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3 years ago

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KiRa [710]3 years ago

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Which most likely occurs because resources are nonrenewable and because wants and needs are unlimited?

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i really need to know the equation of the line that is shown on the graph in slope intercept form (y=mx+b). questions 4-9. it’s

melamori03 [73]

Step-by-step explanation:

4. y=-6/3x+3 (if you can simplify put y=-2x+3)

5. y=5/2x+1

6. y=-8/2x -5 (if you can simplify put y=-4x-5)

7. y=-6/6x+2 (if you can simplify put y=-x+2)

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3 years ago

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Which number comes first if the numbers 2.001, 0.0035, 0.0005, 4.56094 are arranged in order from most to fewest significant dig

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Step-by-step explanation:

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3 years ago

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Graphing in Point-Slope Form y−y1=m(x−x1) <br> <br> Graph the equation y+7=−45(x−4) ?

nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - a point on a line</em>

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: <em>(4, -7)</em><em>.</em>

<em>Convert to the slope-intercept form:</em>

$y+7=-\dfrac{4}{5}(x-4)$ <em>use the distributive property</em>

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ <em>subtract 7 from both sides</em>

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put <em>x = -1</em><em> </em>to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point <em>(-1, -3)</em>.

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4 years ago