Provide an appropriate response.A student claims that since logbx = a is not defined for negative values of x, then a must also not be negative. What is wrong with this statement?
What will be an ideal response?
a is an exponent, and if a positive b is raised to a negative power the result will be positive. So, it is possible that a be negative when x is positive.
Mathematics
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Provide an appropriate response.Determine whether or not the point (1, ?) lies on the curve 
Explain.
What will be an ideal response?
Mathematics
Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (0, ±7) and foci (0, ±3)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Mathematics
Write the coordinates for each point.
A. A(-2, 0); B(4, -3) B. A(2, 0); B(4, -3) C. A(-2, 2); B(4, -3) D. A(-2, 0); B(-4, -3)
Mathematics
Find all numbers for which the rational expression is not defined.
A. a = 0 B. None C. a = -9 D. a = 9
Mathematics