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
No they don't.
Phythagorean triple is when the sum of the squares of two numbers is equal to the square of another number.
20^2 + 24^2 = 400 + 576 = 976
31^2 = 961
20^2 + 24^2 should have been equal to 31^2 but that's not the case. So, the side's length don't form a triple.
Hope it helped!
Answer:
$7.42
Step-by-step explanation:
1. divide $3.18 by 3 (it equals $1.06)
2. multiply $1.06 by 7 (it equals $7.42)
Answer:
z=-25.4
Step-by-step explanation:
Add 11.5 to both sides of the equation, then simplify. Multiply all terms by the same value to eliminate fraction denominators