Answer:
The average number of people who entered the stadium per minute was 4,160
Step-by-step explanation:
we know that
To find out the average number of people who entered the stadium per minute, divide the total number of people by the time required to fill the stadium
Let
x ----> the total number of people
y ----> the time required to fill the stadium
we have
so
therefore
The average number of people who entered the stadium per minute was 4,160
Answer:
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
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Explanation:
We'll start with the parent function
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.