char2426
char2426 char2426
  • 08-09-2021
  • Mathematics
contestada

How many x-intercepts does the graph of y = (2x +5)(x −9) 2have? Explain. QUICK PLEASE!

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NgShiYin
NgShiYin NgShiYin
  • 08-09-2021

Answer: 2

Step-by-step explanation:

x-intercepts are points on a graph that lie directly on the x-axis and have 0 as their y-coordinate value. To find the x-intercepts, we just have to replace the y in the equation with 0.

y = (2x+5)(x-9)

0 = (2x+5)(x-9)

Apply zero product rule.

2x+5 = 0  OR  x-9 = 0

x = -[tex]\frac{5}{2}[/tex]  OR x = 9

Thus, the two coordinates of the x-intercepts are: (-[tex]\frac{5}{2}[/tex], 0) and (9, 0)

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