Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for
Step-by-step explanation:hope this helps
The equation that can be used to find the number of wolves in the state on January 1 is w - 23 = 84
<h3>How to represent a situation with an equation?</h3>
A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier.
The equation that can be used to find the number of wolves in the state on January 1 can be calculated as follows:
where
- w = number of wolves in the state January 1.
Therefore, the equation to represent the situation is as follows:
w - 23 = 84
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Answer:
The area is 63.75 feet square
Step-by-step explanation:
Formula for area of a triangle is 1/2 × base × height
And we are given each of this variables in the question above
Therefore you just have to input those values to the formula
1/2×17/2×15
255/4
=63.75
Therefore the area of the triangle is 63.75 feet square
