Let U = {all integers}.

Consider the following sets:

A = {x | x ∈ U and x > 3}

B = {x | x ∈ U and x is an even integer}

C = {x | x ∈ U and 2x is an odd integer}

D = {x | x ∈ U and x is an odd integer}

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

Answer asap! show all work! find the number of complex roots, the possible number of real roots and the possible rational roots of the polynomial function. then, solve for all roots. x^3 + 2x^2 + 3x + 6 = 0

Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10