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3 years ago

What is the x-intercept of the graph?

Mathematics

2 answers:

Umnica [9.8K]3 years ago

8 0

Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get <em>x = 6</em>.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

Ksenya-84 [330]3 years ago

4 0

Answer:

(6,0)

Step-by-step explanation:

The x intercept is where the graph crosses the x axis

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<u>Explanation:</u>

Given

3y³ = 2x⁹ + 1

y³ = 2/3x⁹ + 1/3

y = ∛2/3 x⁹ + 1/3

We need to first find dy/dx which is the first derivative and then d²y/dx² which is the second derivative

$\frac{dy}{dx} = \frac{2x^8}{y^2}$

$\frac{d^{2}y }{dx^2} = \frac{16x^7}{y^2} - \frac{8x^1^6}{y^5}$

Put the value of (1,1) : x = 1 and y = 1 in d²y/dx² equation

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$\frac{d^2y}{dx^2} = 16 - 8\\\\\frac{d^2y}{dx^2} = 8$

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