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Let K be a perfect field and F an algebraic extension of K. If F is not perfect, then there is a polynomial f(x) an element of F[x].
Very rarely do people use algebra in their jobs or their lives. At most, people use arithmetic.
The ball must clear the uprights for the field goal to count. The uprights are approximately 5m high. How long does the ball stay above 5m in height?
Let (A, *) be an algebraic structure, and suppose that A is associative, has an identity, e, and that a ? A has an inverse.
Janet drove 120 miles at x mph before 6:00 a.m. After 6:00 a.m., she increased her speed by 5 mph and drove 195 additional miles.
Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge.
If G is a group, the centre of G , Z is defined by Z = {z ? G|zx = xz, all x ? G}. Prove that Z is a subgroup of G.
If a G define N(a) = {x G | xa = ax}. Show that N(a) is a subgroup of G. N(a) is usually called the Normalizer or Centralizer of a in G.
If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width).
The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.
A subgroup N of G is a normal subgroup of G if and only if the product of two right cosets of N in G is again a right coset of N in G.
Select the point which is in the feasible region of the system of inequalities. Provide complete and step by step solution.
The minimum value of z = 5x + 15y, subject to
Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e
People are classified as poor on the basis of their current money income. Should the following items also be taken into account?
Use a number line to order the integers from least to greatest. Write the expressions with only positive exponents.
Assume that Joe take 6 hours working alone and Sam takes 8 hours working alone, how long does it take the, to do it together?
Years of stress from his BLA students have reduced the number of hair on Mr. Sit's head to 7560 strands.
In 1990, a price index based on 1980 = 100 had a value of z. During 1990, it was rebased at 1990 = 100, and in 1998 the new index stood at 112.
Solving rational equations, this is a intermediate algebra problem. Provide complete and step by step solution for the question.
A mother is four times as old as her duaghter. IN 20 years, she will be twice as old as her daughter. How old are mother and duaghter now?
A company that manufactures hospital beds has fixed monthly costs of $225,000. The average cost per bed, C, for the company to manufacture.
If an account has an annual yield of 5% compounded quarterly, how long before the account triples?
Solve the equation by any means. Find the exact solutions when possible and approximate ones otherwise.