Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. a)∃x∀y(x + y = y) b)∀x∀y(((x ≥ 0) ∧ (y < 0)) → (x − y > 0)) c)∃x∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x − y > 0)) d)∀x∀y((x ≠ 0) ∧ (y ≠ 0) ↔ (xy ≠ 0))

nope.   happens to me as well.

-aparri

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