Answer:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
Step-by-step explanation:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)
Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
Answer:
x > -6.
Step-by-step explanation:
2x + 3 > -9
2x > -9 - 3
x > -12/2
x > -6.
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
