31) 27
32) 75
33) 74
34) 90 (because it’s a right angle and adds up to 180)
f(x) = (3x+5)/7
Step 1:
we write f(x) as y
y=(3x+5)/7
Step 2:
switch y by x and x by y
x=(3y+5)/7
Step 3:
solve for y,
x=(3y+5)/7
multiply both sides by 7
7x=3y+5
subtract 5 from left side
3y=7x-5
divide both sides by 3
y= (7x-5)/3
f⁻¹ (x) =(7x-5)/3
Answer: First option.
Step-by-step explanation:
You can idenfity in the figure that
is formed by two secants that intersect outside of the given circle.
It is important to remember that, by definition:

Knowing this, you can set up the following equation:

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle
.
This is:

Answer:

Step-by-step explanation:
Insert the given x values for the given equation to find the corresponding y coordinate:


Insert -6:

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

Insert -1:

Insert 1:

:Done
Answer:
(a) 1 inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.
__
The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.
The question asks for an <em>explanation</em> of the slope, not its function in the equation. That is why we have chosen the first answer.