Provide an appropriate response.The profit function for a product is given by P(x) = 37x + x2 - 6300. Determine for what values of x the profit is positive.

Fill in the blank(s) with the appropriate word(s).


x > 63

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = x3, a = 4

A. P3(x) = 6 + 3(x - 4) + (x - 4)2 + (x - 4)3 B. P3(x) = 64 + 16(x - 4) + 16(x - 4)2 + (x - 4)3 C. P3(x) = 64 + 48(x - 4) + 12(x - 4)2 + (x - 4)3 D. P3(x) = 256 + 48(x - 4) + 8(x - 4)2 + (x - 4)3

Mathematics

Provide an appropriate response. Solve the given problem: Timmy mows lawns for his summer income. He can mow a yard 100 feet by 100 feet in 45 minutes. Sara can mow the same size lawn in 60 minutes. If they work together, how long will it take them to mow the lawn?

A. 28 minutes B. 26 minutes C. 37 minutes D. 52 minutes

Mathematics

Solve the equation. = 1 + 

A. ? B. {-12} C. {-2, 4} D. {6, 10}

Mathematics

Decide whether the statement is true or false.{3, 5, 7} ? {4, 6, 7} = {7}

A. True B. False

Mathematics