180/4 = x/6
4x=1080
x=270 miles
Answer:
See below
Step-by-step explanation:
Domain: negative infinity, positive infinity
Range: -392, positive infinity
Y-intercept: (0, -150)
X-intercepts: (25, 0) (-3, 0)
Axis of symmetry: x = 11
Bottom Like They Go on the left horizontally
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Answer:
Step-by-step explanation:I am pretty sure that there can be as much as possible depending on how it is written in the word problem.
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.