Answer: (1, 6) and (12, 72)
Step-by-step explanation:
Answer:
3125*k^9 + y^3 is an integer my closure property.
but 5^(1/3) is not an integer, which forces z to be irrational.
Note that there is no way an integer value can rationalize 5^(1/3)
Step-by-step explanation:
x^3 = 25z^3 - 5y^3
x^3 = 5 ( 5z^3 - y^3)
x = (5 ( 5z^3 - y^3) )^(1/3) must be an integer
= 5^(1/3) * (5z^3 - y^3)^(1/3)
Then (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k
5z^3 - y^3 = 15625*k^9
5z^3 = 15625*k^9 + y^3
z^3 = 3125*k^9 + (1/5)*y^3
z = ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)
Answer:
D 1/4
Step-by-step explanation:
Answer:
n = 2 and a = - 4
Step-by-step explanation:
(1)
- 4n - 8 = 4(- 3n + 2) ← distribute parenthesis
- 4n - 8 = - 12n + 8 ( add 12n to both sides )
8n - 8 = 8 ( add 8 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
(2)
a - 15 = 4a - 3 ( subtract a from both sides )
- 15 = 3a - 3 ( add 3 to both sides )
- 12 = 3a ( divide both sides by 3 )
- 4 = a
The answer is B. 10 9/12 + 2 1/12= 12 10/12. 12÷2=6 10÷2=5 making the answer 12 5/6
