Atoy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. the function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. while the mathematical range is y ≤ 5.5, how does the reasonable range compare? the reasonable range is limited to y ≥ 0. the reasonable range is limited to y ≥ 0.6. the reasonable range is limited to 0 ≤ y ≤ 5.5. the reasonable range is limited to 0.6 ≤ y ≤ 5.5.

Step-by-step explanation: so whats the question

The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

Step-by-step explanation:

The function f(x) = −4.9x^2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5

x is the amount of time , time cannot be negative

we find out the height f(x) when x=0 so that we find the reasonable range

When x=0 , f(0)= -4.9(0)^2 + 9.8(0) +0.6= 0.6

the range start at 0.6 and it is less than 5.5

The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14