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2. (1 pt) Find all values of a so that f(x)-1-2-4 has no real roots. Answer 3. (

ID: 3144607 • Letter: 2

Question

2. (1 pt) Find all values of a so that f(x)-1-2-4 has no real roots. Answer 3. (1 pt) For the following pair of supply and demand equations, where x represents the quantity demanded in units of a thousand and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price. p-60-2x2 and px+9x+30 Equilibrium quantity: Equilibrium price:, 4. (1 pt) Lynbrook West, an apartment complex has 100 two-bedroom units. The monthly proft realized from renting out x apartments is given by P(x)--10x2 +1760x-50,000 dollars. How man units should be rented out to maximize the monthly rental profit? What is the maximum monthly prof realizable? Number of units Maximum profit:

Explanation / Answer

(2) For no real roots, discriminant (D) must be less than zero.

D = b2-4ac is the discriminant.

D = (-2)2 - 4(a)(-4) => 4+16a

4+16a < 0

a < (-1/4) thus for all values of a less than -1/4, the roots of f(x) are not real.

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