In the xy-plane the point (2,5) lies on the graph of the function f. IF f(x) =`k-x^2` where k is a constant, what is the value of k?

If x-4 is a factor of x^(2)-kx+2k , where k is a constant, what is the value of k?

In the xy-plane, the point (3, 6) lies on the graph of the function f(x)=3x^(2)- bx+12 . What is the value of b?

If xy=k , where k is a constant and y=21 , when x=6 , what is the value of y when x=9 ?

If the point (2,\ -2) lies on the graph of the linear equation 5x+k y=4 , find the value of k

In the xy -plane, the graph of the function f (x) = x^2 + 5x + 4 has two x -intercepts. What is the distance between the x-intercepts?

Find the value of k for which the point (1,\ -2) lies on the graph of the linear equation x-2y+k=0

The expression 1/3x^2-2 can be rewritten as 1/3(x-k)(x+k) , where k is a positive constant . What is the value of k ?

f(x)=3x^(3)+kx^(2)-32x+28 The function f is defined by the equation above where k is a nonzero constant. In the xy-plane the graph of f intersects the x-axis at three points: (-2, 0), ((3)/(2), 0), and (c, 0) . What is the value of k?

The function f is defined by f(x)=x^4-4x^4 -x^2+cx -12 , where c is a constant.In the xy-plane, the graph of f intersects the x-axis in the four points (-2,0), (1,0), (p,0), and (q,0). What is the value of c ?