2 years ago

Complete the description of the slope of the line that joins the points

Mathematics

1 answer:

madam [21]2 years ago

5 0

Step-by-step explanation:

the points are undefined

yeah I gotchuuu

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Answer: B good luck on your work

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3 years ago

given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0

jonny [76]

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx$
$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
$\implies \dfrac12y^2=x^3+2x^2+C$

When $x=1$ you have $y=\sqrt{10}$ , so

$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

and so the particular solution to the ODE is

$\dfrac12y^2=x^3+2x^2+2$

Then when $x=0$ , you get

$\dfrac12y^2=0^3+2(0)^2+2=2$
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where we omitted the negative root because it's given that $y>0$ .

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Using the graph at the left, it shows the height h in feet

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Nick bought a video game for $55, which was 20% off the original price. what was the original price?

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3 years ago

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