Question

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation h(x) = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation h(x) = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled and h(x) represents height, what does the intersection point of the equations represent?
a)The height at which the pumpkins reach the greatest distance.
b)The distance at which the pumpkins both hit the ground.
c)The starting height at which the pumpkins are launched.
d)The distance at which the height of the pumpkins are the same.

Answer 1

Answer:

D is the correct answer

Step-by-step explanation:

Answer 2

Hello,

A)
h max
A:-2x/100+32/100=0==>x=16
B:-2x/100+18/100=0==>x=9

B)
y=0
A:-x²+32x+400=0==>x=41.612496... or x=-9.61... exclude
B:-x²+18x+500=0  ==> x=28.1039415...or x=-15.1039.. exclude

C)
x=0
A:y=4
B:y=5

D)-x²/100+32/100x+4=-x²/100+18/100x+5
==>14/100*x=1 ==>x=50/7=7.1428....