Answer:
9
Step-by-step explanation:
The equation for this would be 2x+15000=102,000
2x=87000
x=43500
julian makes 58500
and tutor makes 43500
Answer:
Point of tangency is 
or 
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
Therefore, the point of tangency is or
1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
Answer:
y=2x-1
Step-by-step explanation:
M is the slope for 2 and B is the y int. of -1
Hope this helped!
