11
perimeter equals 2 times width plus 2 times length so, perimeter equals 2(3n+2)+2(n-1) = 6n+6+2n-2 = 8n+4.
Sn = -8n + 2S0 = -8(0) + 2 = 2S1 = -8(1) + 2 = -6S2 = -8(2) + 2 = -14S3 = -8(3) + 2 = -22S4 = -8(4) + 2 = -30S5 = -8(5) + 2 = -38
4(x + 1)(x + 1)
(x + 4)(x + 1) x = -1 or -4
7n - 2 + 3n + 4 = 7n + 3n - 2 + 4 = 10n + 2 which can be simplified to 2(5n +1)
Gather like terms. The - 2 and 4; the 7n and 3n. 7n - 2 + 3n + 4 = 10n + 2
10n = 7n + 4 + 2n so 10n = 9n + 4 Subtract 9n from both sides: n = 4
n = 1 7n + 6n - 5 = 4n + 4 13n - 5 = 4n + 4 13n - 4n - 5 = 4n - 4n + 4 9n - 5 = 4 9n -5 + 5 = 4 + 5 9n = 9 n = 1
3n2-8n+4 = (3n-2)(n-2) when factored
10n+2
n2 + 7n - 44 (n + 11)(n - 4)
7n+10
2 - 7n = 6therefore 7n = 2 - 6 = -4 and so n = -4/7 Then 5m + 7n = 6.4 becomes 5m - 4 = 6.4 so that 5m = 10.4 and then m = 10.4/5 = 2.08
It is a linear equation in one unknown variable, n. Its solution is n = 1
7n -1n,0n,1n,2n,3n,4n,5n,6n,7n 1 2 3 4 5 6 7 8 9
(7n - 4)(n + 3)