Let P(x) be the statement "x = x * x" If the domain consists of the integers, what are these truth values? a) P(0) b) P(1) c) P(2) d) P(−1) e) ∃xP(x) f ) ∀xP(x)

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

the answer is:

the correct option is the option b.

to calculate the surface area of the right cylinder, we need to use the following formula:

from the picture we know that:

so, substituting and calculting we have:

hence, we have that the correct option is the option b.

have a nice day!