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Liula [17]
3 years ago
6

Which graph represents the piecewise-defined function? y={−45x−3   if  x<03x−10   if  x≥2

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

Step-by-step explanation:

y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.

\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

  • (0, -3) has an open dot
  • nothing is plotted between x = 0 and x = 2
  • (2, -4) has a closed dot
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B is the best answer

The question is illustrated with the attached figure.

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

tan\theta = \frac{Opposite}{Hypotenuse}tanθ=

Hypotenuse

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In this case:

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∗

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