Answer: x - 12 is not a factor.
Step-by-step explanation:
The equation
x³ - 4x² - 4x + 16
To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.
(a) x + 2
If x + 2 = 0
x = -2, now substitute for x in the equation and find out if it will be zero.
x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.
= -8 - 16 + 8 + 16
= 0.
Therefore, x + 2 is a factor.
(b) x - 12
If x - 12 = 0, then x = 12
x³ - 4x² - 4x + 16
(12)³ - 4(12)² - 4(12) + 16
1728 - 576 - 48 + 16
= 1,120 , not a factor.
(c) x - 2
If x - 2 = 0, then x = 2
x³ - 4x² - 4x + 16
(2)³ - 4(2)² - 4(2) + 16
8 - 16 - 8 + 16
= 0, Therefore, x - 2 is a factor.
(d) x - 4
If x - 4 = 0, x = 4
x³ - 4x² - 4x + 16
(4)³ - 4(4)² - 4(4) + 16
48 - 48 - 16 + 16
= 0,therefore, x - 4 is also a factor.
Answer:
B.
Step-by-step explanation:
The first pattern is red, blue, and red, so the next one would be blue.
Next, we can see that the angles are 45 and then 90 degrees.
This means that the only reasonable answer is B.
Answer:
181 MP3 players
Step-by-step explanation:
Given data:
Replacement of MP3 that fail within 3 years
expected lifetime of MP3 = 5 years
number of MP3 players purchased = 1000
number of MP3 players replaced in the first year = ?
To determine the number of MP3 replaced in the first year we will employ this formula:
a = ∞
since the given problem is an exponential distribution
1/u = 5 hence u = 0.2
next we will determine the number of MP3's to fail in its first year of purchase
qo = failure
po = success
number of purchase = 1000
attached below is the remaining part of the solution
Answer: 20, I believe
Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.
Answer:
-0.04x +17.2
Step-by-step explanation:
