Write a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)?
1 answer:
a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)
when p and q are the roots then we use equation
y = a(x- p)(x-q)
We are given with roots 3 and -1
y = a(x- 3)(x-(-1))
y = a(x- 3)(x + 1)
Now we use the given point (-3,3) to find out 'a'
3 = a(-3- 3)(-3 + 1)
3= a(-6)(-2)
3= 12a
divide by 12 on both sides
Replace the value of 'a'
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part A)
part B)
f(x) = 10 + 20x
so if you rent the bike for a few hours that is
1 hr.............................10 + 20(1)
2 hrs..........................10 + 20(2)
3 hrs..........................10 + 20(3)
so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.
f(100) = 10 + 20(100) => f(100) = 2010.
f(100), the cost of renting the bike for 100 hours.