Let ?(?) = ??^2 + 7? + 8 and ?(?) = 3?^2 − ?? + 3.The functions are combined to form ℎ(?) = ?(?) + ?(?).If the points (1, 18) and (−1,14) are both points on ℎ(?), determine the values of ? and n Let f(x) = mx? + 7x + 8 and g(x) = 3x? – nx + 3.The functions are combined to form h(x) = f(x)+ g(x).If the points (1,18) and (-1,14) are both points on h(x), determine the values of m and n.

Given query is to find the value of m and n.

Answered: Let f(x) = mx² + 7x+ 8 and g(x) = 3x² –…

Let f(x) = mx² + 7x+ 8 and g(x) = 3x² – nx +3. The functions are combined to form h(x) = f(x) + g(x). If the points (1,18) and (–1,14) are both points on h(x), determine the values of m and n.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 31CR

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Question

Let ?(?) = ??^2 + 7? + 8 and ?(?) = 3?^2 − ?? + 3.
The functions are combined to form ℎ(?) = ?(?) + ?(?).
If the points (1, 18) and (−1,14) are both points on ℎ(?), determine the values of ? and n