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2 years ago

PLS HELP! Solve and graph, y=1/3x-1 pls!!!!!!! show steps

Mathematics

1 answer:

yaroslaw [1]2 years ago

5 0

Answer:

See below for a graph.

Step-by-step explanation:

The equation of the line is in slope-intercept form. The slope is the coefficient of x, 1/3. The y-intercept is the added constant, -1.

These mean the line goes through the point (0, -1) on the y-axis and increases by 1 unit vertically for every 3 units of positive horiontal movement. These facts can help you draw the graph.

The steps are:

identify the y-intercept on the coordinate plane
find a point that is 3 units to the right and 1 unit up
draw the line through these two points.

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Read 2 more answers

Help please!<br><br> | 2x^2 + 5x + 3 | > 0<br> solve the inequality

vovikov84 [41]

Factorize the quadratic.

$2x^2 + 5x + 3 = (2x + 3) (x + 1)$

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$|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0$

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$(2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1$

So the solution to the inequality is the set

$\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}$

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2 years ago