Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x - 4y)2

A. x2 - 4xy + 16y2
B. x2 - 8xy + 16y2
C. x2 + 8xy + 16y2
D. x2 - y2


Answer: B

Mathematics

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A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last the indicated amount of time.At least 500 hours

A. 5,000 B. 1,000 C. 2,500 D. 2,400

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Without graphing, find the maximum value or minimum value.f(x) = (x + 1)2 - 1

A. 2 B. 0 C. -1 D. 1

Mathematics

Solve the problem.It takes 17 minutes to set up a candy making machine. Once the machine is set up, it produces 15 candies per minute. Use an inequality to find the number of candies that can be produced in 2 hours if the machine has not yet been set up.

A. at most 30 candies B. at most 1785 candies C. at most 510 candies D. at most 1545 candies

Mathematics

Give a direct proof of the following theorem.

Premise 1: If I become a business major, I will take math for the managerial sciences. Premise 2: If I pass geometry, I will take algebra. Premise 3: If I take algebra, I will become a business major. Theorem: If I pass geometry, then I will take math for the managerial sciences. Proof: STATEMENTS REASONS

Mathematics