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3 years ago

40.An instrument that is inconsistent in measuring a variable would lack: trustworthiness credibility triangulation reliability

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer: Reliability

Explanation: Reliability is the term that is used in the field of the tool which defines the consistency of the variables and the results. It assures that the readings of the valuers that are obtained can be repeated in future experiments or study. It is also known as the dependability.

Other options are incorrect because trustworthiness and credibility are referred as the validity of the collected values and triangulation is known for tracking.Thus, the correct option is reliability

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3 years ago

Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

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Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

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$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

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Rough work

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

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Equivalent expression is: $-6(\frac{1}{4})$

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The expression becomes

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$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

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$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

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$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Solved

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