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.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.