Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
a²+b² = c² where a and b are legs and c is the hypotenuse
So...
a²+4²=13²
a²+16=169
a²=153
a=√153
answer: approx. 12.37 units
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.
25 = 5^2
90 = 2 . 3 . 3 . 5
GCF is not as greedy as LCM.
GCF is just on a diet, so it takes the same number and the smallest amount.
25 and 90 both have 5.
5^2 or 5 ?
Take the smaller one.
GCF = 5
