ai giải nhanh dùm mk vs a
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A = 1 - 2 + 3 - 4 +...+ 43 - 44 + 45
=> A = (1 - 2) + (3 - 4) +....+ (43 - 44) + 45
=> A = -1 + (-1) +....+ (-1) + 45
=> A = (-1).22 + 45
=> A = -22 + 45
=> A = 23
20 vì :
Khi - cộng thì 2 số có cùng một tích
Vậy thì ra thôi
b) ( x + 1 ) + ( x +2 ) + ( x + 3 ) + ..... + ( x + 99 ) =6130
( x + x + ... + x ) + ( 1 + 2 + 3 +... + 99 ) =6130
99 × x + 4950 =6130
99 × x = 6130 - 4950
99 × x = 1175
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
\(\left(x+1\right)\left(x+3\right)=\left(0,5x+2\right)\left(2x+1\right)\)
\(x^2+4x+3=x^2+4,5x+2\)
\(x^2-x^2+4x-4,5x-2+3=0\)
\(1-0,5x=0\)
\(x=2\)
\(4x-x^2-5< 0\)
\(=\left(-x^2-4x\right)-5=-\left(x^2-2x.2+4-4\right)-5=-\left(x-2\right)^2+4-5\)
\(=-\left(x^2-2x\right)-1\)
Vì \(-\left(x^2-2x\right)\le0\)với mọi x nên \(-\left(x-2\right)^2-1< 0\)với mọi x
Vậy \(4x-x^2-5< 0\)với mọi x ( đpcm )
4x - x2 - 5 < 0 \(\forall\)x
Ta có : 4x - x2 - 5
= -x2 + 4x - 5
= - ( x2 - 4x + 5 )
= - ( x2 - 2.x.2 + 22 - 1 )
= - [( x - 2 )2 - 1 ]
Vì - ( x - 2 ) \(\le\)0 \(\forall\)x
\(\Leftrightarrow\)- ( x - 2 ) - 1 \(\le\)0 \(\forall\)x
Vậy .....
Gọi (2n+5,6n+11)=d(d\(\inℕ^∗\))
\(\Rightarrow\)2n+5\(⋮\)d
6n+11\(⋮\)d
\(\Rightarrow\)12n+30\(⋮\)d
12n+22\(⋮\)d
\(\Rightarrow\)(12n+30-12n-22)\(⋮\)d
\(\Rightarrow\)8\(⋮\)d
\(\Rightarrow\)d\(\in\)Ư(8)={1,2,4,8}
Mà ta thấy 2n+5 và 6n+11 là hai số lẻ nên ƯCLN(2n+5,6n+11)=lẻ
\(\Rightarrow\)d=lẻ=1
Vậy 2n+5 và 6n+11 nguyên tố cùng nhau (đfcm)
Gọi (2n + 5 , 6n + 11) = d (d thuộc N*)
=> 2n + 5 \(⋮\)d
6n + 11 \(⋮\)d
=> 3(2n + 5) \(⋮\)d
6n + 11 \(⋮\)d
=> 6n + 15 \(⋮\)d
6n + 11 \(⋮\)d
=> (6n + 15) - (6n + 11) \(⋮\)d
=> 6n + 15 - 6n - 11 \(⋮\)d
=> 15 - 11 \(⋮\)d
=> 4 \(⋮\)d
=> d \(\in\) Ư(4)
Mà ta thấy 2n + 5 và 6n + 11 là số lẻ
Vậy d \(\in\) Ư(4) là số lẻ
Mà Ư(4) là số lẻ là {1} => d = 1
Vậy (2n + 5 , 6n + 11) = 1 hay 2n + 5 và 6n + 11 là 2 số nguyên tố cùng nhau
1 were
2 was
3 Were
4 was
5 was
6 was
7 was
B
1 John could play the piano when he was 6
2 My brother could draw beautiful picture when he was seven
3 We could speak 2 foreign languages when we were 18
4 She could dance when she was 8
5 Tiger Woods could play goft when he was 3
C
2 Could you write you name when you were 3
3 Could you read when you were 2
4 Could you count from 1 to 10 when you were 2
5 Could you talk when you were 3
6 Could you ride a bike when you were 6
7 Could you swim when you were 5
A.
1. were
2. was
3. weren't
4. was
5. was
6. was
7. wasn't
B.
2. John could play the piano when he was six.
3. My brother could draw beautiful pictures when he was seven.
4. We could speak two foreign languages when we were eighteen.
5. She could dance when she was eight.
6. Tiger Woods could play golf when he was three.
C.
2. Could you write your name when you were three?
3. Could you read when you were two?
4. Could you count from one to ten when you were two?
5. Could you talk when your were three?
6. Could you ride a bike when you were six?
7. Could you swim when you were five?
Do đa thức A(x) có nghiệm là -3
\(\Leftrightarrow A\left(-3\right)=0\)
\(\Leftrightarrow a.\left(-3\right)^2+2.\left(-3\right)-3=0\)
\(\Leftrightarrow9a-9=0\)
\(\Leftrightarrow a=1\)
bạn đăng tách ra nhé
a, \(x-\dfrac{3}{7}=\dfrac{1}{8}\Leftrightarrow x=\dfrac{1}{8}+\dfrac{3}{7}=\dfrac{31}{56}\)
b, \(-2x=\dfrac{1}{6}+\dfrac{3}{5}=\dfrac{23}{30}\Leftrightarrow x=\dfrac{23}{30}:\left(-2\right)=-\dfrac{23}{-60}\)
c, \(\left|2x-3\right|=\dfrac{1}{6}-\dfrac{1}{2}=\dfrac{-1}{3}\)( vô lí )
.