Solve the problem. determine which of the following sets is a subspace of pn for an appropriate value of n. a: all polynomials of the form p(t) = a + bt2, where a and b are in ℛ b: all polynomials of degree exactly 4, with real coefficients c: all polynomials of degree at most 4, with positive coefficients

Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

How can you tell when x and y are not directly proportional?