Answer:
A, y = {x²+ 6 x < 3
{-x + 6 x ≥ 3
Step-by-step explanation:
the parabola (the u shaped graph or the graph that is on top) is expressed by the function x² + 6, as it is 6 units up from the origin (0,0)
the line is expressed by the function -x + 6, as its first reflected across the x axis from the origin (0,0) and is then shifted 6 units up
these functions on this graph represent a piecewise function
looking at x² + 6, we see that it has an open circle on (3, 15). this means that the x coordinate 3 is not included in the solution to the function, and any x values that would be included are less than 3. in an inequality, this is expressed as x < 3
looking at our answer choices, this matches answer A. but let me continue with the explanation in case you run into a question that doesnt have it that easy
when we look at -x + 6, we see that it has a closed circle on (3,4) (approx (3,4), not sure about y-coordinate but its still the same). a closed circle means that the x coordinate 3 is included in the solution, and any numbers <em>greater than 3</em> are included in the solution. as an inequality, this is expressed as x ≥ 3
again we look at our answer choices and see that A is the only choice that supports both of these functions, so A is our answer
Let x= 2.3181818...
then
10x=23.181818... and
1,000x=2,318.1818...
1,000x-10x=2,318.1818...-23.181818...
990x = 2,318 - 23
990x = 2295
x=2295/990
dividing by 5 both numerator and denominator:
x= 459/198
now, x= 198 + 198+ 63
so
Answer:
If he failed it once, then the probability out of two times is 1/2. He has a 50% chance of failing the drug test again.
I hope this helps!
