Question

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

Answer 1

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 = -$\frac{5}{2}$  OR x = 9

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