Provide an appropriate response.Suppose that a manufacturer will place 1000 units of a product on the market when the price is $10 per unit, and 1400 units when the price is $12 per unit. Find the supply equation for the product assuming the price p and quantity q are linearly related.

Fill in the blank(s) with the appropriate word(s).


p = (1/200)q + 5

Mathematics

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Factor the polynomial completely. If the polynomial is prime, so state.15x2 - 19xy + 6y2

A. (x - 2y)(15x - 3y) B. (3xy - 2)(5xy - 3) C. (3x - 2y)(5x - 3y) D. (5x - 2y)(3x - 3y)

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Determine whether the graph opens upward or downward.y = 4x2 - 64x + 259

A. Upward B. Downward

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Solve.For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is directly proportional to the square of the voltage across the resistor. The resistor must dissipate  watt of power when the voltage across the resistor is 7 volts. Find the power that the resistor must dissipate when the voltage across it is 21 volts.

A.  watt
B.  watt
C.  watt
D.  watts

Mathematics

Solve the problem.The graphs below show the first and second derivatives of a function y = f(x). Select a possible graph of f that passes through the point P.f'?f"?

A.

[NOTE: Graph vertical scales may vary from graph to graph.]
B.

[NOTE: Graph vertical scales may vary from graph to graph.]
C.

[NOTE: Graph vertical scales may vary from graph to graph.]
D.

[NOTE: Graph vertical scales may vary from graph to graph.]

Mathematics