The average rate of change of a function f(x) over an interval (a, b) is given by

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
6. the answer is 6. because 3x what she has is equal to 18 all u do is divide. u get six.
As the sine rule states,
A/sina = B/sinb = C/sinc .
in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.
there are:
side a, with angle â .
side b, with angle b.
so the answer is C.
if you input these into the sine rule, it would be:
a/ sin a = b/sin b
20miles increased by 30%=new mileage added
20x.3= 6
6 miles more than his previous distance so...
6+20= 26
NOTE you can also use 1.3 instead of .3 as the percent to get the answer with out addition.
Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.