Hi!
Answers:
51. w=9/4
53. b=12
Answer:
Quadrant 4
Step-by-step explanation:
If the given angle was positive, then we go clockwise.
But it's negative so we go counterclockwise.
An alternative way of graphing
Quadrant 1 is 0-90°
Quadrant 2 is 90-180°
Quadrant 3 is 180-270°
Quadrant 4 is 270-360°
Subtract the given angle by 360 until no longer possible
750 - 360 = 390 390 - 360 = 30
Remember that this was originally a negative angle
Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°
Answer:

Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:

This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:

That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).
Answer:
D.
Step-by-step explanation: