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Draw a straight, horizontal line. Mark evenly-spaced scale divisions, 0 to 5 (because all of the given numerals fit within this domain).
Recognize that the LCD of these fractions and mixed numbers is 6.
Convert all of the given fractions to denominator 6, as needed (some already have that denominator).
Arrange the resulting fractions in ascending order. For example, 5/6, 1/6, 3/6 would become 1/6, 3/6, 5/6 (in ascending order).
Plot all your numerals (all of which have denominator 6) on your number line.
Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
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The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.
No, she is not correct. Since the difference in each x is not constant, it would be an exponential function. It is multiplied at a rate of 3 times the previous number
