Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
Answer:
A
Step-by-step explanation:
because when you multiply 3x3 (the base) times 18(the height) you get= 162
0.6 as a fraction in simplest form is 3/5
Answer:
B, 6 miles per hour
Step-by-step explanation:
1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)
2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)
3. (4/3 * 18/4 = 72/12)
4. 72/12 can be simplified to 6/1 or 6.
5. Answer is B, 6 miles per hour
Complete question :
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
Answer:
Step-by-step explanation:
Total number of marbles :
Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6
Total = (1 + 6 + 7 + 4 + 6) = 24 marbles
Probability of selecting marble that is not yellow :
Number of marbles that aren't yellow / total number of marbles
Marbles that aren't yellow = 24 - 6 = 18
P(selecting a marble that isn't yellow) = 18 / 24 = 3/4
