What? I don’t understand lol
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°
Therefore, we can set up this equation:
(2x + 24) + x = 180 ⇒ Remove parentheses
2x + 24 + x = 180 ⇒ Combine like terms
3x + 24 = 180 ⇒ Subtract 24 from both sides
3x = 156 ⇒ Divide both sides by 3
x = 52°
She has $18.50 so she needs $39.50.
6.50×3= 19.50
18.50+19.50= 38
5.25×4=21
38+21=59
Maya would have enough money to go on the trip.
Answer:
30%
Step-by-step explanation:
Since we want percentage, we need to convert 1/4th to percentage first.
We will divide, get decimal, and then multiply by 100 to get percentage.
1/4 = 0.25
0.25 * 100 = 25%
Now, we can say:
45% + 25% + chocolate = 100%
70% + chocolate = 100%
chocolate = 100 - 70 = 30
Chocolate = 30%
