SIMPLIFY
Simplify (x-3)(2x+5)
2x2 - x - 15
The function f(t) = -5t2 +20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
9 seconds
Factor 60x2 + 43x + 2
(20x + 1)(3x + 2)
Solve 27x 2 + 21x + 3 = -1
No Real Solutions
How many zeros does this function have?
f(x) = 2x2 + 8x + 1
None
State whether the graph opens up or down: x2 - 14x + 1990
The graph opens up because the coefficient of x2 is greater than 0.
Factor x2 + 20x + 100
(x + 10)2
Solve 3 = x2 + 2x
x = 1 or -3
Find the vertex of y = x2 + 8x +1
Vertex = (-4,-15)
Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?
Factor 9x2 - 196
(3x -14)(3x + 14)
Solve 6n2 - 11 = 0 (Decimals are fine)
x = -0.738549 or 0.738549
Solve 4x2 +3x =-1
No Real Solution......cannot take the square root of a negative number
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?
0.5 seconds
Factor 14x2 - 32x + 8
2(7x -2)(x-2)
Solve 2m 2 + 2m -12 = 0
m=-3 or 2
Find the maximum of y=-6x2 +3x + 5
(0.25,5.375)
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
144 ft
Factor x2 + 2x - 2
Prime
Solve 3x2 = -4x + 2
Must be in simplest radical form
(-2 + sqrt10)/3
(-2 - sqrt10)/3
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function
p= -15x2 +600x +60 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?
$6060