1. I'm sorry I was rude to you yesterday
I apologise.
2. Although his leg was broken he managed to get out of the car.
In spite
3. Nobody can deny that she has a beautiful voice
It.
4. She liked Paris very little, and Rome less
She thought Rome
5.After fighting the fire for twelve hours the firemen succeeded in putting it out
The firemen managed
6. She knows a lot more about it than I do
I don';t know
7. Although he had a good salary, he was unhappy in his job
In spite .
8.He prefer goft to tennis
He'd rather
9. The garden still needs digging
The garden hasn't
10. Susan felt sick, because he ate four cream cakes
If Susan
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\(\dfrac{1}{1-x}\)+\(\dfrac{1}{1+x}\)+\(\dfrac{2}{1+x^2}\)+\(\dfrac{4}{1+x^4}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=
=\(\dfrac{4}{1-x^4}\)+\(\dfrac{4}{1+x^4}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{8}{1-x^8}\)+\(\dfrac{8}{1+x^8}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{16}{1-x^{16}}\)+\(\dfrac{16}{1+x^{16}}\)
=\(\dfrac{32}{1-x^{32}}\)
a) Ta có I 2x - 1 I = 2015
=> 2x-1=2015 hoặc 2x-1=2015
+,Th1: 2x-1=2015
2x=2015+1
2x=2016
x=2016:2
x=1008
+,Th2: 2x-1=-2015
2x=-2015+1
2x=-2014
x=-2014:2
x=-1007
Vậy x=1008, x=-1007
|x-1|<5
th1: x-1<5=> x<6
th2: x-1<-5=> x<-4
vậy x <6 hoặc<-4
|x-1|>5 cũng tương tự như thế
còn mấy câu khác Nguyễn Diệu Thảo làm thế chắc bạn cũng biết cách làm rồi
L_I_K_E CHO MÌNH NHA!!!
a) Chương trình bị lỗi
b) Chương trình bị lỗi
c) Chương trình bị lỗi luôn
|7 + 5x| = 1 - 4x
=> \(\orbr{\begin{cases}7+5x=1-4x\left(đk:x\le\frac{1}{4}\right)\\7+5x=4x-1\left(đk:x\ge\frac{1}{4}\right)\end{cases}}\)
=> \(\orbr{\begin{cases}7-1=-4x-5x\\7+1=4x-5x\end{cases}}\)
=> \(\orbr{\begin{cases}6=-9x\\8=-x\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{2}{3}\left(tm\right)\\x=-8\left(ktm\right)\end{cases}}\)
|4x2 - 2x| + 1 = 2x
=> |4x2 - 2x| = 2x - 1
=> \(\orbr{\begin{cases}4x^2-2x=2x-1\left(đk:x\ge\frac{1}{2}\right)\\4x^2-2x=1-2x\left(đk:x\le\frac{1}{2}\right)\end{cases}}\)
=> \(\orbr{\begin{cases}4x^2-2x-2x+1=0\\4x^2-2x-1+2x=0\end{cases}}\)
=> \(\orbr{\begin{cases}\left(2x-1\right)^2=0\\4x^2-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}2x-1=0\\x^2=\frac{1}{4}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{1}{2}\\x=\pm\frac{1}{2}\end{cases}}\)(tm)
Vậy ...
#It's the moment when you're in good mood, you accidentally click back =.=
1) Calculate
\(P=1\frac{1}{3}.1\frac{1}{8}.1\frac{1}{15}....1\frac{1}{63}.1\frac{1}{80}\)
\(=\frac{4}{3}.\frac{9}{8}.\frac{16}{15}....\frac{64}{63}.\frac{81}{80}\)
\(=\frac{2.2}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}....\frac{8.8}{7.9}.\frac{9.9}{8.10}\)
\(=\frac{2.9}{10}=\frac{9}{5}\)
ta có: 10010 + 1 > 10010 - 1
⇒ A = \(\frac{100^{10}+1}{100^{10}-1}< \frac{100^{10}+1-2}{100^{10}-1-2}=\frac{100^{10}-1}{100^{10}-3}=B\)
vậy A < B
a) |2x +1| = 7
Th1: 2x + 1 = 7
<=> x = 3
Th2: 2x + 1 = -7
<=> x = -4
\(1)\) Ta có :
\(\left|2x-1\right|\ge0\)
\(\Leftrightarrow\)\(A=\left|2x-1\right|+8\ge8\)
Dấu "=" xảy ra \(\Leftrightarrow\)\(\left|2x-1\right|=0\)
\(\Leftrightarrow\)\(2x-1=0\)
\(\Leftrightarrow\)\(2x=1\)
\(\Leftrightarrow\)\(x=\frac{1}{2}\)
Vậy GTNN của \(A\) là \(8\) khi \(x=\frac{1}{2}\)
Chúc bạn học tốt ~
\(2)\) Ta có :
\(B=\left|x-3\right|+\left|x-9\right|-1\)
\(B=\left|x-3\right|+\left|9-x\right|-1\ge\left|x-3+9-x\right|-1=\left|6\right|-1=6-1=5\)
Dấu "=" xảy ra khi và chỉ khi \(\left(x-3\right)\left(9-x\right)\ge0\)
Trường hợp 1 :
\(\hept{\begin{cases}x-3\ge0\\9-x\ge0\end{cases}\Leftrightarrow\hept{\begin{cases}x\ge3\\x\le9\end{cases}\Leftrightarrow}3\le x\le9}\)
Trường hợp 2 :
\(\hept{\begin{cases}x-3\le0\\9-x\le0\end{cases}\Leftrightarrow\hept{\begin{cases}x\le3\\x\ge9\end{cases}}}\) ( loại )
Vậy GTNN của \(B\) là \(5\) khi \(3\le x\le9\)
Chúc bạn học tốt ~
1. I'm sorry I was rude to you yesterday
I apologise.for being rude to me the day before
2. Although his leg was broken he managed to get out of the car.
In spite of his broken leg, he managed to get out of the car
3. Nobody can deny that she has a beautiful voice
It.can't be denied that she has a beautiful voice
4. She liked Paris very little, and Rome less
She thought Rome is was even worse than Paris
5.After fighting the fire for twelve hours the firemen succeeded in putting it out
The firemen managed managed to put the fire out after fighting it for twelve hours.
6. She knows a lot more about it than I do
I don';t know as much as she does
7. Although he had a good salary, he was unhappy in his job
In spite . of having a good salary, he was unhappy in his job
8.He prefer goft to tennis
He'd rather golf than tennis
9. The garden still needs digging
The garden hasn't been dug yet
10. Susan felt sick, because he ate four cream cakes
If Susan hadn't eaten four cream cakes, she wouldn't have felt sick