We study AC electric, thermoelectric, and thermal conductivities in a holographic model, which is based on 3+1 dimensional Einstein-Maxwell-scalar action. There is momentum relaxation due to massless scalar fields linear to spatial coordinate. The model has three field theory parameters: temperature, chemical potential(⧵mu), and effective impurity(⧵beta). At low frequencies, if ⧵beta<⧵mu, all three AC conductivities exhibit a Drude peak modified by pair creation contribution(coherent metal). The parameters of this modified Drude peak are obtained analytically. If ⧵beta>⧵mu the shape of peak deviates from the Drude for (incoherent metal). At intermediate frequencies (T<⧵omega<⧵mu), we have analysed numerical data of three conductivities for a wide variety of parameters, searching for scaling laws, which are expected from either experimental results on cuprates superconductors or some holographic models. In the model we study, we find no clear signs of scaling behaviour. We extend our analysis at finite magnetic field and in a holographic superconductor phase.