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const2013 [10]
3 years ago
6

For the function below, state the x-coordinate of the x-intercept that is located to the fight of the origin.

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

Answer:3

Step-by-step explanation:

OLga [1]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

<em>Let's solve this using algebra:</em>

<em>0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)</em>

<em />

<em>Hence, x = -3 and x = 3</em>

<em />

The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

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