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2 years ago

Write an equation for the graph below in slope-intercept form:

Mathematics

1 answer:

Zanzabum2 years ago

8 0

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .

(0,-2)

(2,0) Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <

The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2

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almond37 [142]

Answer:

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2 years ago

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Find the number that makes the ratio equivalent to 2:6.<br><br> 8:

Citrus2011 [14]

A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.

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3 years ago

Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

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$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
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3 years ago

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Andreas93 [3]

Answer:

(6,1)

Step-by-step explanation:

(6,1)

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2 years ago

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find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.

GREYUIT [131]

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

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