Answer: Lets divide by 8. My god, those coefficients are large.
x^3 - 8x^2 + 20x - 16 = 0
Possible integral roots are: +1, -1, +2, -2, +4, -4, +8, -8
If x = 2, f(x) = 8 - 32 + 40 - 16 = 0
Hence, x-2 is a factor.
Use synthetic division to get: x^2 - 6x + 8 = (x-4)(x-2).
Therefore, there are two integral roots: +2 and +4.
Step-by-step explanation:
So the answer is 30, explanation in the picture
You want to get the <span>denominator (bottom) of the fraction to a number such as 10, 100 or 1,000. Then you are able to change the fraction into a decimal by having the decimal point and the number afterwards, for example: 1/5=2/10, 2/10=.2.</span>
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
Where A = amount remaining
B = initial amount
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.
Answer:
(
x−
2
)
(
x
+
4
)
Step-by-step explanation:
