and 130 for the second

step-by-step explanation: