**Answer:**

y intercept: (0, 4); x intercept: (6, 0)

**Step-by-step explanation:**

to find the x and y intercepts of the line we can plug numbers in

we can turn x into 0 to find the y intercept

2(0) + 3y = 12

0 + 3y = 12

y = 4

this means that your y intercept is (0, 4)

then we can turn y into 0 to find the x intercept

2x + 3(0) = 12

2x + 0 = 12

x = 6

this means that your x intercept is (6, 0)

**Answer: 9.5 hours **

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

**Step-by-step explanation:**

**Answer:**

The inverse will be:

**Step-by-step explanation:**

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

= x + 4

Second divide by 9

/9 = (x + 4)/9

= (x + 4)/9

Now you will have to clear y, with the square root.

[/tex] =

Simplifying terms

**You can check the answer by doing the evaluation of the following equation:**

(f o ) (x)

substitute the equation for y' or inverse function

f()

Now substitue the value into f(x)

You will have

=x

As ordered pairs ( g , C ) where g is the number of games and C is the cost

( 5, 20.50) and ( 9, 28.50)

the slope M = ( 28.50 - 20.50 ) / (9-5)

= 8/4

= 2

So the slope M=$2 per game

Using (5, 20.50)

The intercept B = y - m* g

= 20.50 - 2 * 5

= 20.50 - 10

= 10.50

So the fixed base cost, or FLAT RATE is $10.50.

That is if they played ZER0 games, they still have

to pay $10.50 just to get in.

The linear function is C (g) = 2*g + 10.50

**Answer:**

**Step-by-step explanation:**

Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is then

Subtract first two equations and last two equations:

Suybtract these two equations:

So

Substitute into the first equation:

The equation of the parabola is

The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function , so it has the equation

Hence, the piece-wise function is