Let C[1; 1] be the vector space of all continuous functions over the interval 1 x 1. Let (f; g) be the inner product on C[1; 1] given by (f; g) = Z 1 1 f(x)g(x) dx: Find the cubic polynomial x3 + ax2 + bx + c that is orthogonal to 1; x and x2 1 3 in C[1; 1] under the inner product (f; g) dened above.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Julian wrote the following numeric pattern on the board3,10,17,24,31,38.what numbers of julian's pattern are compound numbers.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem