3 to the 4th power is 81, 3 times itself 4 times.
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Answer:
Step-by-step explanation:
Note that the four input values, {3,4,6,11}, are all unique. Each has exactly one y value associated with it. This is an important criterion when we're deciding whether a relation is a function or not.
Suppose that we added one more input and its associated output:
{3,4,4,6,11}
If it happened that different values of y were associated with the two 4's, then we know immediatel that this relation is not a function.
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Answer:
Step-by-step explanation:
The slope represents how much y is predicted to change on average for each 1 unit in x.
y = appraised value of a house in East Meadow County
x = # of rooms
1 unit of x = 1 additional room
1 unit of y = $1,000
slope = 19.79
Answer: Each additional room in a house in East Meadow County is predicted to increase the appraised value by 19.79 x $1,000 = $19,790, on average.
Note: Since we only sampled homes in East Meadow County, our regression equation is only good to predict appraised values in that county. So, our interpretation must include that fact.