I think the answer is the second one. A reflection over the x-axis and the a 90° counterclockwise rotation about the origin.
Answer:
the question is incomplete, so I looked for a similar one:
<em>After the release of radioactive material into the atmosphere from a nuclear power plant, the hay was contaminated by iodine 131 ( half-life, 8 days). If it is all right to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay? </em>
iodine's half life (we are given x, we need to find b):
0.5A₀ = A₀eᵇˣ
x = 8 days
we eliminate A₀ from both sides
0.5 = eᵇ⁸
ln 0.5 = ln eᵇ⁸
-0.69315 = b8
b = -0.69315 / 8 = -0.08664
since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):
0.1A₀ = A₀eᵇˣ
0.1 = eᵇˣ
ln 0.1 = bx
where b = -0.08664
x = ln 0.1 / -0.08664 = -2.302585 / -0.08664 = 26.58 days
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
Answer:
54
Step-by-step explanation:
8^2=64
64-8=56
56-2=54
I hope this is right
