Respuesta :

Answer:

The first two are equivalent but the last one is only true for t=1, so it's not equivalent.

Equal

Equal

Not Equal

If you need an explanation, just ask. Hope this helps! :]

Answer:

On the one hand,

Answer:

f(t) = 10^(t^2 + 2t - 3)

    = 10^(t^2 + 2t) x 10^(-3)

    = 10^(t^2 + 2t)/10^3

    = 10^(t^2 + 2t)/1000   => Option A is correct

    = 10^(t^2) x 10^(2t)/1000  => Option B is correct.

On the other hand,

f(t) = 10^(t^2 + 2t - 3) = 10^(t^2 + 2t) x 10^(-3) = 10^

A = t^2 + 2t - 3 = t^2 - t + 3t - 3 = t(t - 1) + 3(t - 1) = (t + 3)(t - 1)

=> f(t) = 10^[(t + 3)(t - 1)]

=> Option C is wrong, in which f(t) = 10^[(t - 3)(t - 1)]

Hope this helps!

:)