Solving
Find the Discriminant: 5x2 = 3x - 7
-131
Simplify: (5 + radical -8) + (-13 + 4 radical -2)
(6i radical 2) - 8
The height, h(t), of a rocket, t seconds after firing, is given by: h(t) = -16t2+80t+200. Find the max height of the rocket and the amount of time, in sec, it takes to reach that height
300ft in 2.5 sec
Determine number of solutions:
x2 + y2 = 16
y = -x + 14
List the transformations of the following equation: g(x) = -2(x - 2)2 + 2
Reflects over the x axis
Right 2
Up 2
Vertical stretch factor of 2
Solve using Factoring: 16 - 36x - 10x2 = 0
x= -4 or 2/5
Simplify: 4(7 - i) - 5(2 - 6i)
26i + 18
The height, h(t), of a rocket, t seconds after firing, is given by: h(t) = -16t2+80t+200. When will the rocket hit the ground?
6.83 seconds
Solve:
y = -x2 + 4
y = -4x +8
x = 2
Write an equation for the following transformations: vertical compression by a factor of 1/2, a reflection over the x axis, and a translation 2 units left.
f(x) = -1/2 (x + 2)2
Solving by completing the square: 2x2 - 3x - 2 = 0
x = +or-2
Simplify: ((radical 5) + 2i)2
(4i radical 5) + 1
Old McDonald has 1000 yards of fencing to enclose a rectangular field on his farm. What is the equations that represents the max area?
A = -y2 + 500y
Solve using graphing calc:
y = -3x2 + 6
y = 3x
x = -2
x = 1
Write an equation for the following transformations: A translation 10 units down and a translation 4 units left, followed by a vertical compression by a factor of 2/3 and a reflection over the x axis.
f(x) = -2/3 (x + 4)2 -10
Solve using quadratic equation: x2 - 7x = 18
x = 9 or -2
Simplify: -5 - 6i/ -2 +4i
16i - 7/ 10
Use quadratic regression to find the equation that best fits the given points: (-2, 4), (0, 5), (1,-11)
Y = -5.5x2 - 10.5x + 5
Solve the Inequality: x2 + 6x + 9 < 0
No real solutions
The profit function for a company selling Pez candy dispensers is P(x) = -6x^2 + 720x - 12,500. Determine the number of Pez dispensers that will produce the maximum profit and then find the maximum profit.
60 dispensers, profit of $9100.
Solve using quadratic formula: -3x2 - 5x + 4 = 0
x = 5
Write in vertex form: y=x2+16x+71
y=(x+8)2+7
Use quadratic regression to find the equation that best fits the given points: (-2, -13), (2, 3), (4, 5)
y = -0.5x2 + 4x -3
Solves the inequality: x2 + 20x + 100 > 0
All real numbers
Standing on the roof of a building 160 feet above the ground, Dylan threw a ball upwards with a speed of 48 ft/sec. This can be modeled by the function h(t) = -16t2 + 48t + 160. When does the ball reach 100 feet?
3.9 seconds