Given a function f(x)=2x^2+3, what is the average rate of change of f on the interval [2, 2+h]?

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

-8h - 2h^2

f(2)-f(2+h) = -8h - 2h^2

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mina [271]

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3 years ago

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The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR

vfiekz [6]

Answer:

$y = \frac{3}{4} x+ \frac{7}{4}$

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = $\frac{3-(-1)}{2-5} =-\frac{4}{3}$

Therefore, the slope of the altitude passing through Q(-1,1) will be $\frac{3}{4}$ {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is $y=\frac{3}{4} x + c$ where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get

$1 = -\frac{3}{4} + c$

⇒ $c=\frac{7}{4}$

Therefore, the equation of the altitude is $y = \frac{3}{4} x+ \frac{7}{4}$ (Answer)

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3 years ago

Is the line of best fit y=-2.9114x+40.7464 or y=-2.9114x+46.5693 ? Please help i’m in a rush!

Colt1911 [192]

Answer:

line of best fit: y = -2.9114x + 46.569

Step-by-step explanation:

Plugging in your table into Excel, it turns out that y = -2.9114x + 46.569 provides a better fit of the data points into the line. Please see the attached image for details.

Hope this helps.