Already Factored
3n2-13n+4=0
n=1/3 or n=4
n2+6n+9=0
n=3 or n=-3
A rocket is shot upward into the sky. The height above the ground is given by the equation
h=40t-16t2.
At what time will it hit it's peak?
it will it its vertex at 1.25 seconds
Find the maximum area of a rectangle that has a perimeter of 40m
The sides are 10m and the area is 100m^2
3x2-8x+4=0
x=2/3 or x=2
Factor
4p2-16p+16
(2p-4)(2p-4)
or (2p-4)^2
A rocket is shot upward into the sky. The height above the ground is given by the equation h=40t-16t2.
How high will it be at it's peak?
Find the dimensions of a rectangle whos area is 180 square feet and has a width that is 3 feet less than its length.
the side lengths are 15 feet x 12 feet
10x2+x-3=0
x=1/2 or x=-3/5
9x2+30x=-25
x=-5/3
A rocket is shot upward into the sky. The height above the ground is given by the equation
h=40t-16t2.
At what time will it hit the ground again
It will hit the ground again after 2.5 seconds
Find the dimensions for a rectangle whos width is twice its height and whos area is 200m^2
the rectangle is 10m x 20m
3a2-19a+20=0
a=4/3 or a=5
Factor
16m2-4=0
(4m+2)(4m-2)
I drop a ball from a great height, modeled by the equation
-4.9t2+300
When will the ball hit the ground?
The ball will hit the ground after 7.82 seconds
Steve has a 240 feet of fence to make a rectangular pen. A shed is used for one side of the pen. What are the dimensions for the maximum area?
60 ft x 120 ft.
4v2-1=0
v=-1/2 or v=1/2
17n2 - 7n - 5 = n2 - 17n + 4
n=3/4 or n=-3/4
A golfer launches a golf ball into the air. the height of the ball can be modeled by the equation
-16t2+40t+94.
When will be ball be exactly 30 feet in the air?
The ball is 30 feet in the air after 4 seconds
A farmer has 60 feet of fencing to enclose a plot of land against a river. What are the dimensions of the plot if he must enclose exactly 400 ft^2
The dimensions would be either 10x40 OR 20x20 either configuration would work