B

B

B

a: Thay x=0 và y=5 vào (d), ta được:

m*0+5=5

=>5=5(đúng)

=>ĐPCM

b: x1<x2; |x1|>|x2|

=>x1*x2<0

PTHĐGĐ là:

x^2-mx-5=0

Vì a*c<0

nên x1,x2 luôn trái dấu

=>Với mọi m

e: \(E=\frac{8}{77}+\frac{12}{187}+\frac{4}{323}+\frac{8}{21}+\frac{10}{456}\)

\(=\frac{8}{7\cdot11}+\frac{12}{11\cdot17}+\frac{4}{17\cdot19}+\frac{10}{19\cdot24}+\frac{8}{21}\)

\(=2\left(\frac{4}{7\cdot11}+\frac{6}{11\cdot17}+\frac{2}{17\cdot19}+\frac{5}{19\cdot24}\right)+\frac{8}{21}\)

\(=2\left(\frac17-\frac{1}{11}+\frac{1}{11}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{24}\right)+\frac{8}{21}\)

\(=2\left(\frac17-\frac{1}{24}\right)+\frac{8}{21}=2\cdot\frac{24-7}{7\cdot24}+\frac{8}{21}=2\cdot\frac{17}{7\cdot24}+\frac{8}{21}\)

\(=\frac{17}{7\cdot12}+\frac{8}{21}=\frac{17}{84}+\frac{32}{84}=\frac{49}{84}=\frac{7}{12}\)

f: \(G=\frac{2}{35}-\frac{3}{28}+\frac{3}{10}+\frac{7}{78}-\frac{9}{52}\)

\(=\frac{2}{5\cdot7}-\frac{3}{4\cdot7}+\frac{3}{2\cdot5}+\frac{7}{78}-\frac{9}{4\cdot13}\)

\(=\frac15-\frac17-\frac14+\frac17+\frac12-\frac15+\frac{7}{78}-\frac14-\frac{1}{13}\)

\(=\left(\frac15-\frac15\right)+\left(-\frac17+\frac17\right)+\left(-\frac14+\frac12-\frac14\right)+\frac{7}{78}-\frac{1}{13}\)

\(=\frac{7}{78}-\frac{1}{13}=\frac{7}{78}-\frac{6}{78}=\frac{1}{78}\)

1 making

2 amazed

3 eight

4 Stretching the drumhead

5 countries