Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(2*x-6)-(10*x-6)=0
2x - 6 = 2 • (x - 3)
8 • (x - 3) - (10x - 6) = 0 -2x - 18 = -2 • (x + 9)
-2 • (x + 9) = 0 Solve : -2 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals zero.
Solving a Single Variable Equation :
Solve :
x+9 = 0 <span>
</span>Subtract 9 from both sides of the equation :<span>
</span> x = -9
The standard equation of parabola:
(y-k)²=4p(x-h), with:
a) vertex = (h,k)
b) focus = (h+p, k)
c) directrix = (x=h-p)
Since this parabola has a vertex at (0,0) that means h=k=0
Hence the equation becomes: y²=4px, let's calculate p:
focus is given (-9,0) Remember h+p = -9 & since h=0, then p= -9
===> y²= - 36x
Since the numerator (1) is positive and the denominator (x-7)^2 approaches zero; where x>0 on both sides means f(x) increases indefinitely (to infinity)
limit = infinity
vertical asymptote at x=7
If you graph it, you will see the vertical asymptote at x =7 and if you make a table using values very close to 7. (example: 6.8, 6.9, 7, 7.1, 7.2) you will see f(x) get larger and larger the closer you get to 7.
then at x=7 ... f(x) does not exist. it's gone to infinity
the answer is 160 because 8 times 5 equals 40 times it by 4 equals 160
