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.
Answer:
Step-by-step explanation:
5+7x12+75-94x347+7 2/9
Answer: 1350 miles
Step-by-step explanation:
Given that one inch is 450 miles. We can use a proportion to solve for miles at 3 inches.
x=450*3=1350 mi
Solve the first part of the equation
2.5 X 10 = 25
2.5 X - x = - 2.5x
+ 21
which all added together equals - 2.5x + 46
Now for the second part of the equation
- 3.5 X 3x = - 10.5x
- 3.5 X 20 = - 70
+ 84
which all added together gets you - 10.5x + 14
once you have both parts of the two sides solved, you have to start subtracting from each sides
- 2.5x + 46 = -10.5x + 14
- 46 + 46
- 2.5x = -10.5x + 60
-10.5x +10.5x
-13x = 60
60 ÷ -13x
x = -4.61
The digit in the tenths place is the 1 that is after the decimal point
