1.Link zadatka Vrednost izraza [inline]\displaystyle\left(\frac{\sqrt3+2}{2-\sqrt3}+\frac{\sqrt3-2}{2+\sqrt3}\right)^{-2}[/inline] jednaka je:
[inline]\text{A)}[/inline] [inline]4\sqrt3[/inline] [inline]\text{B)}[/inline] [inline]14[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{\sqrt3}{4}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{1}{192}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{1}{108}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]4\sqrt3[/inline] [inline]\text{B)}[/inline] [inline]14[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{\sqrt3}{4}[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline]\displaystyle\frac{1}{192}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{1}{108}[/inline] [inline]\text{N)}[/inline] Ne znam
2.Link zadatka Ako je [inline]f(x)=\sin2x[/inline] i [inline]g(x)=x+\pi[/inline], onda je [inline]\displaystyle g\biggl(f\left(-\frac{\pi}{6}\right)\biggr)-f\biggl(g\left(-\frac{\pi}{6}\right)\biggr)[/inline] jednako:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{\sqrt3}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle-\frac{\sqrt3}{2}[/inline] [inline]\text{D)}[/inline] [inline]\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\pi-\frac{\sqrt3}{2}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{\sqrt3}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle-\frac{\sqrt3}{2}[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline]\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\pi-\frac{\sqrt3}{2}[/inline] [inline]\text{N)}[/inline] Ne znam
3.Link zadatka Rešenje nejednačine [inline]\displaystyle\frac{1}{x^3}\lt\frac{1}{x}[/inline] je skup oblika:
[inline]\text{A)}[/inline] [inline](-\infty,a)[/inline] [inline]\text{B)}[/inline] [inline](a,b)[/inline] [inline]\text{C)}[/inline] [inline](-\infty,a)\cup(b,+\infty)[/inline] [inline]\text{D)}[/inline] [inline](a,+\infty)[/inline] [inline]\text{E)}[/inline] [inline](a,b)\cup(c,+\infty)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline](-\infty,a)[/inline] [inline]\text{B)}[/inline] [inline](a,b)[/inline] [inline]\text{C)}[/inline] [inline](-\infty,a)\cup(b,+\infty)[/inline] [inline]\text{D)}[/inline] [inline](a,+\infty)[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline](a,b)\cup(c,+\infty)[/inline] [inline]\text{N)}[/inline] Ne znam
4.Link zadatka Broj celobrojnih rešenja nejednačine [inline]\displaystyle\frac{2x-4}{x^2+x-6}\ge1[/inline] je:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] beskonačno mnogo [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] beskonačno mnogo [inline]\text{N)}[/inline] Ne znam
5.Link zadatka Zbir prva tri člana aritmetičkog niza je [inline]9[/inline], a zbir prvih pet članova tog niza je [inline]0[/inline]. Petnaesti član tog niza jednak je:
[inline]\text{A)}[/inline] [inline]-30[/inline] [inline]\text{B)}[/inline] [inline]-33[/inline] [inline]\text{C)}[/inline] [inline]-36[/inline] [inline]\text{D)}[/inline] [inline]-39[/inline] [inline]\text{E)}[/inline] [inline]36[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]-30[/inline] [inline]\text{B)}[/inline] [inline]-33[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]-36[/inline] [inline]\text{D)}[/inline] [inline]-39[/inline] [inline]\text{E)}[/inline] [inline]36[/inline] [inline]\text{N)}[/inline] Ne znam
6.Link zadatka Zbir rešenja jednačine [inline]\displaystyle15\cdot25^x-34\cdot15^x+15\cdot9^x=0[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]-1[/inline] [inline]\text{C)}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{34}{15}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{5}{3}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]-1[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{34}{15}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{5}{3}[/inline] [inline]\text{N)}[/inline] Ne znam
7.Link zadatka Koliko trocifrenih delilaca ima broj [inline]2016[/inline]?
