21
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 21 • West - CCSD GSE College Readiness Mathematics B - ACTIVE

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

Answer
A
(–5, –80)
B
(5, 0)
C
(5, 0) and (–5, –80)
D
no solutions

Explanation

Set the equations equal: x² − 2x − 15 = 8x − 40. Rearranging gives x² − 10x + 25 = 0, or (x − 5)² = 0, so x = 5. Substituting into y = 8x − 40 gives y = 0, so the solution is (5, 0), choice B.

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