MCQ: Mathematics: Quadratic Inequalities
inf denotes infinity
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Solve the inequality : 6x -x^ 2 >=0
[0,6]
(0,6)
(-inf,0]U[6,inf)
x=0,6
Solve the inequality: x^2-10x+20>=9
[1,9]
(1,9)
(-inf,1]U[9,inf)
(-inf,inf)
A stuntman will jump off a 20 m building. A high-speed camera is ready to film him between 15 m and 10 m above the ground. When should the camera film him?
between 0 and 1 sec
between 2 and 3.6 sec
between 1 and 1.4 sec
none of the above
Solve the inequality: x^4 − 25x^2 + 144 < 0
(-inf,inf)
(3,4)U(5,6)
(−4, −3) U (−3, 3 )U (3, 4) .
[0,4] U [5,6]
When a baseball is hit by a batter, the height of the ball, h(t), at time t, t ≥ 0, is determined by the equation h(t) = −16t 2 + 64t + 4. For which interval of time is the height of the ball greater than or equal to 52 feet?
5<=t<=9
0<=t<=8
t=0
1<=t<=3
The profit, P, for manufacturing a wireless device is given by the equation P = −10x 2 + 750x − 9,000, where x is the selling price, in dollars, for each wireless device. What range of selling prices allows the manufacturer to make a profit on this wireless device?
0<P<100
15<P<60
9<P<60
8<P<34
A ball thrown in the has its height, in meters, described by the function h(t) = -5t 2 + 20t + 2, where time is measured in seconds. Determine to the nearest tenth for how long the ball is above 17m high.
4s
6s
1s
2s
solve the inequality: x^2 + 2x - 15 < 0
(-5,3)
(-inf,-5)U(3,inf)
(-3,5)
none of the above
solve the inequality (40x-21)/x^2>=16
(0.75,1.75)
(-inf,0.75)U(1.75,inf)
0.75
none of the above
-6 ≤ x^2 - 5x ≤ 6
(2,3)
(-inf,inf)
[1,2]U[3,6]
none of the above
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