Let's solve this by using the quadratic formula:
Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:
And so by evaluating those values we obtain:
Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:
Second Factor:
And so your factors are
meaning that those are your roots/x-intercepts.
You need to make a proportion. Then cross multiply and divide to find your answer.
blue 3 12
red 2 x
(2)(12) = 3x
24 = 3x
x = 8
There are 8 red marbles
$250,000 x 0.04 = 10,000 in addition to the original amount
(x-h)^2+(y-k)^2=r^2
center is (h,k)
radius is r
means that ny point, r units from (h,k) is on it
means that the points (h+r,k) and (h-r,k) and (h,k+r) and (h,k-r) are defenitely on the circle
given
(x-2)^2+(y-(-3))^2=2^2
center is (2,-3)
radius is 2
points on it are
(4,-3) and (0,-3) and (2,-1) and (2,-5)
there are more, but these are 4 that are defenitely on it
