Answer: True
If one variable goes down, then the other goes up, and vice versa. Think of it like a see-saw. We'll have x on one side pushing down to make y go up. An example of this would be y = 1/x which graphs out a hyperbola.
Answer:
Option A 
Step-by-step explanation:
4 infants + 11 toddlers = 15 children
4 infants / 15 children = 
The plane you want is parallel to another plane, <em>x</em> - <em>y</em> + <em>z</em> = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains <em>r</em><em>(t)</em>. Then the equation of the plane is
⟨<em>x</em>, <em>y</em> - 4, <em>z</em> - 4⟩ • ⟨1, -1, 1⟩ = 0
<em>x</em> - (<em>y</em> - 4) + (<em>z</em> - 4) = 0
<em>x</em> - <em>y</em> + <em>z</em> = 0
4x+3y=1 2x+5y=11
We'll need to use system of equations for this one.
4x+3y=1
3y=1-4x
y=-4/3x+1/3
2x+5y=1
5y=1-2x
y=-2x/5+1/5
Set these two equations equal to each other and solve for x.
-2x/5+1/5=-4/3x+1/3
x=1/7
Then plug x in to solve for y.
y=-2(1/7)/5+1/5
y=1/7
7/20 is equivalent to the decimal 0.35
