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:
https://www.percentagecal.com/answer/52.3-is-what-percent-of-%20%201046
Step-by-step explanation:
This will help you calculate any future percentages.
3 log 2x = 4
==> log 2x = 4/3
==> 2x = 10^(4/3)
==> x = \frac{10^(4/3)}{2}
Answer:
A. The solutions are 
.
B. The factored form of the quadratic expression 
Step-by-step explanation:
A. To find the solutions to the quadratic equation 
you must:
The solutions are:
B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.
To factor 
:
First, multiply the constant in the polynomial by 
where is equal to -1.
Since both terms are perfect squares, factor using the difference of squares formula
