The graph of the revenue function f(x) = –0.07x2 + 3.5x is used to determine revenue in hundreds of thousands of dollars, where revenue depends on the number of thousands of items sold, x. How do the mathematical domain and reasonable domain compare? A. mathematical: –∞ < x < ∞ reasonable: 0 ≤ x ≤ 25 B. mathematical: –∞ < x < ∞ reasonable: 0 ≤ x ≤ 50 C. mathematical: 0 < x < ∞ reasonable: 0 ≤ x ≤ 25 D. mathematical: 0 < x < ∞ reasonable: 0 ≤ x ≤ 50

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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step-by-step explanation:

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place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

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