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:
in 4 weeks
Step-by-step explanation:
24+8(4)=56
36×5(4)=56
in 4 weeks they both will have $56
The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .
Answer:
18/40
Step-by-step explanation:
1. Find a common denominator
8, 16, 24, 32, 40
5, 10, 15, 20, 25, 30, 35, 40
2/8 times 5= 10/40
1/5 times 8= 8/40
10/40 plus 8/40= 18/40
