Which ordered pair describes the origin? A) (0, 0) B) 1, 1) C) (0, 1) D) (1, 0)

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

Step-by-step explanation:

because the origin is where the lines meet. So its in the middle making it (0,0)

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The graph of y = 4x2 - 4x – 1 is shown.

11Alexandr11 [23.1K]

Answer:

i) The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

ii) The approximate solutions are: $x_{1}\approx -0.5$ , $x_{2} \approx 1.5$ .

Step-by-step explanation:

i) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 0$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

$y = 0$ (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

ii) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 2$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

$y = 2$ (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: $x_{1}\approx -0.5$ , $x_{2} \approx 1.5$ .