The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
Answer:
Odds for male= 1.538
Odds for female = 0.65
Step-by-step explanation:
The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9
In this case, the odds of selecting a male will be:
number of male : number of female= 20:13 = 1.538
The odds of selecting a female will be
number of female : number of male = 13/20 = 0.65
16 ounces in a pound
2.40 for 3 ounces
16 divided by 3 = 5.333
12.8
Approx $12.80 for 1 pound of cinnamon
Answer: 8.94
Step-by-step explanation:
