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
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
Answer:
-0.5,-2/5,0,0.67,7/9
Step-by-step explanation:
Well since the bigger the negative the lesser the number it is itself so -0.5 is the least. The fraction -2/5 turn It into a decimal and you’ll get -0.4 which is greater then -0.5. Then the next number is 0 which is greater then any negative number. Then its 0.67 becuase the other positive fraction Is 0.78 simplified.
Answer:
459
Step-by-step explanation:
First line:
clock showing 9 o'clock + clock showing 9 o'clock + clock showing 3 o'clock = 9 + 9 + 3 = 21
Second line:
The calculators look exactly the same.
3 * calculators = 30
1 calculator = 10
Third line:
1 bulb + 1 bulb - 1 bulb = 15
Since 1 bulb - 1 bulb = 0, we have 1 bulb + 0 = 15, or
1 bulb = 15
Last line:
Clock showing 9 o'clock = 9
Calculator = 10
3 bulbs = 3 * 15 = 45
Total = 9 + 10 * 45 = 9 + 450 = 459
Ion ducking know papi
I’m gonna is your gonna I was like I
