Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as . Plugging in the following values would provide you with:
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When running a marathon you heard the timer call out 12 minutes as you passed mile-marker 2. as you passed mile-marker 5 you hea
1 answer:
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Answer:
Step-by-step explanation:
Let the number be x
5 times a number = 5x
24 - 5x = 15
-5x = 15-24
-5x = -9
x= -9/-5
x = 9/5
or x = 1.8
We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.
With this data we can write a generic equation for the function:
f (x) = bx (x + 4) (x-2)
Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.
The graph of the function can be of two main forms, based on the value of the coefficient b.
If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit
If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.
In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1
