(x - 5i√2)(x +5i√2)
given the roots of a polynomial p(x), say x = a and x = b
then the factors are (x - a)(x - b)
and p(x) is the product of the factors ⇒ p(x) = (x - a)(x - b)
here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)
take the square root of both sides
x = ± √-50 = ± √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2
The roots are x = ± 5i√2
thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))
x² + 50 = (x + 5i√2)(x - 5i√2)
1) A. Biased because the population could be uneven. Too many of one ethnicity, too many of one gender, etc.
2) I believe this one is C. because there are not enough people. You need to survey the majority of parents instead of a selected few.
3) There are 80 green marbles per 500, therefore calculate the percentage.

or

percent. Multiply

percent or

times 25. It gives you

.
4) This one is a probability thing too. For every 500 batteries, there are 3 that are defective, therefore,

.

5) Yet another one. Add up all the nuts and you get

. The chance of getting a cashew from these

is:

.
Therefore:
Answer:
Barbarian is the first.
Thatched is second.
Vassal is third.
Granary is fourth.
Step-by-step explanation:
Answer:
Step-by-step explanation:
(1) P = 5G
(2) G + P = 30
Substituting (1) into (2) gives:
G + 5G = 30
6G = 30
G =5
So there are 5 green pencils.
Now using that in (1) gives us P = 5 x 5 = 25
So there are 5 green pencils and 25 purple pencils.
Answer:
yes it's a solution. I think. I don't really know this