Each person should get 4 4/5. That will be between the numbers 4 and 5.
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
Answer:
c
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-12(x-12)=-9(1+7x)
-12x+144=-9-63x
-12x+63x=-9-144
51x=-153
x=-153/51=-3
Answer:
36°
Step-by-step explanation:
By remote interior angle theorem:
b + 81° = 117°
b = 117° - 81°
b = 36°