For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get
x^2-12x+45
___ ________________________
x+1 | x^3-11x^2+33x+45
- (x^3+x^2)
_________________________
-12x^2+33x+45
- (-12x^2-12x)
______________
45x+45
-(45x+45)
___________
0
Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
Answer:
n = 13
Step-by-step explanation:
The sum of the measures of the interior angles of an n-sided polygon is
(n - 2)180
Set (n - 2)180 equal to 1980 and solve for n.
(n - 2)180 = 1980
Divide both sides by 180.
n - 2 = 11
Add 2 to both sides.
n = 13
Answer:
2344.79686
Step-by-step explanation:
The fifth place to the right of the decimal point is the hundred-thousandth spot. Since the number following is 7, we round up, thus resulting in 2344.79686.
The first consignment shows no association between the t-shirt size and the profit.
In the second consignment, the bigger the t-shirt size, the smaller the profit. There is an inverse relationship between the two variables.
In the third and fourth consignment, the bigger the size, the larger the profit. There is a direct relationship between the two variables.
Answer:
3.2 gallons
Step-by-step explanation:
Write a proportion:
1 gallon / 825 square feet = x / 2640 square feet
Solve:
x = 3.2 gallons
