Reference no: EM13122033
1. The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
2. Find the inverse of the function f(x) = x1/3 + 2.
3. If a piece of real estate purchased for $50,000 in 1998 appreciates at the rate of 5% per year, then its value t years after the purchase will be f (t) = 50,000(1.05t ) . According to this model, by how much will the value of this piece of property increase between the years 2007 and 2008?
4. Solve loga (7x +1) = loga (4x +16).
5. Find the domain of f (x) = 7 + 3x + 21 , and express it using interval notation.
6. If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
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Determining prime numbers and perfect square
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Find probability that fruit will weigh between a range
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What is the approximate probability that the blood test
: What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
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: Explain what synthetic division is. Illustrate with example. In synthetic division, what relationship does the divisor and remainder have to the original polynomial function, according to the Remainder Theorem?
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Polynomials with real and complex solutions
: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
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Little toot by hardie gramatky
: Write a 1,050- to 1,400-word paper discussing a well-known children's book Little Toot By Hardie Gramatky. Discuss how theoretical models of childhood may be applied to children's literature.
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Determining number game problem
: Take any number, square it, and add 6, multiply by the original number. Now add 5 to that. Now divide this by the original number plus 1. Now subtract your original number and you should get 5.
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How would you diagnose a catalase deficiency
: People with Takahara's disease don't produce catalase. Although often asymptomatic, this condition can lead to recurrent oral infections by peroxide-generating bacteria. How would you diagnose a catalase deficiency?
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How many milliliters of sulphuric acid is needed
: How many milliliters (mL) of a 1.28 M sulfuric acid solution are needed to neutralize 60.2 mL of a 0.427M sodium hydroxide solution.
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