How many integer-valued solutions are there to each of the following equations and inequalities?a) x1 + x2 + x3 + x4 + x5 = 63, all xi > 0.b) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0.c) x1 + x2 + x3 + x4 + x5 ≤ 63, all xi ≥ 0.d) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≥ 10.e) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≤ 9.

Taking algebra two apex courses and need with these questions

1. which of the following algebraic equations is equivalent to ? x^n = a a^n = x a^x = n x^a = n 2. 16^1/4= 1/2 2 4 3. (-36)^1/2= -6 1/6 no real number 4. 8^2/3= 4 8 16√2 )^5/2= 7,776 1/7,776 no real number 6. m ^ the square root of a^2m simplified is: 7. the square root of 3^3 times the square root of 2 simplified and in radical form is:

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x