Answer:
Option A
Step-by-step explanation:
Angular velocity of an object is defined by,
Angular velocity (w) = 
Here, Δθ = Change in angle of rotation
Δt = Duration or time
In this question Δθ = 
radians and Δt = 24 seconds
Therefore, angular velocity = 
= 
radians per second
Option A is the answer.
Answer:
"The quotient of two numbers is equal to the sum of the numbers" can be expressed by x/y = x + y, but the statement is false. You can't plug in any old x and y and expect the statement to be true. Just think of the equation y=10x+5.
Step-by-step explanation:
The reflection over the x-axis is given by the transformation:
f₁(x) = - f(x)
Therefore, the first step is:
f₁(x) = - log(4x)
Stretching by a factor n along the y-axis is given by the transformation:
f₂(x) = n · f₁(x)
Therefore we get:
f₂(x) = -3 · log(4x)
Shifting a function down of a quantity n is given by:
f₃(x) = f₂(x) - n
Therefore:
f₃(x) = -3·log(4x) - 2
Hence, the correct answer is C) g(x) = <span>-3·log(4x) - 2</span>
