Answer:
15
Step-by-step explanation:
the pattern is adding by three so 12+3=15
Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0
Divide both sides by 2:
x^2 - 2 x - 3/2 = 0
Add 3/2 to both sides:
x^2 - 2 x = 3/2
Add 1 to both sides:
x^2 - 2 x + 1 = 5/2
Write the left hand side as a square:
(x - 1)^2 = 5/2
Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
Answer:
6
Step-by-step explanation:
Because ⅔ goes into 3 ⅓ 6 times.
Answer:
x= 15
Step-by-step explanation:
4x+15=75
4x = 60
x = 15
Answer:
(a) 1416
(b) 2 × 2 × 2 × 3 × 59
Step-by-step explanation:
The prime numbers between 0 and 10 are 2, 3, 5,7 (1 is not considered prime)
Therefore m = 2357
The square numbers between 0 and 10 are 1, 4, 9 and in descending order 9,4.1so n = 941
m - n = 2357 - 941 = 1416
Unique prime factors of 1416 are 2,3,59
1416 as a product of prime factors = 2 × 2 × 2 × 3 × 59