Answer:
The angular velocity of Earth is π/12 radians per hour.
The angular velocity of Earth is 2π radians per day.
Step-by-step explanation:
A full circumference of a circle (as the Equator line on Earth) is 2π radians.
Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.
So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!
Now, if you want to find the angular velocity per HOUR... you divide that by 24... so 2π/24 = π/12 radians
So, we can also say it does π/12 radians per hour.
Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and
units down
that means

so
In the function f(x) the point
is equal at the point
in the function g(x)
therefore
the function g(x) is equal to


<u>The answer is</u>
a) the rule of the translation is 
b) The graph in the attached figure
we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).

The answer to this equation is :-10x+38 because
-2x(x-3)+4(-2x+8)
(-2x+6)+(-8x+32)
(-2x+6)(-8x+32)
-2x+6-8x+32
-10x+38