Word Problem
A tennis ball is thrown up in the air.
The height of the ball is modeled by the function
f(x)=-16t2+32t+3
What is the initial height of the tennis ball?
3
Add the Polynomials
(3 + 9i) +(4 - 4i)
7 + 5i
Solve using the quadratic formula
x2+6x+5=0
x=-5 and x=-1
(1+6i)(7+4i)
-17+46i
x2 - 3x - 18
(x + 6) (x + 3)
A tennis ball is thrown up in the air.
The height of the ball is modeled by the function
f(x)=-16t2+32t+3
What is the maximum height of the tennis ball?
19
Add the polynomials:
(-3 +2i) + (7 + 5i)
4 + 7i
Solve using the quadratic formula
-2x2+8x+10=0
x=-1 and x=5
Multiply:
(3i)(2i)
-6
x2-49
(x-7)(x+7)
A tennis ball is thrown up in the air.
The height of the ball is modeled by the function
f(x)=-16t2+32t+3
How long does it take for the tennis ball to reach its maximum height?
1 sec
Add the polynomials:
(3 + 9i) + ( -3 +6i)
15i
Solve using the quadratic formula
x2 +4x+5=0
-2+i and -2-i
Multiply:
(3+5i) (3-5i)
34
x2+10x+25
(x+5)(x+5)
A tennis ball is thrown up in the air.
The height of the ball is modeled by the function
f(x)=-16t2+32t+3
How long does it take for the tennis ball to hit the ground?
2.09 seconds
Add the polynomials:
(-3+4i) + (2+7i)+(5+4i)
4+15i
Solve using the quadratic formula
3x2+27=0
3i and -3i
(4-2i)(4+2i)
20
y2 + 5y -6
(y+6)(y-1)
How high is the tennis ball at 1.5 seconds?
Add the polynomials:
(55+2i)+(89-3i)+(-14-7i)=
130-8i
Solve using the quadratic formula
x2-16x+89=0
8+5i and 8-5i
(10-5i)(10+5i)
125
(x-22)(x+2)