Which value of x will satisfy the given inequality,
2(x - 4) ≥ 3x - 5 ?
A
x ≥ 3
B
x ≤ - 8
C
x ≥ - 4
D
x ≤ -3
উত্তরের বিবরণ
Question: Which value of x will satisfy the given inequality,
2(x - 4) ≥ 3x - 5 ?
Solution:
Given,
2(x - 4) ≥ 3x - 5
⇒ 2x - 8 ≥ 3x - 5
⇒ 2x - 3x ≥ -5 + 8
⇒ - x ≥ 3
⇒ x ≤ - 3 [ Multiplying both sides of an inequality by a negative number reverses the inequality sign ]
0
Updated: 1 month ago
If a + b + c = 6 and a2 + b2 + c2 = 14 find the value of (ab + bc + ca).
Created: 1 month ago
A
11
B
14
C
21
D
26
প্রশ্ন: If a + b + c = 6 and a2 + b2 + c2 = 14 find the value of (ab + bc + ca).
সমাধান:
দেওয়া আছে,
a + b + c = 6 এবং a2 + b2 + c2 = 14
আমরা জানি,
(a + b + c)2 = ( a2 + b2 + c2) + 2(ab + bc + ca)
বা, (6)2 =14 + 2(ab + bc + ca)
বা, 36 = 14 + 2(ab + bc + ca)
বা, 36 - 14 = 2(ab + bc + ca)
বা, 22 = 2(ab + bc + ca)
বা, ab + bc + ca = 22/2
বা, ab + bc + ca = 11
0
Updated: 1 month ago
What is the
ratio of one-fourth of 9/20 and three-fourths of the same number?
Created: 1 month ago
A
1 : 2
B
3 : 2
C
1 : 3
D
2 : 5
Question: What is the ratio of one-fourth of 9/20 and three-fourths of the same number?
Solution:
one-fourth of 9/20 is {(1/4) × (9/20)} = 9/80
three-fourth of 9/20 is {(3/4) × (9/20)} = 27/80
∴ ratio = 9/80 : 27/80 = 9 : 27 = 1 : 3
0
Updated: 2 weeks ago
(xa/xb)(a + b) (xb/xc)(b + c) (xc/xa)(c + a) এর মান কত?
Created: 2 months ago
A
0
B
1
C
- 1
D
1/2
প্রশ্ন: (xa/xb)(a + b) (xb/xc)(b + c) (xc/xa)(c + a) এর মান কত?
সমাধান:
0
Updated: 2 months ago
