-7/-9 is equivalent to -14/-18. Multiply the denominator and numerator by the same number(I used 2)
Answer:
The remainder is 2.
Step-by-step explanation:
Use modular arithmetic.
If the remainder is x then 8^33 mod 6 = x.
8^3 = 512 = 2 mod 6
8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6
8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6
= 4 mod 6.
Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6
= 8 mod 6 = 2.
Answer:
a) 5, 6
b) 8, 9
c) 9, 10
Step-by-step explanation:
It is useful to know the squares of small integers:
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Then the problem becomes one of identifying the perfect squares the given number lies between
a) 25 < 35 < 36 ⇒ 5 < √35 < 6
b) 64 < 67 < 81 ⇒ 8 < √67 < 9
c) 81 < 93 < 100 ⇒ 9 < √93 < 10
Answer:
x>1 the bottom graph
Step-by-step explanation:
(18x - 9 > 9) and (2x - 4 > -10)
Do the first inequality first
18x - 9 >9
Add 9 to each side
18x - 9+9 > 9+9
18x> 18
Divide each side by 18
18x/18 > 18/18
x >1
Then the second inequality
(2x - 4 > -10)
Add 4 to each side
2x-4+4>-10+4
2x>-6
Divide each side by 2
2x/2 >-6/2
x>-3
Since this is an and
x>1 and x>-3
We take the more restrictive
x>1
Answer:
i don knwo
Step-by-step explanation:
but thanks for the points lol
