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
6x4=24
Multiplication is just repeating addition! For example, you can use repetitive (repeating) addition to solve 6x4.
6+6+6+6=24
I added 6 4 times to get to 24. I added it four times because you are multiplying 6 by 4! I am adding 6 (the first number) 4 times (the second number)!
Other examples:
1 x 7=7 because 1+1+1+1+1+1+1=7
2x2=4 because 2+2=4
I hope this helped! :)
Answer:
4
Step-by-step explanation:
3, 4, 4, 5, 6
