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
He still has 1938.5 kilograms of chicken left. Hope it helped.
Answer:
Step-by-step explanation:
<u>This is the proportional relationship:</u>
<u>We have x = 3, y = 24, then k is:</u>
<u>The table will look as:</u>
- x = 1 ⇒ y = 1*8 = 8
- x = 2 ⇒ y = 2*8 = 16
- x = 5 ⇒ y = 5*8 = 40
Correct choice is C
Answer:
$295.01
Step-by-step explanation:
Using the compounding continuously formula, we are looking for A. We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4. Filling in we have:
Simplifying that multiplication:
.
On your calculator, raise e to the .44 power to get
A = 190(1.552707219) and
A = $295.01
The congruent side is going to be 9
