<h3>
Answer: x-3</h3>
Since p(3) = 0, this means x = 3 plugs into p(x) to get 0
We can write p(x) as p(x) = (x-3)q(x) where q(x) is some other polynomial that multiplies with (x-3) to lead to x^3-3x^2-x+3
Let's plug in x = 3 and see what happens
p(x) = (x-3)q(x)
p(3) = (3-3)q(3)
p(3) = 0*q(3)
p(3) = 0
No matter what the result of q(3) was, it doesn't matter because it multiplies with 0 to get 0.
The general rule is: if p(k) = 0, then x-k is a factor of p(x). This is a special case of the remainder theorem.
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
Answer:
Step-by-step explanation:
You could use anything that does not change the value of 3 in 0.53 or the 4 in 0.54
So for example
0.533
0.536
0.538
all would make the sentence above true.
Answer:
9 hours
Step-by-step explanation:
936/13 = 72
72 miles per hour
648/72 = 9
