How can you tell if the slope of a tangent line belongs to a certain interval?
2 answers:
The slope of the function is given by its derivative. You want to find the values of x such that the derivative is between -1 and 1.
... f'(x) = 0.4x +5
... -1 < 0.4x +5 < 1 . . . . . your requirement for slope
... -6 < 0.4x < -4 . . . . . . subtract 5
... -15 < x < -10 . . . . . . . multiply by 2.5
Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.
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The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.
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Answer: Ellie borrowed $150.
Step-by-step explanation:
I = PRT
39 = P x 0.065 x 4
39 = P x 0.26
Divide both sides by 0.26
150 = P
The correct option will be: A. 67%
<em><u>Explanation</u></em>
Given equation is: , where
is the length of the film in minutes and
is the percentage of people finish watching the film.
Here, the length of the documentary is given as 95 minutes. So, we will <u>plug into the above equation</u> and get....
<em>(Rounded to the nearest percent)</em>
So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%