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Algebra
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10 Nov 2019


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Nestor Rutherford
Nestor RutherfordLv2
31 May 2019
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Related questions


15. Solve the equation by using the quadratic formula. (Enteryour answers as a comma-separated list.)

x2 ? 4x ? 4 = 0

(a) Give exact real answers.
x =
(b) Give answers rounded to two decimal places.
x =

16. Use any method to find the exact real solution, if itexists. (Enter your answers as a comma-separated list. If there isno solution, enter NO SOLUTION.)

(w^2/6) - (w/3) - 4 =0

w=

17. Solve using quadratic methods. (Enter your answers as acomma-separated list.)

(x + 5)2 + 5(x + 5) + 4 = 0

x =

18. Consider the following equation.

y = (-1/22)x^2 +x

(a) Find the vertex of the graph of the equation.
(x , y) = ( )
(b) Determine if the vertex is a maximum or minimum point.

(c) Determine what value of x gives the optimal valueof the function.
x =

(d) Determine the optimal (maximum or minimum) value of thefunction.
y =

20. The daily profit from the sale of a product is given byP = 14x ? 0.1x2 ? 50 dollars,where x is the number of units of production.

(a) What level of production maximizes profit?
units

(b) What is the maximum possible profit?
$

21. If the supply function for a commodity is p =q2 + 14q + 49 and the demand functionis p = รขย€ย“11q2 + 92q + 469,find the equilibrium quantity and equilibrium price.
(q, p) = ( )

22. The supply and demand for a product are given by 2p? q = 80 and pq = 100 + 35q,respectively. Find the market equilibrium point.
(q, p) = ( )

23. The total costs and total revenues for a company arerepresented by the equations shown below, where xrepresents the number of production units. Find the break-evenpoints. (Enter your answers as a comma-separated list.)

C(x) = 2100 + 20x +x2
R(x) = 120x

x = units

24. If, in a monopoly market, the demand for a product isp = 130 ? 0.40x and the revenue function isR = px, where x is the number of unitssold, what price will maximize revenue? (Round your answer to thenearest cent.)
$

28.

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