Words Problems
You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft above you. The height of the grappling hook you throw is given by the function h(t) = – 16t2 + 32t + 5 . What is the maximum height of the grappling hook?
21 feet
x2-9
(x-3)(x+3)
x2+7x+12
(x+4)(x+3)
h(x) - c(x)
3x2-x-9
(4x2+5xy-3y2)+(6x2+8xy+9y2)
8x2+13xy+6y2
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t2 + 16t + 480 , where t is the time in seconds and h is the height in feet.
How long did it take for Jason to reach his maximum height?
0.5 seconds
6m-24
6(m-4)
Factor:
x2-5x+4
(x-1)(x-4)
h(x) x g(x)
40x2-34-28
Find the zeros of the following function:
f(x)= x(x-4)-21
x=-3, 7
The Vertical height, in feet, of a section of a roller coaster track is modeled by the equation given below, where x represents the horizontal distance, feet.
f(x)=-0.14x2+2.8x+6
What is the maximum height, in feet, of the section of the roller coaster?
20 feet
25-b2
(5+b)(5-b)
find the zeros of the following function
f(x)=x2+5x-36
x=-9,4
c(x) - f(x)
-7x2+13x-7
3x2-27
3(x+3)(x-3)
The shape of the supporting arch under a bridge can be seen by graphing the function below, where t is the horizontal distance between the arch in meters.
b(t)=-0.14t2=1.4t
What is the vertex of the function?
(5,3.5)
(4x2-16)
(2x-4)(2x+4)
3x2+13x+4
(x+4)(3x+1)
Find three consecutive integers whose sum is 51.
16, 17, 18
Find three consecutive integers whose sum is -78
-27,-26,-25
You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t . What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball?
2.25 feet. No.
12x2-28x+20
4(3x2-7x+5)
4x2+12x+9
(2x+3)(2x+3)
The product of two consecutive integers is 182. Find all possible Paris of numbers.
-14,-13 & 13,14
What is the factored form of the following expression?
25x2-130x+169
(5x-13)2