Use an inequality symbol to write the given statement symbolically.8x - 1 is greater than or equal to 18.
A. 8x - 1 ? 18
B. 8x - 1 = 18
C. 8x - 1 ? 18
D. 8x - 1 < 18
Answer: C
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An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 700 million dollars. The additional cost of manufacturing each plane can be modeled by the function where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars. The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell x(p) = 390 ? 5.8p.
Find the cost function.
Multiply the polynomials. Express the answer as a single polynomial in standard form.(w - r)2
A. w2 - wr + r2 B. w2 - 2wr + r2 C. w2 + 2wr + r2 D. w2 - 2wr - r2
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 5-x + 4
A. domain of f: (-?, ?); range of f:(5, ?)
horizontal asymptote: y = 5
B. domain of f: (-?, ?); range of f:(4, ?)
horizontal asymptote: y = 4
C. domain of f: (-?, ?); range of f:(4, ?)
horizontal asymptote: y = 4
D. domain of f: (-?, ?); range of f:(5, ?)
horizontal asymptote: y = 5
Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = x6 - 12x4 - 69x2 + 80; c = 4
A. No B. Yes; f(x) = (x - 4)(x5 + 4x4 - 4x3 + 20x2 - 5x - 20) C. Yes; f(x) = (x - 4)(x5 + 4x4 + 4x3 + 16x2 - 5x - 20) D. Yes; f(x) = (x - 4)(x5 - 5x4 + 5x3 + 16x2 - 5x - 20)