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

Let's solve this using algebra:

$0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)$

Hence, x = -3 and x = 3

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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What is the answer for part b

trasher [3.6K]

Answer:

(-3,-10)

Step-by-step explanation:

Given part a, you seem to know the midpoint formula. We can easily edit that to figure out what an endpoint is. Say that a variable "a" represents the x coordinate of D, and b the y coordinate. As the x coordinate of M is 0.5, and the x coordinate of C is 2, we can use the midpoint formula to say that $\frac{a+2}{2} =-0.5$ . Multiplying both side by 2, we get that a+2=-1, and subtracting both sides by 2, a=-3. Similarly, $\frac{b+7}{2} =-1.5$ , b+7=-3, and b=-10, making our answer (-3, -10). Let me know if you have any questions.