Hey guys can you please help me with this math problem?
2 answers:
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Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.
<h3>What is a proportional relationship?</h3>A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For an inverse relationship, the function is:
.
Then:
k = xy.
Which means that to find k, you take a point (x,y), and multiply the values of x and y.
More can be learned about proportional relationships at brainly.com/question/10424180
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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.
_____
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.
How you solve your problem.
