Let the numbers be x and y. They differ by 46. Then x = y + 46.
Their product is P = xy. Since x = y + 46, P = xy = (y + 46)y, or
P = y^2 + 46y. You could graph this and then identify the coordinates of the vertex, which would give you the minimum value of P.
Or you could differentiate P(y) with respect to y, set the result = to 0, and solve for y:
2y + 46 = 0; y = -23. x = y + 46, or +23.
The vertex of the graph of this parabola represents the minimum value of the product P. It is (23, 46), and 46 is the smallest possible product here.
Answer:
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Step-by-step explanation:
6 is your degree because it is the greatest exponent in the polynomial.
The volume of a rectangular prism is computed by a formula volume = length times width times height. So base on your given the volume is represented by x^3+11x^2+20-32 and the width is x-1 and height is x+8 the length is x+4 i hope i answered your question
