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
55+10.00x ≥ 150 x ≥ 9.5 hours I hope that helps
Answer:
5/4
Step-by-step explanation:
4y = 5x Divide by 4
y = (5/4) x
To make y = kx from y = (5/4) x
k must be (5/4)
k = 5/4
The line is positive
The line is positive because it slants to the right.
It wouldve been negative if it slanted to the left.
Not 100% sure but I think that it is 14.6
