Let the three numbers be x, y and z. Then x+y+z=75.
z = 2x. y = x - 9.
Eliminate y and z by substitution: x + (x - 9) + (2x) = 75
Then 4x = 75 + 9, or 4x = 84. x = 21, y = 21 - 9 = 12, and z = 2(21) = 42.
Check: Do 21, 12 and 42 add up to 75?
Step-by-step explanation:
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Answer:
At the time of launch height of the object was 60 meters.
Step-by-step explanation:
An object was launched from a platform and its height was modeled by the function,
h(x) = -5x² + 20x + 60
Where x = time or duration after the launch
At the time of launch, x = 0
So, by putting x = 0 in this equation,
h(0) = -5×(0) + 20×(0) + 60
h(0) = 60
Therefore, at the time of launch height of the object was 60 meters.
