Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
1 answer:
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Answer:
y = x - 2
Step-by-step explanation:
<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>
Slope intercept formula: y = mx + b
(m = slope)
(b = y intercept)
If the equation has a slope of m = , then the slope-intercept form would be:
y = x
If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:
y = mx - 2
<u>Putting both of these values into an equation would give option A:</u>
y = x - 2
ANSWER
See below
EXPLANATION
Part a)
The given function is
From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.
At turning point f'(x)=0.
This implies that,
We plug this values into the original function to obtain the y-values of the turning points
We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]
Hence
is a maximum point.
Hence
is a minimum point.
Hence (0,-6) is a point of inflexion
