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
The graph of a function is shown.
What is the maximum value of the function?
A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot-wide cement walkway. What does the algebraic expression (w + 4)(w + 7) represent in this context?
A.) the area of the garden only
B.) the total area of the garden and walkway
C.) the perimeter of the garden only
D.) the perimeter of the walkway only
Jerome is constructing a table of values that satisfies the definition of a function.
Which number(s) can be placed in the empty cell so that the table of values satisfies the definition of a function? Select all that apply.
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