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:
B
Step-by-step explanation:
We know that
Jayden cleans 12 rooms in---------------> <span>6 hours
X rooms-------------------------------------> 4 hours
X=4*12/6--------> 48/6---------> 8 rooms
that means </span>Jayden cleans in 4 hours 8 rooms
Chandra cleans 12 rooms in---------------> 12 hours
X rooms-------------------------------------> 4 hours
X=4*12/12--------> 48/12---------> 4 rooms
that means Chandra cleans in 4 hours 4 rooms
the answer is
<span>Jayden = 8 blankrooms
</span><span>Chandra = 4 blankrooms</span>
The inverse is h squared -1 (x) = 2/5x -8/5
