Solve.A window is in the shape of a square topped by a semicircle. The side of the square is x cm and the window cannot be wider than 140 cm. Find the function for the perimeter of the window and the domain of the function.
A. P = 3x + 
?x : 0 < x ? 140
B. P = 4x + ?x : 0 < x ? 140
C. P = 4x + 
?x2 : 0 < x ? 140
D. P = 3x + 
?x2 : 0 < 140 ? x
Answer: A
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Determine the specific solutions (if any) to the equation on the interval [0, 2?).sin2 2? = 1
A. 
, 
B. 0, 
, ?, 
C. 
, 
, 
, 
D. no solution
Factor completely.80 - 104x - 24x2
A. (8x + 40)(-3x + 2) B. -8(x - 5)(3x + 2) C. (x + 5)(-24x + 16) D. -8(x + 5)(3x - 2)
Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = 1 and b = 2f(x) = 10x5 - 8x3 - 9x2 - 10
A. f(1 ) and f(2) have opposite signs, therefore the function f does not have a real zero between 1 and 2. B. f(1 ) and f(2) have the same sign, therefore the function f has a real zero between 1 and 2. C. f(1 ) and f(2) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between 1 and 2. D. f(1 ) and f(2) have opposite signs, therefore the function f has a real zero between 1 and 2.
Solve the problem.If a boat uses 24 gallons of gas to go 61 miles, how many miles can the boat travel on 96 gallons of gas?
A. 244 miles B. 264 miles C. 15 miles D. 488 miles