Answer:
Step-by-step explanation:
<u>The roots are:</u>
- 3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5
<u>The polynomial is:</u>
- -5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- - 5(x² - 6x + 9) (x² - 4x + 13) =
- -5(x⁴ - 10x³ + 46x² - 114x + 117) =
- -5x⁴ + 50x³ - 230x² + 570x - 585
Answer:
there's one graph I don't see the others
Answer:
see work attached and shown
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
