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Dmitriy789 [7]
3 years ago
12

The quotient of y and 2 is greater than -21

Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

y\div2 > -21\\\\\dfrac{y}{2} > -21\ \ \ \ |\cdot2\\\\y > -42\to y\in(-42,\ \infty)

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Step-by-step explanation:

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A trinomial with a leading coefficient of 3 and a constant term of -5
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This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5

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3 years ago
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Reflection across the line y=x simply swaps the x and y coordinates.
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3 years ago
Can someone help me and explain how you did it?
Feliz [49]

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

<h3><u>Finding the slope</u></h3>

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: \frac{y_2-y_1}{x_2-x_1}

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → \frac{1-4}{5-0} \rightarrow \frac{-3}{5}

This means the slope of the line is -3/5.

<h3><u>Finding the y-intercept</u></h3>

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

<h3><u>Finding the slope-intercept form</u></h3>

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

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3 years ago
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