Answer: 5
Step-by-step explanation:
47+ 16x-4 +12x-3 =180
28x +40 =180
28x = 140
X= 5
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:
x=30° y=4
Step-by-step explanation:
cross multiple
5y=8(2.5)
5y=20
divide 5 by 20
and you should y=4
since the polygons are similar x should have the same degrees as the bigger polygon
For this case, we must find the volume of the perfume bottle, given by the volume of a cone.
Where:
r: It's the radio
h: It's the height
Substituting the values:
Round off:
Thus, the bottle contains 41.80 cubic centimeters of perfume
Answer:
Option C
Answer:
x = 0 AND x = -1
Step-by-step explanation:
You find the solution by finding where the two graphs meet. Then you can pull the x-coordinate off the points of intersection which is at 0 and -1
