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bagirrra123 [75]
3 years ago
5

Which relationships have the same constant of proportionality between y and x as the following table.

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

Answer:

A, D, E

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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3 years ago
Choose the correct vertex of the function f(x) = x2 - X + 2.
8_murik_8 [283]

Answer:

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

f(x) = x² - X + 2.

Quadratic equation with a = 1, b = -1, c = 2

So

\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7

x_{v} = -\frac{(-1)}{2} = \frac{1}{2}

y_{v} = -\frac{-7}{4} = \frac{7}{4}

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

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3 years ago
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