Solve the problem.The price p and x, the quantity of a certain product sold, obey the demand equation p = -
x + 100, {x|0 ? x ? 1000}a) Express the revenue R as a function of x.b) What is the revenue if 450 units are sold?c) Graph the revenue function using a graphing utility.d) What quantity x maximizes revenue? What is the maximum revenue?e) What price should the company charge to maximize revenue?
What will be an ideal response?
a. | R(x) = - ![]() |
c.

d. | 500; $25,000.00 |
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Divide the first polynomial by the second and state the quotient and the remainder.3x5 + 4x4 + 2x2 - 1, x + 2
A. Quotient: 3x4 - 2x3 + 4x2 + 6; remainder: -13 B. Quotient: 3x4 + 2x3 + 4x2 + 8x; remainder: -15 C. Quotient: 3x4 - 2x3 + 6x2 - 12; remainder: 23 D. Quotient: 3x4 - 2x3 + 4x2 - 6x + 12; remainder: -25
Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the x-axis at each zero.f(x) = 5(x + 2)(x - 3)2
A. -2, multiplicity 1, touches x-axis; 3, multiplicity 2, crosses x-axis B. 2, multiplicity 1, touches x-axis; -3, multiplicity 2, crosses x-axis C. -2, multiplicity 1, crosses x-axis; 3, multiplicity 2, touches x-axis D. 2, multiplicity 1, crosses x-axis; -3, multiplicity 2, touches x-axis
Determine whether the equation defines y as a function of x.x + y = 9
A. y is a function of x B. y is not a function of x
Write an equivalent expression with negative exponents.
A. -20y-4
B. -
C.
D. 5y-4