k=-7
79 + k = 84 84 - 79 = k k = 5
Take 3k from both sides to get k-3 equals 4, so k is 7
7 = Swans a-swimming
13 = 7 + s(13 - 7) = (7-7) + s6 = s
Since r varies directly with s, we have r = ks (replace k with 5 and s with 7) r = (5)(7) r = 35
If P varies jointly as q, r and s - assume this is in direct proportion, then P ∝ qrs so P = kqrs where k is a constant.70 = k x 7 x 5 x 4 = 140k : k = 140/70 = 0.5When q = 2, r = 15 and s = 7 then,P = 0.5 x 2 x 15 x 7 = 105
7
k=-7
4k-7 = 7 4k = 14 k = 3.5 or k = 7/2
If P varies directly with q, r and s then P = kqrs, where k is a constant. As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2 The equation of joint variation is P = ½qrs.
5
2+2+7=11 K?
79 + k = 84 84 - 79 = k k = 5
If 'r' and 's' can be the same integer, then (1)3 = (1)2 , and k = 1 .If 'r' and 's' must be different integers, then (4)3 = (8)2 , and k = 64 .
k = f(n) = 7n
Take 3k from both sides to get k-3 equals 4, so k is 7