The profit a company makes from producing x tabletops is modeled by the equation p(x) = 480x – 2x2. for what number of tabletops does the company make a profit of $0?

For 240 number of  tabletops the company make a profit of $0

Step-by-step explanation:

The profit a company makes from producing x tabletops is modeled by:

 P(x) = 480x – 2x²

For company to make a profit of $0

P(x)=0

⇒ 480x-2x²=0

⇒ 2x(240-x)=0

⇒ x=0 or x=240

x can't be zero hence x=240

Hence, for 240 number of  tabletops the company make a profit of $0

113.42

i hope that is right.

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.