f(x) = (x  2)(53  x)
A.) What is the minimum price,
in dollars, to avoid a loss? 
B.) What is the maximum price,
in dollars, to avoid a loss? 
C.) What is the price, in dollars, that
results in the greatest profit? 
Algebra House 

The manager of a company uses the function shown to model its profit based on the price of a product in dollars, d.
f(x) = (x  2)(53  x)
A total of 300 children and adults attended a school play. There were 21 times as many children in attendance as there
were adults. This situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children. c = 21a a + c = 330 How many children attended the play?
A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by
f(x) = 625  16x². Select all the correct interpretations of the coordinates of the point at the maximum of the function f(x). A.) the time it takes the stick to hit the ground B.) the time when the stick is at its highest point C.) the height of the stick when it is dropped from the top of Miami Tower D.) the time when the stick is dropped from the top of Miami Tower E.) the distance of the stick from Miami Tower when it hits the ground
Which of the following represents the factors of the expression x²  3x  40 ?
A.) (x  8)(x + 5) B.) (x  7)(x + 4) C.) (x + 10)(x  4) D.) (x + 6)(x  9)
Using the equation P = 2R + 2S, write a formula that expresses R as a function of P and S.
The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coefficients.
If g(x) = k∙f(x), what is the value of k?
The figure shows a graph of the function of f(x) in the xycoordinate plane,
with the vertex at (1,9) and the zeros at 2 and 4. The function g is defined by g(x) = 3x + 2 Which statements are true? Select all that apply. A.) f(2) is greater than g(2) B.) f(1) is greater than g(1) C.) f(0) is greater than g(0) D.) f(1) is greater than g(1) E.) f(2) is greater than g(2)
Use the information provided to answer Part A and Part B.
The function f(x) = 4x  x² is graphed in the xy coordinate plane as shown.
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? Select the correct equation. A.) C(4) = 99.50 B.) C(398) = 4 C.) C(4) = 398 D.) C(99.50) = 1
Consider the function f(x) = 2x² + 6x  8

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