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
5.99 ÷13 =0.46
the unit rate is about 0.46 per ounce
48" means 48 inches
anyway
the perimiter is the distance around or the sum of the sides
perimiter=48=x+3+4x-1+2x-3=7x-1
48=7x-1
add 1 to both sides
49=7x
divide both sides by 7
7=x
x+3=7+3=10
4x-1=4(7)-1=28-1=27
2x-3=2(7)-3=14-3=11
the sides are 10", 27" and 11"
x=7
Answer:
Please remember
n
√
x
is written as
x
1
n
in exponential form
Hence
3
√
x
2
y
can written as
(
x
2
y
)
1
3
As
(
x
a
)
b
is nothing but
x
a
⋅
b
3
√
x
2
y
=
(
x
2
y
)
1
3
=
x
2
⋅
(
1
3
)
*
y
1
3
=
x
2
3
*
y
1
3
Step-by-step explanation: