Question

Can you please tell me what are the x intercepts for
g(x)=(2x-3)(x-6)

Answer 1

The possible answers are
(3,0) and (6,0)
(1.5,0) and (6,0)
(-3,0) and (-6,0)
(-1.5,0) and (-6,0)
But not (3/2) and (6,0)

Answer 2

Thank you, they did not say I use decimal forms, so thank you

Answer 3

To find the x-intercepts of a function, you set the function equal to zero and solve for x.

In this case, the function is g(x) = (2x - 3)(x - 6). To find the x-intercepts, you set g(x) = 0:

0 = (2x - 3)(x - 6)

This equation has x-intercepts where either (2x - 3) = 0 or (x - 6) = 0.

Solving (2x - 3) = 0:
2x - 3 = 0
2x = 3
x = 3/2

So, one x-intercept is x = 3/2.

Solving (x - 6) = 0:
x - 6 = 0
x = 6

So, another x-intercept is x = 6.

Therefore, the x-intercepts for g(x) = (2x - 3)(x - 6) are x = 3/2 and x = 6.

Answer 4

I apologize for the confusion with the format of the x-intercepts. Let's convert the fractions to decimals to match the possible answers:

The x-intercepts for the function g(x) = (2x - 3)(x - 6) are:
x = 3/2 = 1.5
x = 6

So, the x-intercepts, expressed as decimals, are:
(1.5, 0) and (6, 0)

Therefore, the correct answer choice is:
(1.5, 0) and (6, 0)

Answer 5

You're welcome! If the question didn't specify using decimal form, expressing x-intercepts as fractions such as 3/2 is also perfectly acceptable. If you have any more questions or need further assistance, feel free to ask!