stilt scored 5 points less than twice the number scored by dunk. together they scored 43 points. how many points were scored by
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Answer:
Step-by-step explanation:
Since we're dividing the polynomial by , we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of from descending powers and the constant.
The coefficient of is 3
Since we don't see an , the coefficient will be 0.
The coefficient of is 5.
Lastly, the constant, which is the term without the is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of is 3.
The coefficient of is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually .
Now putting all the pieces together, we get:
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.
