Question-9332

Question Number 9332 by tawakalitu last updated on 30/Nov/16

Answered by geovane10math last updated on 30/Nov/16

Answer 6: f(x) = 4x^2 − 1 g(x) = 8x + 7 f(2) = 4(2)^2 − 1 = 4(4) − 1 = 15 g(f(2)) = g(15) = 8(15) + 7 = 120 + 7 % = 127 Letter C. Answer 7: p,q ∈ N ∣ pq = 36 Values for p and q: p = 1 and q = 36; p = 2 and q = 18; p = 3 and q = 12; p = 4 and q = 9; p = q = 6; p = 36 and q = 1; p = 18 and q = 2; p = 12 and q = 3; p = 9 and q = 4. (A) (1/4) = (3/(12)) (B) (4/9) = (4/9) (C) 1 = (6/6) (E) 9 = ((18)/2) Correct answer: (D) 2

$${Answer}\:\mathrm{6}: \\ $$$${f}\left({x}\right)\:=\:\mathrm{4}{x}^{\mathrm{2}} \:−\:\mathrm{1}\:\:\:\:\:\:\:\:\:{g}\left({x}\right)\:=\:\mathrm{8}{x}\:+\:\mathrm{7} \\ $$$${f}\left(\mathrm{2}\right)\:=\:\mathrm{4}\left(\mathrm{2}\right)^{\mathrm{2}} \:−\:\mathrm{1}\:=\:\mathrm{4}\left(\mathrm{4}\right)\:−\:\mathrm{1}\:=\:\mathrm{15} \\ $$$${g}\left({f}\left(\mathrm{2}\right)\right)\:=\:{g}\left(\mathrm{15}\right)\:=\:\mathrm{8}\left(\mathrm{15}\right)\:+\:\mathrm{7}\:=\:\mathrm{120}\:+\:\mathrm{7}\:\% \\ $$$$=\:\mathrm{127} \\ $$$$\boldsymbol{\mathrm{Letter}}\:\boldsymbol{\mathrm{C}}. \\ $$$$ \\ $$$${Answer}\:\mathrm{7}: \\ $$$${p},{q}\:\in\:\mathbb{N}\:\mid\:{pq}\:=\:\mathrm{36} \\ $$$${Values}\:{for}\:\boldsymbol{{p}}\:{and}\:\boldsymbol{{q}}: \\ $$$${p}\:=\:\mathrm{1}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{36}; \\ $$$${p}\:=\:\mathrm{2}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{18}; \\ $$$${p}\:=\:\mathrm{3}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{12}; \\ $$$${p}\:=\:\mathrm{4}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{9}; \\ $$$${p}\:=\:{q}\:=\:\mathrm{6}; \\ $$$$ \\ $$$$\:{p}\:=\:\mathrm{36}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{1}; \\ $$$${p}\:=\:\mathrm{18}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{2}; \\ $$$${p}\:=\:\mathrm{12}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{3}; \\ $$$${p}\:=\:\mathrm{9}\:\boldsymbol{\mathrm{and}}\:{q}\:=\:\mathrm{4}. \\ $$$$ \\ $$$$\left({A}\right)\:\frac{\mathrm{1}}{\mathrm{4}}\:=\:\frac{\mathrm{3}}{\mathrm{12}} \\ $$$$\left({B}\right)\:\frac{\mathrm{4}}{\mathrm{9}}\:=\:\frac{\mathrm{4}}{\mathrm{9}}\: \\ $$$$\left({C}\right)\:\mathrm{1}\:=\:\frac{\mathrm{6}}{\mathrm{6}} \\ $$$$\left({E}\right)\:\mathrm{9}\:=\:\frac{\mathrm{18}}{\mathrm{2}} \\ $$$${Correct}\:{answer}: \\ $$$$\left({D}\right)\:\mathrm{2}\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Commented by tawakalitu last updated on 30/Nov/16

$$\mathrm{Thanks}\:\mathrm{so}\:\mathrm{much}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}. \\ $$

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