14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

The equation:

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is in the form:

with

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The roots are given by the quadratic formula:

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√

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√

(

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)

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(

)

(

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)

(

)

√

144

√

169

That is:

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Determine the slope and vertical intercept of the following linear function below

Sedaia [141]

to get the slope of it, we simply need two points off the table, say (-4,-114) and (2,48). Recall that the y-intercept, where the graph <u>intercepts</u> the y-axis, when that happens x = 0, so is right there on the table already.

$\bf \begin{array}{rrll} x&y\\ \cline{1-2} -4&-114\\ -2&-60\\ 0&-6&\leftarrow y-intercept\\ 2&48\\ 4&102 \end{array}~\hfill (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-114})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{48})$

$\bf slope\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{48-(-114)}{2-(-4)}\implies \cfrac{48+114}{2+4}\implies \cfrac{162}{6}\implies 27 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(\stackrel{slope}{27}~~,~~\stackrel{y-intercept}{-6} \right)~\hfill$