Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Answer:
(0,6)
Step-by-step explanation:
The given system of equations is
and
We substitute the first equation into the second equation to get:
We expand to get:
We group similar terms to get:
Put x=0 in to the first equation to get:
Therefore the solution is (0,6)
You really just need the little table they provide to figure this one out, but here we go!
<span>First, you must find what class the person falls under. For this, it would be Class 3 since it is used for business purposes, but no male under 25 has driven it. You then find the premium for 100/300 under class 3, which is $549.70 and the property damage of 25,000 (The 25 in 100/300/25 means the damage in thousands), which is $98.20 and add the two together. So the total premium would be $647.90 in total annual premium.</span>
Answer:
500
Step-by-step explanation:
Easy just times 5x100 or you could do 10, 20, ect 50 times in order to get 500. Sorry if this wasn't helpful lol.
x + 2
Step-by-step explanation:
2 ( x + 2) + 2 (x + 4) = 32
2x + 4 + 2x + 8 = 32
4x + 12 = 32
4x = 32 – 12
4x = 20
x = 5
Width of picture = 5 inches
Length of picture (x + 2) = 7 inches
Length of frame = x + 2 + 2 = 9 inches
Width of frame = x + 2 = 7 inches