[inline]\text{A)}[/inline] [inline]10[/inline] [inline]\text{B)}[/inline] [inline]16[/inline] [inline]\text{C)}[/inline] [inline]36[/inline] [inline]\text{D)}[/inline] [inline]8[/inline] [inline]\text{E)}[/inline] [inline]12[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]10[/inline] [inline]\text{B)}[/inline] [inline]16[/inline] [inline]\text{C)}[/inline] [inline]36[/inline] [inline]\text{D)}[/inline] [inline]8[/inline] [inline]\text{E)}[/inline] [inline]12[/inline] [inline]\text{N)}[/inline] Ne znam
8.Link zadatka Polinom [inline]P(x)=x^4+ax^3+b[/inline] deljiv je polinomom [inline]Q(x)=x^2-1[/inline]. Ostatak pri deljenju polinoma [inline]P(x)[/inline] polinomom [inline]x+2[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]10[/inline] [inline]\text{B)}[/inline] [inline]0[/inline] [inline]\text{C)}[/inline] [inline]15[/inline] [inline]\text{D)}[/inline] [inline]-5[/inline] [inline]\text{E)}[/inline] [inline]12[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]10[/inline] [inline]\text{B)}[/inline] [inline]0[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]15[/inline] [inline]\text{D)}[/inline] [inline]-5[/inline] [inline]\text{E)}[/inline] [inline]12[/inline] [inline]\text{N)}[/inline] Ne znam
9.Link zadatka Ako je kompleksan broj [inline]z=x+iy[/inline] ([inline]x,y\in\mathbb{R}[/inline], [inline]i^2=-1[/inline]), rešenje jednačine [inline]|z+2i|-\overline z=1+3i[/inline], onda je [inline]x-4y[/inline] jednako:
[inline]\text{A)}[/inline] [inline]12[/inline] [inline]\text{B)}[/inline] [inline]-4[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]4[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]12[/inline] [inline]\text{B)}[/inline] [inline]-4[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]4[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam
10.Link zadatka Prave [inline]32x-y-64=0[/inline] i [inline]16x-y+80=0[/inline] seku se u tački [inline]M(a,b)[/inline]. Tada je [inline]a\cdot b[/inline] jednako:
[inline]\text{A)}[/inline] [inline]224[/inline] [inline]\text{B)}[/inline] [inline]2016[/inline] [inline]\text{C)}[/inline] [inline]9[/inline] [inline]\text{D)}[/inline] [inline]234[/inline] [inline]\text{E)}[/inline] [inline]1008[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]224[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]2016[/inline] [inline]\text{C)}[/inline] [inline]9[/inline] [inline]\text{D)}[/inline] [inline]234[/inline] [inline]\text{E)}[/inline] [inline]1008[/inline] [inline]\text{N)}[/inline] Ne znam
11.Link zadatka Ako je [inline]a=\sin2016^\circ[/inline] i [inline]b=\cos2016^\circ[/inline], onda je:
[inline]\text{A)}[/inline] [inline]b-a\lt0[/inline] [inline]\text{B)}[/inline] [inline]ab\lt0[/inline] [inline]\text{C)}[/inline] [inline]a+b>0[/inline] [inline]\text{D)}[/inline] [inline]-a-b>3[/inline] [inline]\text{E)}[/inline] [inline]a+b>1[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]b-a\lt0[/inline] [inline]\text{B)}[/inline] [inline]ab\lt0[/inline] [inline]\text{C)}[/inline] [inline]a+b>0[/inline] [inline]\text{D)}[/inline] [inline]-a-b>3[/inline] [inline]\text{E)}[/inline] [inline]a+b>1[/inline] [inline]\text{N)}[/inline] Ne znam
12.Link zadatka Broj realnih rešenja jednačine [inline]\sqrt{x+2}=-x[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] Ne znam
13.Link zadatka Vrednost izraza [inline]\displaystyle\left(\frac{1-i\sqrt3}{1-i}\right)^{2016}[/inline] jednaka je:
[inline]\text{A)}[/inline] [inline]2^{2016}[/inline] [inline]\text{B)}[/inline] [inline]2^{2016}i[/inline] [inline]\text{C)}[/inline] [inline]2^{2016}(1+i)[/inline] [inline]\text{D)}[/inline] [inline]2^{1008}[/inline] [inline]\text{E)}[/inline] [inline]2^{1008}(1+i)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]2^{2016}[/inline] [inline]\text{B)}[/inline] [inline]2^{2016}i[/inline] [inline]\text{C)}[/inline] [inline]2^{2016}(1+i)[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline]2^{1008}[/inline] [inline]\text{E)}[/inline] [inline]2^{1008}(1+i)[/inline] [inline]\text{N)}[/inline] Ne znam
14.Link zadatka Proizvod realnih rešenja jednačine [inline]6\log_{64}x+6\log_x64=13[/inline] je:
[inline]\text{A)}[/inline] [inline]8192[/inline] [inline]\text{B)}[/inline] [inline]1008[/inline] [inline]\text{C)}[/inline] [inline]2016[/inline] [inline]\text{D)}[/inline] [inline]512[/inline] [inline]\text{E)}[/inline] [inline]16[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]8192[/inline] [inline]\text{B)}[/inline] [inline]1008[/inline] [inline]\text{C)}[/inline] [inline]2016[/inline] [inline]\text{D)}[/inline] [inline]512[/inline] [inline]\text{E)}[/inline] [inline]16[/inline] [inline]\text{N)}[/inline] Ne znam
