Answer:
-6
Step-by-step explanation:
to find slope by counting you just count rise over run
to get from (1,-4) to (0,2) you must go up 6 and back 1
6/-1 (negative cause you went back)
There are 2 senators from each of the 50 states.
All senators are present, therefore there are 100 senators.
48 senators voted in favor of a treaty.
Let x = the number of additional senators who should vote in favor of the treaty to achieve 2/3 of 100.
That is,
48 + x ≥ (2/3)100
x ≥ 200/3 - 48
x ≥ 18.667
x should be an integer, therefore
x ≥ 19
Answer: 19 or greater
It would be: 9x² - 25 / 3x + 5
We can write 9x² - 25 as (3x + 5)(3x - 5)
So, = (3x + 5)(3x - 5) / 3x + 5
= 3x - 5
In short, Your Answer would be 3x - 5
Hope this helps!
Answer:
Step-by-step explanation:
This is a third degree polynomial because we are given three roots to multiply together to get it. Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root. Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.
Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):
If x = -4, then the factor is (x + 4)
If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)
If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)
Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):
(x - 2 - i)(x - 2 + i) =
Combining like terms and canceling out the things that cancel out leaves us with:
Remembr that , so we can rewrite that as
and
That's the product of the 2 imaginary factors. Now we need to FOIL in the real factor:
That product is
which simplifies down to
And there you go!
Answer:
A) -2/3 is located to the right of -1
Step-by-step explanation:
-2/3 is located to the right of -1 because it is a smaller number, and because of the greater than sign.