SOLUTION: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new funct

Algebra ->  Linear-equations -> SOLUTION: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new funct      Log On


   

Question 1162434: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new function. Determine the values of m and n.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


h%28x%29+=+%282-m%29x%5E2%2B%28n-2%29x-2

Substitute the coordinates of the known points to get two equations in m and n.

h%282%29+=+4+=+%282-m%29%284%29%2B%28n-2%29%282%29-2
h%28-3%29+=+17+=+%282-m%29%289%29%2B%28n-2%29%28-3%29-2

Simplify the two linear equations in m and n and solve by your favorite method....