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:
7cm²
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: 36/200 = 18/100 = 18%
Step-by-step explanation:
Answer:
V = 603.43 cm³
Step-by-step explanation:
V = πr²h
Where r = 4 cm, h = 12 cm
V = 22/7 × 4² × 12
V = 22/7 × 4 × 4 × 12
V = 4224/7
V = 603.43 cm³
