Answer:
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is 
.
Step-by-step explanation:
From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:
(1)
Where 
, 
and 
are the roots of the polynomial.
If we know that 
, 
and 
, then the polynomial function in factorized form is:
(2)
And by Algebra we get the standard form of the function:
(3)
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .
Answer: 0
Step-by-step explanation:
This could be written as
Applying L'H rule and differentiating 3 times , we have
taking the limit as x goes to infinity , we have
0
Answer:
(-2, 7); (See attachment)
Step-by-step explanation:
x + 2y = 12
7x + 2y = 0
x + 2y = 12
x = -2y + 12
Solve for y:
7x + 2y = 0
7 (-2y + 12) + 2y = 0
-12y + 84 = 0
-12y = -84
y = 7
Solve for x:
x = -2y + 12
x = -2 (7) + 12
x = -2
x = -2, y = 7
Answer:
Option D
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring.
Probability = the number of ways of achieving success
/the total number of possible outcomes
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
The probability of something which is certain to happen is 1.
The probability of something which is impossible to happen is 0.
The probability of something not happening is 1 minus the probability that it will happen.
By definition we can see that probability lies between 0 and 1 only both inclusive
Hence option D is right.
