Reference no: EM13535642
13. True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with a vertex (0, b).
19. Use the graph of the related parabola to estimate the solutions to 0 = –3x2 + 3x +1. Round answers to three places.
20. The height in feet above the ground of a ball thrown straight up with an initial velocity of 96 ft/sec is given by the formula
h(t) = –16t2 + 96t + 4
where t is the time, in seconds, after the ball is thrown. Find the value(s) of t for which the height of the ball is 48 feet. Find the exact solution(s).
21. A rectangular room has an area of 201.5 square feet and a perimeter of 57 feet. What are the dimensions of the room? Find the exact solution.
22. Solve the inequality graphically and graph the solution set on a number line.
(x + 3)(x – 2) < 0
23. Solve the inequality graphically and graph the solution set on a number line.
x2 – 2x – 3 < 0
24. Solve the inequality algebraically and graph the solution set on a number line.
x2 – 9 <= 0
25. Solve the inequality graphically and graph the solution set on a number line.
x2 < 2x + 35
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Solve the system of linear inequalities by graphing
: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours.
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How much did he invest at each rate
: Angus invested $18,000, part at 3% and part at 5%. If the total interest at the end of the year is $660, how much did he invest at each rate?
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What are the dimensions of the room
: A rectangular room has an area of 108 square feet and a perimeter of 43 feet. What are the dimensions of the room? Find the exact solution.
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Where a and b are real numbers and a is not zero
: True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with the y-axis as the axis of symmetry.
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Solve the inequality graphically and graph the solution
: where t is the time, in seconds, after the ball is thrown. Find the value(s) of t for which the height of the ball is 48 feet. Find the exact solution(s).
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Find the lengths of all three sides
: The hypotenuse of a right triangle is 6 ft longer than the shortest side. If the sum of the lengths of the two legs is 21 ft, find the lengths of all three sides.
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Find the value of the discriminant and give the number
: Find the value of the discriminant and give the number of real solutions.
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What number of items would provide a revenue
: The revenue R in dollars for the sale of x items at Joe's Dollar Store can be modeled by the equation R = 1400x – 5x2. What number of items would provide a revenue of $16,080?
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Assume all variables represent positive real numbers
: Use the properties of exponents to simplify the expression. Assume all variables represent positive real numbers.
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