What is the maximum height the cricket reaches? Round to the nearest thousandth.

Crickets can jump with a vertical velocity of up to 14ft/s. Which equation models the height of such a jump, in feet, after t seconds?

Option B. h (t) = - 16t^2 + 14t

What is the maximum height the cricket reaches? Round to the nearest thousandth: h = 3.063 feet

What is the cricket's hang time (amount of time the cricket is airborne)? Round to the nearest thousandth: T = 0.875 seconds

I just did the assignment, so I know these answers are correct.

Step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb