Which table shows a function that is decreasing only over the interval (–1, ∞)?
1 answer:
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Answer:
all my work is in the picture but srsly pls u should make another question with more points... blank tho :( this took a rlly long time, pls?
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:
x=12
y=
Step-by-step explanation:
Hey There!
to solve this problem we need to use the 30 - 60 - 90 triangle rule
So you are correct on x because the hypotenuse is 2x
24/2=12
y would equal
as you could see in the image down below
