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Bài này giải được 1 tháng VIP đấy, vì đây là câu hỏi của Toán vui hằng tuần
tham khảo tại:https://hoc24.vn/hoi-dap/tim-kiem?q=Cho+%C4%91a+th%E1%BB%A9c+f+(x)+=+ax3+bx2+cx+dax%5E3+bx%5E2+cx+d++v%E1%BB%9Bi++a+l%C3%A0+s%E1%BB%91+nguy%C3%AAn+d%C6%B0%C6%A1ng+.+Bi%E1%BA%BFt+f+(5)+-+f+(+4+)+=2012+.++Ch%E1%BB%A9ng+minh+f+(7)+-+f+(2)+l%C3%A0+h%E1%BB%A3p+s%E1%BB%91+.&id=249516
Hiện tại anh hơn em 8 tuổi nên ta có sơ đồ đoạn thẳng:
Tuổi em : /------------------------/
Tuổi anh :/------------------------/-------------...
8tuổi
8năm
Tuổi em sau 8 năm: /------------------------/--------------...
Tuổi a trước 5 năm :/------------------------/-----/(------...
5 năm
Vì khi đó tuổi anh bằng 3/4 tuổi em nên dựa vào sơ đồ đoạn thẳng ta có 1/4 tuổi em sau 8 năm là 5 năm
=> tuổi e sau 8 năm là 4 . 5 = 20 tuổi cũng chính là tuổi của anh hiện tại
Vạy tuổi anh hiện tại là 20 tuổi
Tuổi em hiện tại là 20 - 8 = 12 tuổi
Tuổi em 8 năm nữa hơn tuổi anh cách đây 5 năm là 5 tuổi.
Ta có sơ đồ:
Tuổi anh cách 5 năm: |-----|-----|-----| {5 tuổi}
Tuổi em sau 8 năm: |-----|-----|-----|-----|
Tuổi anh cách đây 5 năm là:
5 : (4 - 3) . 3 = 15 (tuổi)
Tuổi anh hiện nay là:
15 + 5 = 20 (tuổi)
Tuổi em hiện nay là:
20 - 8 = 12 (tuổi)
Đáp số: tuổi anh: 20 tuổi; tuổi em: 12 tuổi
Bạn nên viết lại đề một cách rõ ràng để mọi người hiểu đề và hỗ trợ tốt hơn bạn nhé.
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Ta có : \(\frac{6}{11}x=\frac{9}{2}y\)=> \(\frac{12x}{22}=\frac{99y}{22}\)=> 12x = 99y => 4x = 33y => \(\frac{x}{33}=\frac{y}{4}\)
\(\frac{9}{2}y=\frac{15}{5}z\)=> \(\frac{45y}{10}=\frac{30z}{10}\)=> 45y = 30z => 3y = 2z => \(\frac{y}{2}=\frac{z}{3}\)
=> \(\frac{x}{33}=\frac{y}{4};\frac{y}{2}=\frac{z}{3}\)
=> \(\frac{x}{66}=\frac{y}{4};\frac{y}{4}=\frac{z}{12}\)
=> \(\frac{x}{66}=\frac{y}{4}=\frac{z}{12}\)và y - x + z = -120
Áp dụng t/c dãy tỉ số bằng nhau ta có :
\(\frac{x}{66}=\frac{y}{4}=\frac{z}{12}=\frac{y-x+z}{4-66+12}=\frac{-120}{-50}=\frac{12}{5}\)
=> \(\hept{\begin{cases}\frac{x}{66}=\frac{12}{5}\\\frac{y}{4}=\frac{12}{5}\\\frac{z}{12}=\frac{12}{5}\end{cases}}\)=> \(\hept{\begin{cases}x=\frac{792}{5}\\y=\frac{48}{5}\\z=\frac{144}{5}\end{cases}}\)
Gọi số hữu tỉ âm là x, ta có x ≠ 0. Số nghịch đảo của x là \(\frac{1}{x}\)
Vì x.\(\frac{1}{x}\)=1>0nên x và \(\frac{1}{x}\)cùng dấu, mà x < 0 nên \(\frac{1}{x}\) < 0.
7292018 = (93)2018 = 96054 < 106054
Ta có: 106054 có 6055 chữ số (1 chữ số 1 và 6054 chữ số 0)
=> 7292018 có ít hơn 6055 chữ số
cảm ơn bạn nhiều nhé!