2. Two consecutive coefficients in the expansion of (1 + x)^n are 91 and 364. Prove that if they are the coefficients of the terms in x^r and x^(r+1), respectively, then n = 5r+ 4.

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

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

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)