Reference no: EM13807157
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.
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°C
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°F
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water freezes
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0
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32
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water boils
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100
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212
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(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.
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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