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lions [1.4K]
2 years ago
14

Solve 2x^+8=0 by graphing the related function

Mathematics
2 answers:
garri49 [273]2 years ago
7 0

Answer:

No real solution.

Step-by-step explanation:

Please find the attachment.

We have been given a function 2x^2+8=0. We are asked to find the solution for our given function by graphing method.

We can see that our given function is an upward parabola. We know that solution of parabola is points, where graph intersects x-axis.

We can see from our attachment that our given function never intersects x-axis, therefore, there is no real solution for our given function.

posledela2 years ago
5 0
You cannot solve this equation by graphing because there are no real solutions. 
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OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

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The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

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2 years ago
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In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is
Sergeeva-Olga [200]

Answer:

E?

Step-by-step explanation:

I'm sorry of this answer is wrong

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Answer:

The product of (x-3) and (x+7) is x² + 4x - 21

Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

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damaskus [11]

Answer:

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Step-by-step explanation:

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