5
-3n+5n+4 = -4 2n = -4-4 2n = -8 n = -4
3n+3=n+7 3n+3-n=n+7-n (subtract n from both sides) 2n+3=7 2n+3-3=7-3 (subtract 3 from both sides ) 2n=4 2n/2=4/2 (divided by 2 on both the sides) n=2 Answer: n=2
You cannot, because there is no solution.5 is not a factor of 144. Therefore 5 is not a factor of (3n + 9)! / (2n + 4)!Therefore (3n + 9) - (2n + 4) < 5n < 0.Also, 2n + 4 must be non-negative.ie 2n >= -4 or n >= -2.So the only possible values for n are -1 and -2.But n = -1 gives 6!/2! = 720/2 = 360while n = -2 gives 3!/0! = 6
The question seems ambigous, but I will consider n 2n to be solving for n:2n - 3n = n/3 + 14-n = n/3 + 14-3n = n + 42-4n = 42Thus, the solution is n = -42/4 = -21/2 = -10.5.
59
If the number has a remainder of 2 or 4 when divided by 6, it is an even number, so it is not prime number. 6n + 2 = 2 (3n + 1), so it is divisible by 2. 6n + 4 = 2 (3n + 2), so it is divisible by 2. If the number has a remainder of 3 when divided by 6, it is divisible by 3, so it is not a prime number. 6n + 3 = 3 (2n + 1), so it is divisible by 3. However, there are two prime numbers that do not have a remainder of 1 or 5 when divided by 6 : 2 and 3
-3n+5n+4 = -4 2n = -4-4 2n = -8 n = -4
3n+3=n+7 3n+3-n=n+7-n (subtract n from both sides) 2n+3=7 2n+3-3=7-3 (subtract 3 from both sides ) 2n=4 2n/2=4/2 (divided by 2 on both the sides) n=2 Answer: n=2
5n + 7 = 28 + 2n (-2n) 3n + 7 = 28 (-7) 3n = 21 therefore, n = 7
3n^4 divided by 3n^3 = n
It is a binomial, which is also a polynomial.
You cannot, because there is no solution.5 is not a factor of 144. Therefore 5 is not a factor of (3n + 9)! / (2n + 4)!Therefore (3n + 9) - (2n + 4) < 5n < 0.Also, 2n + 4 must be non-negative.ie 2n >= -4 or n >= -2.So the only possible values for n are -1 and -2.But n = -1 gives 6!/2! = 720/2 = 360while n = -2 gives 3!/0! = 6
The question seems ambigous, but I will consider n 2n to be solving for n:2n - 3n = n/3 + 14-n = n/3 + 14-3n = n + 42-4n = 42Thus, the solution is n = -42/4 = -21/2 = -10.5.
3n + 9 = 3(n + 3)
Let the number be N, then (3/4 of N) - 4 = (1/2 of N) or (3N/4) - 4= N/2 or 3N - 16 = 2N or 3N - 2N = 16 N = 16 Verification: When 4 is subtracted from 3/4 of 16 you get (12 - 4) = 8 which is equal to 1/2 of 16 which is 8 also
59
74 divided by 5 equals 14 with a remainder of 4