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
Nearest 100: 200
nearest 10: 200
The bananas are not an equal number so you would not have the same amount unless you take one out.
Answer:
[-20.25;+∞).
Step-by-step explanation:
1) according to the properties of the given parabola the minimum is:
2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;
3) finally, the range y≥-20.25.
Answer:
50.031 watts
Step-by-step explanation:
Formula
Power = Force * distance / time
The units are critical
distance = meters
time = seconds
force = newtons = kg * m / s^2
Solution
F = m * a
a = 9.81
m = 102 kg
F = 102 * 9.81 = 1000.62 Newtons
T = minute = 60 sec/min * 1 min
T = 60 seconds
d = 3 meters
Power = 1000.62 * 3 / 60
Power = 50.031
