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.
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
Answer:
the Bision is 10 miles / hour faster if he could keep it up
Step-by-step explanation:
There are 60 minutes in an hour.
Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.
Now you have to convert 212200 to miles. Do this by dividing by 5280
212200/5280 = 40 miles.
Kind of hard to believe isn't it. 40 miles is a long way when you are running it.
The bison is faster by 10 miles / hour.
This can be done all in 1 step if you know how to do dimensional analysis
3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles
First you have to find the like terms
3xy + 10xy - 2xy and -5x + 2x
After that you solve for the like terms to find the final answer
11xy-3x
