Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

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

Thanks so much sir. God bless you.

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

Terms of Service

Privacy Policy

Contact: info@tinkutara.com