12) which of the following is factor of the polynomial x^4+x^3-x^2+x-1
2 answers:
Answer:
none
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Given
f(x) = + x³ - x² + x - 1
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0
Thus (x + 1) is not a factor
If (x - 1) is a factor then f(1) = 0
f(1) = + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0
Thus (x - 1) is not a factor
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Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
Answer:
Distance between the two planes after 1 hour = 410 miles
Step-by-step explanation:
Given - A plane leaves and flies due north at 280 miles per hour. At
the same time another plane takes off from the same airport
and flies due east at a speed of 300 miles per hour.
To find - What is the distance between the two planes after 1 hour ?
Proof -
Given that , Plane 1 flies due north at a speed of 280 miles per hour.
So,
Total distance traveled in 1 hour = 280 miles
Also,
Plane 2 flies due east at a speed of 300 miles per hour.
So,
Total distance traveled in 1 hour = 300 miles.
The diagram is as follows :
Now,
We have to find the distance after 1 hour i.e. AC
In Triangle ABC ,
By using Pythagoras theorem, we get
AC² = BC² + AB²
⇒AC² = (300)² + (280)²
⇒AC² = 90,000 + 78,400
⇒AC² = 168,400
⇒AC = √168,400
⇒AC = 410.366 ≈ 410
∴ we get
Distance between the two planes after 1 hour = 410 miles
Answer:
4 amperes
Step-by-step explanation:
I graphed the function on the graph below to find the maximum value of c.
