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.
We have 
, so
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
So the solution to the inequality is the set
