Answer:
8 1/3 inches
Step-by-step explanation:
Length of the ribbon = 2 1/12 inches
Blue ribbon is 4 time as many inches as long as red
Length of the blue ribbon = 4 * 2 1/12
Length of the blue ribbon = 4 * 25/12
Length of the blue ribbon = 100/12
Length of the blue ribbon= 25/3
Length of the blue ribbon = 8 1/3 inches
Hence the blue ribbon is 8 1/3 inches long
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.
Answer:
Step-by-step explanation:
sub in all your x values into the linear equation it gives you
once you have your table you should be able to figure out the rest if the questions !!
You would plot them by month, 170-110= 60 dollar increase. 60 divided by 12 ( for each month) leaves a 5 dollar increase each month. Your coordinates would be 0,110 1,115 2,120 3,125
x would be month
y would be money
Do you notice anything strange about those points ?
(0, 1),
(1, 2),
(2, 4),
(3, 8).
The y-coordinate of each point is (2) raised to the power of the x-coordinate.
First point: x=0, y=2⁰ = 1
Second point: x=1, y=2¹ = 2
Third point: x=2, y=2² = 4
Fourth point: x=3, y=2³ = 8
The equation of the curve appears to be
y = 2 ^ x .
So, after 10 hours, x=10, and y = 2¹⁰ = 1,024 .
