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Defining functions and calculating circles

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Six Questions Show Work

1. 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?

2. Find the center and radius of the circle given by:
(x + 2)2 + y2 = 36.

3. Find a slope-intercept equation for a line with slope 3 which passes through the point (1, -2).

4. 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) }

5. Find the zero of the function f(x) = 3x + 9

6. The formula can be used to convert Fahrenheit temperatures F to Celsius temperatures C. For what Fahrenheit temperatures is the Celsius temperature lower than 450 C?

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The following posting helps define functions and calculates circles.

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1. 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?

Solution:

We shall solve this problem by using unitary method.

Thus, Colorado has approximately 7 representatives.

2. Find the center and radius of the circle given by: ...

Solution provided by:
Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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