Answer:
![y=-3x+48](https://tex.z-dn.net/?f=y%3D-3x%2B48)
Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is:
, where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula:
,
![m=\frac{-12}{4}=-3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-12%7D%7B4%7D%3D-3)
Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,
![y=-3x+48](https://tex.z-dn.net/?f=y%3D-3x%2B48)
Therefore, our desired equation will be
.
Answer:
I do not understand.
Step-by-step explanation:
Please add a picture of explain what it is you want help with.
At this moment I do not understand the question, I am sorry.
Solution:
f(x) = 2x + 3
g(x) = x - 9
f(x) + g(x)
= (2x + 3) + (x - 9)
= 2x + x + 3 - 9
= 3x - 6
Answer:
g = 12
Step-by-step explanation:
Inequality is 4g + 12 < 60
Solving for g,
4g < 60 - 12
4g < 48
Divide both sides by 4,
g < 48 / 12
g < 12
The total amount of gas she can buy is 12 gallons