Matemáticas acceso a grado superior 2020 Madrid


a) ????(0) = 0,90 = 1????????????
b) ????(3,5) = 0,93,5 = 0,69????????????
c) 0,729 = 0,9???? ⇒ ???????????? 0,729 = ???????????? 0,9???? ⇒ ???????????? 0 , 729 = ???? ⋅ ????????????0,9 ???? = ???????????? 0,729 ???????????? 0,9 = 3 ????????
A) Chico Chica TOTAL tenis 8 7 15 no tenis 2 7 9 TOTAL 10 14 24
b) PT=15/24=5/8
c) ????(0 ∩ ????) = 8/24 = 1/3
d) ???? (?̅? ????⁄ ) = ????(?̅?∩????) / ???????? = 7/24 / 14/24 = 7/14 = 1/2
e) ????(0 ∩ ????) = 1/3 ≠ ???????? ⋅ ???????? = 10/24 · 15/24 = 25/96 No son independientes. Sea X los kg de Harina e y los kg de arroz
{ 50???? + 80???? = 300 50 · 0,8???? + 80 · 0,85???? = 250 Simplificando: { 5???? + 8???? = 30 20???? + 34???? = 125 Multiplicando la primera por -4 { −20???? − 32???? = −120 20???? + 34???? = 125 Sumando 2y=5; y=2,5 € 5x+8·2,5=30; 5x+20=30; 5x= 10; x=2€
a) ????(−1) = (−1)3 − (−1)2 − 2(−1) = −1 − 1 + 2 = 0 ????(−1) = 2(−1)3 + 5(−1)2 + 3(−1) = −2 + 5 − 3 = 0
b) P(X)=????(????2 − ???? − 2) =x(X+1)(x-2) 1 -1 -2 -1 -1 2 1 -2 0 Q(x)=????(2????2 + 5???? + 3)=x(x+1)(2x+3) 2 5 3 -1 -2 -3 2 3 0
c) ????3 − ????2 − 2???? / 2????3 + 5????2 + 3???? = x(X + 1)(x − 2) / x(x + 1)(2x + 3) = ???? − 2 / 2???? + 3
a) ???? = 3−5 / −1−1 = −2 / −2 = 1
b) Y=x+n 5=1+n; n=4 Y=x+4
c) 2x+4y+k=0; 2·0+4·2+k=0; k=-8 2x+4y-8=0 Simplificando X+2y-4=0