Answer:
2700.
Step-by-step explanation:
The total distance would be 2700.
Distance traveled between in 6th second and 12th second is 2430-2160=270 meter. That means Superman covered 270 meter in 6 seconds.
So, now if he is moving at the same speed, he should cover the same distance in first 6 seconds which is 270 meter.
Suppose the whole distance is X when time is 0, and after flying for 6 seconds he now is 2430 meter away. It means that he must have covered the distance of X-2430=270.
Finding for X, we gets the full initial distance, when time was 0.
The simple trick is, once we get the distance he has covered in 6 seconds, we can form the equation like subtracting the whole distance- remaining distance equals to covered distance.
56. and 1.6^4
.....................
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
Factorize the quadratic.
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We have
, so
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Now, both
and
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for
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So the solution to the inequality is the set
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