Find the equilibrium point for the given demand and supply functions

1.)Find the equilibrium point for the given demand and supply functions.

D(p) = (p - 64)2

S(p) = p2 + 3p + 2524

2.) Consider the following table.

	°C	°F
water freezes	0	32
water boils	100	212

(a) A linear relationship exists between Celsius(C) and Farenheit(F) temperatures. Using points of the form (F,C), find the linear equation solved for C (in terms of F).

(b) Now, using the linear equation that you just determined, find the Celsius equivalent of 50.5°F

The Celsius temperature equivalent of 50.5°Fis,

3.) Solve for x.

4x - 4 14x - 11

4.) Find the x-intercepts of the parabola using the quadratic formula.

y = 7x2 + 4x - 3

5.) Find the equation of the line with slope -23 that contains the point (37, -108).

6.) Consider the function below.

f(x) = 7x2 + 5x– 1

Find the following.

7.) Simplify the following as much as possible.

(-8x4y-9z-9)5

Give your answer using the form AxByCzD.

8.) Simplify the following as much as possible.

Give your answer using the form AtB.

9.) After a 3% increase, the population of a city is 741000. What was the former population? (Remember: Do not use commas in your answer!)

10.) Find the vertex of the given parabola. Give all values correct to 3 decimal places.

y = 6x2 - 6x + 7

11.) Find the slope and y-intercept.

2x + 7y + 5 = 0

12.) Multiply and simplify as much as possible.

(4x + 2) (x - 9).

Give your answer using the form Ax2 + Bx + C.

13.) Solve for x.

x + 0.07x = 131

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