Assignment:
Q1. The number of representatives N that each state has varies directly as the number of people P living in the state. If New York, with 19,254,630 residents has 29 representatives, how many representatives does Colorado, with a population of 4,665,177, have?
Q2. Find the center and radius of the circle given by:
(x + 2)2 + y2 = 36.
Q3. Find a slope-intercept equation for a line with slope 3 which passes through the point (1, –2).
Q4. Determine whether the relation is a function.
a. {(3,1), (5, 3), (7, 7), (3, 5)}
b. {(2, 7), (-2, -7), (7, -2), (0, 2), (1, -4) }
Q5. Find the zero of the function f(x) = 3x + 9
Q6. The formula C =5/9 (F - 32) can be used to convert Fahrenheit temperatures F to Celsius temperatures C. For what Fahrenheit temperatures is the Celsius temperature lower than 450 C?
Provide complete and step by step solution for the question and show calculations and use formulas.