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A dolphin jumps out of the water, as shown. The function h = -16 + 26t models the height h (in feet) of the dolphin after t seconds. After how many seconds is the dolphin at a height of 5 feet? Round your answers to the nearest tenth.​

Respuesta :

Answer:

Step-by-step explanation:

Given function l:

h= -16t² + 26t

where h represents height and t represents time.

The time for dolphin atbthe height 5 feet is given by putting the value of h as 5 in the function,

5 = -16t² + 26t

16t² - 26t + 5 = 0

For this equation: a=16, b=-26, c=5

Use quadratic formula with a=16, b=-26, c=5.

x=(−b±√b2−4ac)/2a

x=−(−26)±√(−26)2−4(16)(5)/2(16)

x=13/16 + 1/16√89 or x=13/16+ −1/16√89

x=1.40 or 0.22