Answer:
The hula hoop rolls 879 \text{ cm}879 cm.
Step-by-step explanation:
<u>Answer-</u>
The slope of XZ,YZ,and XY are respectively.
<u>Solution-</u>
The coordinates of the vertices are as follows,
X = (-5, 5)
Y = (-3, -2)
Z = (4, 0)
<u>Slope of XZ-</u>
<u>Slope of YZ-</u>
<u>Slope of XY-</u>
Answer:
-409
Step-by-step explanation:
At the beginning - 12,135 subsribers,
Initial number of subsribers = 12,135
At the end - 10,090 subsribers
Final number of subsribers = 10,090
Time = 5 years.
So, the average yearly rate of change is
The number of subscribers decreases by 409 per year
X^4 - x^2 + 9 - (x^3 + 3x^2 + 12) =
x^4 - x^3 - 4x^2 - 3
The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial has solutions , then you can factor it as
So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as
But this is a fourth-degree polynomial.