Bai 1 : tim x
14:(2×x+3)
12x-33=32×33
505:(x+35)=5
20-2(x+4)=4
Giup minh voi!!!
Bai 1 TINH
a) x ^2 . x -2x^3
b) 6 x^2y . 3xy - 2y^2.x +y
C) 4x^2 +5x -1 .2x^3 -3x
d)-8x^3y + 2y^4 . 3xy^3 - 2x^4 +7y^4
GIUP MINH NHÀ
Chứng minh rằng:
A = 1/3 + 1/32 + 1/33 + ..........+ 1/399 < 1/2
B = 3/12x 22 + 5/22 x 32 + 7/32 x 42 +............+ 19/92 x 102 < 1
C = 1/3 + 2/32 + 3/33 + 4/34 +.........+ 100/3100 ≤ 0
\(A=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{99}}\)
\(\Rightarrow\dfrac{A}{3}=\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\)
\(\Rightarrow A-\dfrac{A}{3}=\dfrac{2A}{3}=\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{99}}\right)-\left(\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\dfrac{2A}{3}=\left(\dfrac{1}{3^2}-\dfrac{1}{3^2}\right)+\left(\dfrac{1}{3^3}-\dfrac{1}{3^3}\right)+...+\left(\dfrac{1}{3^{99}}-\dfrac{1}{3^{99}}\right)+\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)=\dfrac{1}{3}-\dfrac{1}{3^{100}}\)
\(\Rightarrow2A=3\cdot\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\text{A}=\dfrac{1-\dfrac{1}{3^{99}}}{2}\)
\(\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{2.3^{99}}< \dfrac{1}{2}\)
Bai 1.Tim x:
x-{x-[x-(-x+1)]}=1
Bai 2. Tinh:
1+(-2)+3+(-4)+..............+2015
giup minh voi!!!
Bài 2 : 1 + ( -2 ) + 3 + ( -4 ) + ... + 2015
= [ 1 + ( -2 ) ] + [ 3 + ( -4 ) ] + ... + 2015
= -1 + -1 + ... + 2015
Có số các cặp số bằng ( -1 ) là :
2014 : 2 = 1007 ( cặp )
= -1007 + 2015
= 1008
bai 1:tim x
a,48:(7x-15)=8
b,100-3(5-x)=73
c,[(x+32)-17]*2+8=50
giup minh voi !!!!
a,48:(7x-15)=8
7x-15=6
7x=21
x=3
b,100-3(5-x)=73
3(5-x)=27
5-x=9
x=-4
c,[(x+32)-17]*2+8=50
[(x+32)-17]*2=42
(x+32)-17=21
x+32=38
x=6
a)48:(7x-15)=8
(7x-15)=48:8
(7x-15)=6
7x=6+15
7x=21
x=21:7
x=3
b)100-3(5-x)=73
3(5-x)=100-73
3(5-x)=27
5-x=27:3
5-x=9
x=5-9
x=-4
c)[(x+32)-17]x2+8=50
[(x+32)-17]x2=50+8=58
[(x+32)-17]=58:2
x+32 =29+17
x =46-32
x =14
bai 5 : tinh
a) tim x , biet (x+1) +(x+2 ) + ...+(x+100)=5750
b) chung minh rang B = 1/2^2 + 1/3^2 + 1/4^2 + ...+1/2021^2 < 1
giup mik luon voi
\(∘backwin\)
\(a ) ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 100 ) = 5750\)
\( ( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 100 ) = 5750 \)
\( 100 x + ( 1 + 100 ) ×100 : 2 = 5750\)
\(100 x + 5050 = 5750\)
\( 100 x = 5750 − 5050\)
\(100 x = 700\)
\(x = 700 : 100\)
\(x = 7\)
\(b,\) \(B=\)\(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{2021^2}< \dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{2020}+2021\)
\( B < 1 -\)\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2020}-\dfrac{1}{2021}\)
\(B<1-\)\(\dfrac{1}{2021}\)
\(B<\)\(\dfrac{2020}{2021}\)
\(\dfrac{2020}{2021}< 1\)
\(B<1\)
a) (x+1) +(x+2 ) + ...+(x+100)=5750
= 100x + (1+2+3+...+100) = 5750
=100x + 5050 = 5750
--> 100x = 5750-5050=700
--> x=7
b) Ta thấy: 1/2^2 < 1/2.3
1/3^2 < 1/3.4
...
