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.
Answer:
7x+1
Step-by-step explanation:
When you look at the expression(3x+2+4x-1), you will notice that some have variables while some are just regular numbers.
First, focus on the variables. 3x and +4x. In the expression, you will have to add it so 3x+4x will be 7x. Now, keep 7x on the side and switch to the numbers.
Next, focus on the numbers. 2 and -1. All you have to do is combine them which will be 2-1 which also equals 1.
Finally, return 7x with 1 which will be 7x+1. The reason you add a + sign instead of a - sign is because you got positive 1, not negative 1.
Your answer is 7x+1.
Answer:
yes
Step-by-step explanation:
when you are dividing fraction, you have to flip the 2nd fraction (reciprocal)
16 / 3/4 is equal to 16 * 4/3
A line, an infinite number of points compose a line, an infinite number of lines compose a plane, and so on...
