Hello!
To find the domain of the function h(x), we need to find the values of x where it is undefined.
We can begin by factoring the denominator of the rational function, h(x).
h(x) = 1/(3x² - 15x) (factor 3x from the binomial)
h(x) = 1/3x(x - 5)
After factoring the denominator, apply the zero product property.
3x = 0 (divide both sides by 3)
x = 0
x - 5 = 0 (add 5 to both sides)
x = 5
The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.
So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).
Get on mathpapa is shows you the answer and how to explain it
Thats figure is made of 2 triangles and 1 rectangle
so we will find the area of triangles and rectangles then add them
Triangle Area=1/2*x/2*2=x/2
multiply by 2 as we have two triangles=2*x/2=x
Area of a rectangle=x*2=2x
Add them=x+2x=14(given area of trepaziod
3x=14
hope i am correct
Answer:
6400
Step-by-step explanation:
so every 5 hours it gains 800 bacteria so 4800+800=5600 (hour 10)
and 5600+800=6400 (hour 15)
