Matura (wrzesień 2020, poziom podstawowy, poprawka, (nowa formuła))

$11$11

$17$17

$17+4\sqrt{15}$17+4\sqrt{15}

$17+2\sqrt{15}$17+2\sqrt{15}

$\displaystyle \displaystyle 3^{ \frac{5}{8} }$\displaystyle \displaystyle 3^{ \frac{5}{8} }

$\displaystyle 3^{ \frac{11}{4} }$\displaystyle 3^{ \frac{11}{4} }

$\displaystyle 3^{ \frac{1}{4} }$\displaystyle 3^{ \frac{1}{4} }

$\displaystyle 3^{ \frac{9}{8} }$\displaystyle 3^{ \frac{9}{8} }

$\log\left(2 \cdot 5\right)+\log\left(3 \cdot 2\right)$\log\left(2 \cdot 5\right)+\log\left(3 \cdot 2\right)

$\log2^5+\log3^2$\log2^5+\log3^2

$2 \cdot 3\log\left(5 \cdot 2\right)$2 \cdot 3\log\left(5 \cdot 2\right)

$\log\left(5^2 \cdot 2^{3}\right)$\log\left(5^2 \cdot 2^{3}\right)

$1$1

$2$2

$3$3

$4$4

$0{,}024$0{,}024

$0{,}24$0{,}24

$0{,}0024$0{,}0024

$0{,}00024$0{,}00024

$3\ 272{,}50\ \text{zł}$3\ 272{,}50\ \text{zł}

$2\ 625\ \text{zł}$2\ 625\ \text{zł}

$2\ 677{,}50\ \text{zł}$2\ 677{,}50\ \text{zł}

$2\ 800\ \text{zł}$2\ 800\ \text{zł}

$k=-6$k=-6

$k=-3$k=-3

$k=3$k=3

$k=6$k=6

$m=5$m=5

$m=-5$m=-5

$m=-9$m=-9

$m=9$m=9

$x=-6$x=-6

$y=-6$y=-6

$x=-2$x=-2

$y=-2$y=-2

$\begin{cases} \displaystyle a<0\\ c< 0 \end{cases}$\begin{cases} \displaystyle a<0\\ c< 0 \end{cases}

$\begin{cases} \displaystyle a<0\\ c> 0 \end{cases}$\begin{cases} \displaystyle a<0\\ c> 0 \end{cases}

$\begin{cases} \displaystyle a>0\\ c< 0 \end{cases}$\begin{cases} \displaystyle a>0\\ c< 0 \end{cases}

$\begin{cases} \displaystyle a>0\\ c> 0 \end{cases}$\begin{cases} \displaystyle a>0\\ c> 0 \end{cases}

$-3$-3

$0$0

$3$3

$9$9

$4\pi\sqrt{2}$4\pi\sqrt{2}

$3\pi\sqrt{2}$3\pi\sqrt{2}

$2\pi\sqrt{2}$2\pi\sqrt{2}

$\pi\sqrt{2}$\pi\sqrt{2}

$y=2x$y=2x

$y=2x+7$y=2x+7

$\displaystyle y=- \frac{1}{2}x$\displaystyle y=- \frac{1}{2}x

$\displaystyle y=- \frac{1}{2}x+7$\displaystyle y=- \frac{1}{2}x+7

$P=\left(0,16\right)$P=\left(0,16\right) i $Q=\left(8,0\right)$Q=\left(8,0\right)

$P=\left(0,8\right)$P=\left(0,8\right) i $Q=\left(16,0\right)$Q=\left(16,0\right)

$P=\left(0,4\right)$P=\left(0,4\right) i $Q=\left(4,0\right)$Q=\left(4,0\right)

$P=\left(0,8\right)$P=\left(0,8\right) i $Q=\left(8,0\right)$Q=\left(8,0\right)

$1{,}5$1{,}5

$2$2

$2{,}5$2{,}5

$3$3

$\displaystyle - \frac{3}{4}$\displaystyle - \frac{3}{4}

$\displaystyle - \frac{4}{3}$\displaystyle - \frac{4}{3}

$\displaystyle \frac{4}{3}$\displaystyle \frac{4}{3}

$\displaystyle \frac{3}{4}$\displaystyle \frac{3}{4}

$\displaystyle \cos\alpha= \frac{5}{2\sqrt{5}}$\displaystyle \cos\alpha= \frac{5}{2\sqrt{5}}

$\displaystyle \cos\alpha= \frac{\sqrt{5}}{5}$\displaystyle \cos\alpha= \frac{\sqrt{5}}{5}

$\displaystyle \cos\alpha= \frac{1}{5}$\displaystyle \cos\alpha= \frac{1}{5}

$\displaystyle \cos\alpha= \frac{4}{5}$\displaystyle \cos\alpha= \frac{4}{5}

$a_n=3n-1$a_n=3n-1

$a_n=3n+2$a_n=3n+2

$a_n=2n+3$a_n=2n+3

$a_n=2n-1$a_n=2n-1

$\displaystyle \frac{1}{6}$\displaystyle \frac{1}{6}

$\displaystyle \frac{1}{8}$\displaystyle \frac{1}{8}

$6$6

$8$8

$a=6,b=22{,}5$a=6,b=22{,}5

$\displaystyle a= \frac{4}{3},b=6$\displaystyle a= \frac{4}{3},b=6

$a=3,b=96$a=3,b=96

$a=2,b=9$a=2,b=9

$y=2x$y=2x i $\displaystyle y=- \frac{1}{2}$\displaystyle y=- \frac{1}{2}

$y=-2x$y=-2x i $\displaystyle \displaystyle y= \frac{1}{2}x$\displaystyle \displaystyle y= \frac{1}{2}x

$y=2x$y=2x i $\displaystyle y= \frac{1}{2} x$\displaystyle y= \frac{1}{2} x

$y=2$y=2 i $y=-2x$y=-2x

$3$3

$6$6

$8$8

$16$16

$506$506

$505$505

$256$256

$255$255

dziewięciokąt

ośmiokąt

osiemnastokąt

dziesięciokąt

$6\sqrt{2}$6\sqrt{2}

$3\sqrt{2}$3\sqrt{2}

$12\sqrt{2}$12\sqrt{2}

$8\sqrt{2}$8\sqrt{2}