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
