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:
about 18.2%
Step-by-step explanation:
All you have to do is divide the result of the percent, so 25.7, by the total, 141.
So 25.7÷141=0.18226950354
We round it to 0.182 and multiply it by 100 to know the percent which is 18.2
Your answer is ..
First,
we have to turn our mixed fractions into an improper fraction.
=4 1/8 which is 33/8(4 x 8 + 1).
Our next mixed fraction,
we have 1 1/7 which is 8/7(1 x 7 + 1).
Now, we have the get the same denominator in order to subtract.
SO, both 8 and 7 goes in to 56. So we multiply both mixed fractions to get the same denominator.
(Tip: what ever you do to do numerator, you do to the denominator; and the other way around).
33/8 : 33*7=231 and our denominator, 8*7=56
So our improper fraction now,
231/56
Our next fraction 8/7,
7*8= 56 and our numerator 8*8=64.
=64/56
So, now we subtract.
231-64= 167 and our common denominator. 167/56
Now we divide 167 by 56 which is 2 and remainder is 55.
So, you should end up with a mixed fraction, 2 55/56.
Answer:
.
Step-by-step explanation:
The given function is
.
When this function is translated to the right 7 units and down 9 units, then the equation becomes
.
Always remember that;
is a transformation that translates the graph of
c units to the right and k units down.
The correct choice is the first option.
Answer:
1. y = 2/3 x +2
2. y = -x -8
Step-by-step explanation:
The slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
1. y = 2/3 x +2
2. y = -x -8