Step-by-step explanation:
step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.
step 2. we "can" use long division but synthetic division is easier!
step 3. 1 4 23 -34 7
4. 4. 27. -7.
4 27. -7. 0 (must get 0)
step 4. so the factors are (x - 1)(4x^2 + 27x - 7).
step 5. please note if you multiply these factors together you will get the original polynomial!
Answer:
Uh 90 i hope your kidding
Step-by-step explanation:
Answer:
c = sqrt( 29x^2 + 44x + 52)
Step-by-step explanation:
This is an application of the Pythagorean theorem
c = sqrt(a^2 + b^2)
a = 2x - 4
b = 5x + 6
c = sqrt( (2x - 4)^2 + (5x + 6)^2 ) Substitute and expand
c = sqrt( 4x^2 - 16x + 16 + 25x^2 + 60x + 36) Collect like terms
c = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36) Combine the like term pairs.
c = sqrt( 29x^2 + 44x + 52)
This does not factor into anything very nice.
The answer is 32,000 years. Wow!!
Answer:
Step-by-step explanation:
Given that the probability that an American company will open a location in Shanghai, China is 0.7.
The probability that it will open a location in Beijing, China is 0.4.
The probability that it will open a location in either Shanghai or Beijing or both is 0.8.
the probability that the company will open a location in:
(a) both Shanghai and Beijing :
P(both) = 0.3
(using addition theory of probability for union of sets)
(b) neither Shanghai nor Beijing
= 1- P(AUB)
(c) Beijing but not in Shanghai?
P(Beiging)_P(both) = 
(d) Shanghai given that it opens a location in Beijing
=P(Both)/P(Beijing) = 
