Answer:
А.(x-6)(x2 + 6x + 36)
Step-by-step explanation:
Remember this formula for factorizing difference of 2 cubes:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
In
x
3
−
216
,
a
3
=
x
3
b
3
=
216
a
=
3
√
x
3
=
x
b
=
3
√
216
=
6
Substitute
a
=
x
,
b
=
6
into the formula of
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
x
−
6
)
(
x
2
+ (
6
x
x
) +
6
2
)
=
(
x
−
6
)
(
x
2
+
6
x
+
36
)
(
x
−
6
)
(
x
2
+
6
x
+
36
)
is the factorized form of
x
3
−
216
Answer:
$31.94
Step-by-step explanation:
29.99 x 0.065 = 1.95
29.99 + 1.95= 31.94 :)
Answer:
C) About $85
Step-by-step explanation:
Please consider the complete question.
Carl puts $1.10 in his penny bank every day in the month of July (31 days). His total saving at the end of June is $55.00. What is the best estimate at the end of July?
A) about $25
B) about $115
C) about $85
D) about $66
First of all, we will round $1.10 to nearest whole number and round 31 to nearest tens as:


So amount saved in 30 days would be 30 times $1.


Carl's savings at the end of July would be amount saved in June plus amount saved in July that is 
Therefore, the estimate for Carl's saving at the end of July is $85 and option C is the correct choice.
Answer:
4 : 7 : 9
Step-by-step explanation:
The ratio of their dividends is
200 : 350 : 450 ← divide each part by 50
= 4 : 7 : 9 ← in simplest form
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is


We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2


Third choice