Answer:
The equation for the relationship is
.
Step-by-step explanation:
Given that point
is part of a direct relationship. That is:
![y \propto x](https://tex.z-dn.net/?f=y%20%5Cpropto%20x)
(1)
Where
is the proportionality constant.
If we know that
and
, then the proportionality constant is:
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{21}{6}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B21%7D%7B6%7D)
![k = \frac{7}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B7%7D%7B2%7D)
Lastly, the equation for the relationship is
.
(5•4)-8 the answer is 12 because 5 times 4 is 20. Then 20 minus 8 is 12.
Go over the x axis up 5 and over the y axis left 1
Answer:
![g(x)=-4x+9](https://tex.z-dn.net/?f=g%28x%29%3D-4x%2B9)
Step-by-step explanation:
So we know that:
![f(x)=4x+9](https://tex.z-dn.net/?f=f%28x%29%3D4x%2B9)
To reflect across the <em>y-axis</em>, instead of x, use -x. Therefore:
![g(x)=f(-x)=4(-x)+9](https://tex.z-dn.net/?f=g%28x%29%3Df%28-x%29%3D4%28-x%29%2B9)
Simplify:
![g(x)=-4x+9](https://tex.z-dn.net/?f=g%28x%29%3D-4x%2B9)
And that's our answer :)
Let Gavin be G
Let Seiji be S
G + S = 425
G = 25 + S
I can't really graph, but plug in some numbers to G and S that works in BOTH equations. Then graph it.
G + S = 425
G = 25 + S
(25 + S) + S = 425
2S + 25 = 425
2S + 25 (-25) = 425 (-25)
2S = 400
2S/2 = 400/2
S = 200
Seiji made 200 dollars
Now choose one of the equations to use (the easier the better) in this case i will choose this one:
G = 25 + S
pug in 200 into S (because that is how much Seiji made)
G = 25 + (200)
G = 225
Seiji made 200, Gavin made 225
200 + 225 = 425, which is the total amount the made
hope this helps