1/2021^2 < 1/2021.2022
--> B=1/2^2 + 1/3^2 + 1/4^2 + ...+ 1/2021^2 < 1/2.3 + 1/3.4 + ... +1/2021.2022 (1)
Ta có: 1/2.3 + 1/3.4 + ... +1/2021.2022
=1/2 - 1/3 + 1/3 - 1/4 + ... + 1/2021 - 1/2022
=1/2 - 1/2022 < 1 (2)
Từ (1) và (2) --> B<1 (đpcm)
<
Bai 1
Thuc hien phep tinh
a,(135-35) .(-47)+53 .(-48-52)
b,25 .(75-49)+75 .|25-49|
Bai 2
Tim x\(\varepsilon\)Z biet
a,(-x+31)-39=-69+11
b,x-{57-[42+(-23-x)]}=13-{47+[25-(32-x)]}
c,|2-x|+2=x
Giup minh voi
Tập ghi có dấu đi bạn ei
ghi như thế méo ai hiểu đâu
và......kết bạn nha!
>< :3 :))
a. ( 135 - 35 ) ( -47 ) + 53 ( -48 - 52 )
= 100 ( -47 ) + 53 ( -100 )
= -4700 + -5300
= -10000
b. 25 ( 75 - 49 ) + 75 | 25 - 49 |
= 25 . 26 + 75 | -24 |
= 650 + 75 . 24
= 650 + 1800
=2450
1.tim x:
a, 96-3(x+1)=42
b, 5(x+35)=515
c, 12x-33=3 mu 2 nhan 3 mu 3
a, 96-3(x+1)= 42
3(x+1) = 96-42
3(x+1) = 54
x+1 = 54:3
x+1= 18
x = 18-1
x = 17
b, 5(x+35) = 515
x+35 = 515:5
x+35 = 103
x = 103-35
x = 68
c, 12x-33=32.33
12x-33= 35
12x-33=243
12x=243+33
12x= 276
x = 276:12
x = 23
Bai 1: Tim so nguyen x biet:
x+(x+1)+(x+2)+...+35=0
Bai 2: Tim GTLN:
a) 8-(x+2)^2=E
b) -|x+2|+10=F
Bai 3: Tim x \(\in\)Z:
a)(2x-4)(x+4)<0
b)(x+5)(3x-12)>0
Bai 11: Cho:
S=1-2+3-4+5-6+...+19-20
a) S co\(⋮\)2; 3; 5 khong?
b) Tim tat ca cac uoc cua S
chi tiet gi minh nha
Tim x biet :
(x + 1) + (x + 2) + (x + 3 )+ ... + (x + 20) = 250
BAI NAY LA BAI SAO DO CAC BAN MINH KHONG BIET LAM CAC BAN GIUP MINH VOI
(x + 1) + (x + 2) + (x + 3 )+ ... + (x + 20) = 250 ( có 20 nhóm )
=> ( x + x + x +...+ x ) + ( 1 + 2 + 3 +...+ 20) = 250 ( có 20 x và 20 số hạng )
=> x . 20 + 20 . 21 : 2 = 250
=> x . 20 + 210 = 250
=> x . 20 = 250 - 210
=> x . 20 = 40
=> x = 40 : 20
x = 2
(x+1)+(x+2)+(x+3)+...+(x+20)=250
Dãy trên có 20 số hạng
20x+(1+2+3+...+20)=250
Tổng dãy 1+2+3+...+20 là
(20+1).20:2=210
20x+210=250
20x=250-210
20x=40
x=40:20
x=2
(x + 1) + (x + 2) + (x + 3 )+ ... + (x + 20) = 250
250 = ( 1 + 2 + 3 + ... + 20 ) + ( 20 x x )
250 = 210 + ( 20 x X )
X = ( 250 - 210 ) : 20
X = 2. k mình nha