Find the total area of the region between the curve and the x-axis.y = (x + 3)3; 0 ? x ? 4
A. 120
B. 2320
C. 
D. 580
Answer: D
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Solve the problem.The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $170,000, find each worker's salary.
A. president's salary = $12,750; department head's salary = $4250 B. president's salary = $127,500; department head's salary = $42,500 C. president's salary = $85,000; department head's salary = $42,500 D. president's salary = $42,500; department head's salary = $127,500
A function of x is depicted in the graph. Find any input values that produce the indicated output.f(x) = -4
A. 4 B. -4 C. 3 D. 2
Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 - 8x2 + 14x - 4 = 0
A. {-2, 6 + 
, 6 - 
}
B. {1, -1, 4}
C. {2, 6 + 
, 6 - 
}
D. {2, 3 + 
, 3 - 
}
Solve the problem.A projectile is fired with an initial velocity of 500 feet per second at an angle of 45° with the horizontal. In how many seconds will the projectile strike the ground? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (500 cos 45°)t, and y = (500 sin 45°)t - 16t2.
A. 18.7 sec B. 26.9 sec C. 30.2 sec D. 22.1 sec