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Mathematics
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Elementary and Intermediate Algebra Study Set 1
Quiz 10: Completing the Square
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Question 41
Multiple Choice
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)
Question 42
Multiple Choice
Solve the equation using the quadratic formula.
Question 43
Short Answer
Find the value of
when
Question 44
Multiple Choice
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)
Question 45
Multiple Choice
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation
where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 100,000,000. Round answer to the nearest year.
Question 46
Multiple Choice
The total cost (in dollars) for a company to manufacture and sell
items per week is
, whereas the revenue brought in by selling all
items is
. How many items must be sold to obtain a weekly profit of $500?
Question 47
Multiple Choice
Multiply both sides of the equation by their LCD. Then solve the resulting equation.
Question 48
Multiple Choice
An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by
. How long does it take the object to fall 70 feet?
Question 49
Multiple Choice
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)
Question 50
Short Answer
Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation
where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year.
Question 51
Multiple Choice
Solve the equation.