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SIZIF [17.4K]
2 years ago
12

9. Josh and his friends are having a race home from

Mathematics
1 answer:
romanna [79]2 years ago
3 0

Answer:

josh has the fastest average speed of 0.03 km/h

Step-by-step explanation:

shown my working in the image linked . i hope it is helpful how i have worked it out .

I hope its helpful . if you need any more help pls let me know if you can't read it pls let me know . I have tried explaining as much as I can.

pls give brainliest if you found my answer useful :)

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Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2,
azamat

By "slope" I assume you mean slope of the tangent line to the parabola.

For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :

y=ax^2+bx+c\implies y'=2ax+b

The slope at <em>x</em> = 1 is 5:

2a+b=5

The slope at <em>x</em> = -1 is -11:

-2a+b=-11

We can already solve for <em>a</em> and <em>b</em> :

\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3

2a-3=5\implies 2a=8\implies a=4

Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:

4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8

So the parabola has equation

\boxed{y=4x^2-3x+8}

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3 years ago
Write an equation in point slope form for the line through the given point with the given slope (4,-6); m=3/5
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The\ point-slope\ form:y-y_1=m(x-x_1)\\---------------------\\m=\frac{3}{5}\\\\(4;-6)\to x_1=4\ and\ y_1=-6\\\\subtitute:\\\\y-(-6)=\frac{3}{5}(x-4)\\\\\boxed{y+6=\frac{3}{5}(x-4)}
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Answer:

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Step-by-step explanation:

Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...

   T(x, y) ⇒ (x-3, y-6)

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Answer:

89 m is the answer gl!

:)))

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