Question

Determine the xx-intercepts of the following equation.
left parenthesis, 5, x, minus, 25, right parenthesis, left parenthesis, 4, x, minus, 8, right parenthesis, equals, y
(5x−25)(4x−8)=
y
Answer
Multiple Choice Answers
left parenthesis, 5, comma, 0, right parenthesis, and , left parenthesis, 2, comma, 0, right parenthesis(5,0) and (2,0)
left parenthesis, 200, comma, 0, right parenthesis(200,0)
left parenthesis, 0, comma, minus, 200, right parenthesis(0,−200)
left parenthesis, 0, comma, 5, right parenthesis, and , left parenthesis, 0, comma, 2, right parenthesis(0,5) and (0,2)
left parenthesis, 5, comma, 0, right parenthesis, and , left parenthesis, minus, 2, comma, 0, right parenthesis(5,0) and (−2,0)
left parenthesis, 0, comma, 200, right parenthesis(0,200)

Answer 1

Set y = 0: (5x − 25)(4x − 8) = 0.
So 5x − 25 = 0 → x = 5, and 4x − 8 = 0 → x = 2.
X-intercepts: (5, 0) and (2, 0).