During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation y = -0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation y = -0.01x2 + 0.18x + 5. If x
represents the distance the pumpkin traveled in feet and y represents height of the pumpkin in feet, what does the
intersection point of the equations represent?
the height at which the pumpkins reach their greatest horizontal distance from the launch site
the horizontal distance of the pumpkins from the launch site when they reach the ground
the starting height of the pumpkins when they are at the launch site
the horizontal distance of the pumpkins from the launch site when their heights are the same

the one below it is a function

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

what am i looking for finish the question.

step-by-step explanation: