Tim is sorting his book collection into groups. He places each group onto bookshelves that can hold a maximum of 25 pounds. His collection includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each.
Select all of the possible numbers of hardcover books that could be on one bookshelf.
A function is shown:
f(x) = x² + 2x - 3
Show the x-intercepts and maximum or minimum of the function.
The cost to manufacture x pairs of sunglasses can be represented by a function C(x). If it costs $398 to manufacture 4 pairs of sunglasses, which of the following is true?
A.) C(4) = 99.50
B.) C(398) = 4
C.) C(4) = 398
D.) C(99.50) = 1
A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression? Select the correct answer.
A.) The ball takes 3 seconds to reach its maximum height.
B.) The ball takes 3 seconds to reach the ground.
C.) The ball was thrown from a height of 3 feet.
D.) The ball reaches a maximum height of 3 feet.
The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.
Which of these expressions represents the volume of the prism? Select all that apply.
B.) 4x² - 25
C.) 12x³ - 75x
D.) 3x(4x² - 25)
E.) (2x + 5)(6x² - 25x)
F.) 12x³ + 60x² + 75x
G.) 12x³ - 30x² + 10x - 25
Which expression is equivalent to (2r² + r - 1) - (3r² + 4r - 5) ?
A.) -r² - 3r + 4
B.) -r² + 5r - 6
C.) 5r² - 3r + 4
D.) 5r² + 5r - 6
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