Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 21 units long running from (x, 0) to (0, y). Show that the area of the triangle enclosed by the segment is largest when 
What will be an ideal response?
If x , y represent the legs of the triangle, then x2 + y2 = 212.
Solving for y, y = 
A(x) = xy = x
A'(x) = - 
+ 
Solving A'(x) = 0, x = ± 
Substitute and solve for y: (
)2 + y2 = 441 ; y = 
? x = y.
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Solve the problem.A lottery ticket won a prize of $8,200,000. The winning ticket was purchased by 25 people who had pooled their money. If they all shared the winnings equally, how much money did each person receive?
A. $327,000 B. $32,900 C. $32,800 D. $328,000
Rewrite the quadratic equation in the form ax2 + bx + c = 0, then identify a, b, and c. 2x2 + 11 = 0
A. a = 2, b = 0, c = -11 B. a = 2, b = 11, c = 0 C. a = 2, b = 0, c = 11 D. a = 0, b = 2, c = 11
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.d = rt; t = 5, d = 35
A. r = 30 B. r = 7 C. d = 7 D. r = 40
Express the fraction as a percent. Round your answer to the nearest hundredth of a percent.
A. 5.83% B. 58.3% C. 5.833% D. 58.33%