Prove or disprove each of the following statements:
(a) there exists a prime number x such that x + 16 and x + 32 are also prime numbers.
(b) ∀a, b, c, m∈z+, if a≡b(mod m), then c^a≡c^b(mod m)
(c) for any positive odd integer n, 3|n or n^2≡1 (mod 12).
(d) there exist 100 consecutive composite integers

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

f(x)=4

step-by-step explanation: