is already in simplest form.
But if you meant to say
, we would combine the first two terms.
Adding/subtracting like terms is the same as adding/subtracting whole numbers.
Therefore:
Which gives us:
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:
12x - 6
Step-by-step explanation:
8x - 3 + 4x - 3
12x - 6
x = - 2
Answer:
y = 3x -2
Step-by-step explanation:
If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.
You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.
y = m*x + b
7 = 3*3 + b
7 = 9 + b
-2 = b
y = 3x -2
I Hope This Helps :D
Answer:
Step-by-step explanation:
The common ratio can be found by finding the quotient of a term and the previous term in the sequence.
The common ratio is -0.5.
The rule is to multiply a term in the sequence by -0.5 to get the next term.
Next 3 terms :
The next 3 terms are 0.875, -0.4375, 0.21875.
