Answer:
584
Step-by-step explanation:
17510 divided by 30 is 583.66 but you can have part of a person so you round up.
Answer:
r≥2.5
it can't be < because the green dot is filled in
r is larger than 2.5 because the arrow goes to the right
Answer:
(f - g)(x) = 9x + 1
Step-by-step explanation:
Step 1: Write out functions
f(x) = 3x + 10x = 13x
g(x) = 4x - 1
Step 2: Find (f - g)(x)
(f - g)(x) = 13x - (4x - 1)
(f - g)(x) = 13x - 4x + 1
(f - g)(x) = 9x + 1
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
