.cíu mình với mn
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DT
Đỗ Thanh Hải
CTVVIP
15 tháng 10 2021
1 lived
2 wasn't hearing - was thinking
3 walked - was
4 were you doing - phoned
5 was reading - heard
6 was walking - saw
7 had watched - wrote
8 met
9 had you done - moved
10 was - didn't attend
II
1 when we were having lunch
2 had read the instruction, I started the machine
3 went out for a rest, we had finished our assignment
4 she left, it was raining
5 learning English
6 to help me
7 the man to open the briefcase
8 my friend break the bottle
9 him fall off the bike
10 a foreign language in a short time is not easy
Cíu mình dới mn ơi huhu
16 tháng 6 2023
\(=\dfrac{35\cdot0.1\cdot154\cdot243\cdot50}{35\cdot154\cdot0.1\cdot121.5\cdot100}\)
\(=\dfrac{243}{121.5}\cdot\dfrac{1}{2}=1\)
ND
2
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
9 tháng 1
(-5)3.\(x^2\) = - 1125
\(x^2\) = (-1125) : (-53)
\(x^2\) = 9
\(\left[{}\begin{matrix}x=-3\\x=3\end{matrix}\right.\)
Vậy \(x\) \(\in\) {-3; 3}
LP
3
P
21 tháng 12 2023
2x+1 là ước của 3x+2
⇔3x+2 ⋮ 2x+1
⇒2(3x+2) ⋮ 2x+1
⇔6x+4 ⋮ 2x+1
⇔(2x+1)+(2x+1)+(2x+1)+1 ⋮ 2x+1
Để 3x+2 ⋮ 2x+1 thì 2x+1 ∈ Ư(1)
Ta có:
Ư(1)={±1}
⇒2x+1∈{±1}
⇒x∈{0;-1}
Vậy x={0;-1)
Cíu mình với=(((
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
8 tháng 12 2023
a, \(\dfrac{15}{4}\) - 2,5 : |\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3
3,75 - 2,5:|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3
2,5:|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3,75 - 3
2,5 : |\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 0,75
|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 2,5 : 0,75
|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = \(\dfrac{10}{3}\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x+\dfrac{1}{2}=-\dfrac{10}{3}\\\dfrac{3}{4}x+\dfrac{1}{2}=\dfrac{10}{3}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=-\dfrac{10}{3}-\dfrac{1}{2}\\\dfrac{3}{4}x=\dfrac{10}{3}-\dfrac{1}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=-\dfrac{26}{3}\\\dfrac{3}{4}x=\dfrac{17}{6}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{46}{9}\\x=\dfrac{34}{9}\end{matrix}\right.\)
AH
Akai Haruma
Giáo viên
25 tháng 10 2021
a. Ta có: $\sin x\in [-1;1]$ nên $|\sin x|\in [0;1]$
$\Rightarrow 1\leq 3-2|\sin x|\leq 3$
Vậy $y_{\min}=1; y_{\max}=3$
b.
$y=\frac{1-\cos 2x}{2}-\frac{3}{2}\sin 2x+1$
$2y=3-\cos 2x-3\sin 2x$
$3-2y=\cos 2x+3\sin x$
Áp dụng định lý Bunhiacopxky:
$(3-2y)^2\leq (\cos ^22x+\sin ^22x)(1+3^2)=10$
$\Rightarrow -\sqrt{10}\leq 3-2y\leq \sqrt{10}$
$\Rightarrow \frac{3-\sqrt{10}}{2}\leq y\leq \frac{3+\sqrt{10}}{2}$
Vậy $y_{\max}=\frac{1+\sqrt{10}}{2}; y_{\min}=\frac{1-\sqrt{10}}{2}$
AH
Akai Haruma
Giáo viên
25 tháng 10 2021
c.
\(y=\sqrt{5-\frac{1}{4}(2\sin x\cos x)^2}=\sqrt{5-\frac{1}{2}\sin ^22x}\)
Vì $\sin 2x\in [-1;1]$
$\Rightarrow \sin ^22x\in [0;1]$
$\Rightarrow \frac{3\sqrt{2}}{2}\leq \sqrt{5-\frac{1}{2}\sin ^22x}\leq \sqrt{5}$
d.
$\cos (x+\frac{\pi}{3})\in [-1;1]$
$\Rightarrow 2(-1)+3\leq 2\cos (x+\frac{\pi}{3})+3\leq 2.1+3$
$\Rightarrow 1\leq y\leq 5$
$\Rightarrow y_{\min}=1; y_{\max}=5$
1 D