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:
21,000
Step-by-step explanation:
........................
Answer:
12 in squared
Step-by-step explanation:
Since the side on the bigger figure is 6 and the smaller figure‘s side is 3, that means the smaller figure is half the size of the big figure.
So.. 24 divided by 2 is 12
Answer:
1.75 hours
Step-by-step explanation:
Time for day 1 : 4.5 hrs
Time for day 2: (4.5 ×2.5)
Time for day 3: let it be denoted by a variable ,say T.
Total Time= 17.5
(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5
4.5 + (4.5×2.5) + T = 17.5
4.5+11.25+T =17.5
15.75+T=17.5
T=17.5-15.75
T= 1.75