15.Link zadatka Trougao čije su stranice jednake [inline]a=21\text{ cm}[/inline], [inline]b=17\text{ cm}[/inline] i [inline]c=10\text{ cm}[/inline] rotira oko stranice [inline]a[/inline]. Zapremina tako nastalog rotacionog tela jednaka je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{64\pi}{3}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{268\pi}{3}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{64\pi}{3}[/inline] [inline]\text{D)}[/inline] [inline]448\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{112\pi}{3}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{64\pi}{3}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{268\pi}{3}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{64\pi}{3}[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline]448\pi[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{112\pi}{3}[/inline] [inline]\text{N)}[/inline] Ne znam
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16.Link zadatka Zbir rešenja jednačine [inline]|2x-3|=x[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]4[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]4[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]2[/inline] [inline]\text{N)}[/inline] Ne znam
17.Link zadatka Zbir najmanje i najveće vrednosti funkcije [inline]f(x)=2x-x^2[/inline] na segmentu [inline][-1,2][/inline] iznosi:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]-3[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\text{E)}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]-3[/inline] [inline]\text{D)}[/inline] [inline]0[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam
18.Link zadatka Date su parabole [inline]y=-x^2-1[/inline] i [inline]x=-y^2+2y-3[/inline]. Prava [inline]p[/inline] koja prolazi kroz temena datih parabola seče koordinatne ose u tačkama [inline]A[/inline] i [inline]B[/inline]. Ako je [inline]O[/inline] koordinatni početak, onda je dužina visine trougla [inline]OAB[/inline] iz temena [inline]O[/inline] jednaka:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{\sqrt2}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{C)}[/inline] [inline]\sqrt2[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{3}{2}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]\displaystyle\frac{\sqrt2}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{C)}[/inline] [inline]\sqrt2[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{3}{2}[/inline] [inline]\text{N)}[/inline] Ne znam
19.Link zadatka Zbir rešenja jednačine [inline]\sin2x=|\cos2x|[/inline] na intervalu [inline](0,\pi)[/inline] jednak je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{5\pi}{8}[/inline] [inline]\text{B)}[/inline] [inline]\pi[/inline] [inline]\text{C)}[/inline] [inline]2\pi[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{3\pi}{2}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{\pi}{2}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{5\pi}{8}[/inline] [inline]\text{B)}[/inline] [inline]\pi[/inline] [inline]\text{C)}[/inline] [inline]2\pi[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{3\pi}{2}[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]\displaystyle\frac{\pi}{2}[/inline] [inline]\text{N)}[/inline] Ne znam
20.Link zadatka Vrednost izraza [inline]\displaystyle\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\cdots+\frac{1}{2016\cdot2017}[/inline] jednaka je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{2015}{2016}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{2016}{2017}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{2016}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{2016}{2015}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2017}{2016}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{2015}{2016}[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]\displaystyle\frac{2016}{2017}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{2016}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{2016}{2015}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2017}{2016}[/inline] [inline]\text{N)}[/inline] Ne znam
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