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Answer:
y >= 8
Step-by-step explanation:
This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.
Answer:
2017.
Step-by-step explanation:
The equation for the future sale of motorcycles
= 5.75(1.16)^t where t is in years
For cars it is
3.5(1.25)^t
3.5(1.25)^t > 5.75(1.16)^t
(1.25)^t > (5.75/3.5) 1.16^t
t ln 1.25 > ln 1.64286 + t ln 1.16
t ln 1.25 - t ln 1.16 > ln 1.64286
t (ln 1.25 - ln 1.16) > ln 1.64286
t > ln 1.64286 / (ln1.25 - ln 1.16)
t > 6.64 .
So the answer is in the year 2017.