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What is subsets and proper subsets?
A set "A" is said to be a subset of "B" if all elements of set "A" are also elements of set "B".Set "A" is said to be a proper subset of set "B" if: * A is a subset of B, and * A is not identical to B In other words, set "B" would have at least one element that is not an element of set "A". Examples: {1, 2} is a subset of {1, 2}. It is not a proper subset. {1, 3} is a subset of {1, 2, 3}. It is also a proper subset.
When f varies jointly as a and t and inversely as the square of b what is the answer when determining f when k equals 3 a equals 4 t equals 6 and b equals 2?
I am assuming that k is the constant of proportionality so that f = k*a*t/b2 = 3*4*6/22 = 18
Transpose a-t divided by b-t equals c so that t is the subject?
(a - t)/(b - t) = c => a - t = c(b - t) = cb - ct = bc - tc => tc - t = bc - a => t(c - 1) = bc - a => t = (bc - a)/(c - 1)
What is the answer to 22 equals 4 plus 3t?
4+3t = 22 3t = 22-4 t = (22-4)/3 t = 6
What numbers have a sum of 13 and a product of 22?
Let the two numbers be a & b. Then ab = 22 therefore b = 22/a And, a + b = 13 . . . after substituting for b this becomes a + (22/a) = 13 . . . multiply throughout by a. a2 + 22 = 13a a2 - 13a + 22 = 0 . . . this can be factored (a - 2)(a - 11) = 0 . . .thus a = 2 or 11 and so b = 11 or 2. The two numbers are 2 and 11.
