Answer: 6 inches
Step-by-step explanation:
My graphing calculator computes the best match to a cubic function, which predicts mileage of about 39.7 mpg at 65 mph.
The second-best match is to a quadratic function, which predicts mileage of 29.8 mpg at 65 mph.
Linear regression predicts mileage of about 36.6 mpg at 65 mph.
It appears the best choice of those offered is (D) about 36 mpg.
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Answer:
x-intercept of the graph of the function is,
Step-by-step explanation:
Given the function: ......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of
then;
Divide both sides by 3 we get;
Since, the cotangent function is positive in the first and third quadrants.
The period of the function is so values will repeat every radians in both directions.
we have;
Therefore, the x-intercept of the graph of the function is ;
for every integer n;